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Control systems and control theory based on negative feedback
Linear control are control systems and control theory based on negative feedback for producing a control signal to maintain the controlled process variable
Linear_control
System that manages the behavior of other systems
the result (the control signal) is "fed back" as input to the process, closing the loop. In the case of linear feedback systems, a control loop including
Control_system
Linear optimal control technique
In control theory, the linear–quadratic–Gaussian (LQG) control problem is one of the most fundamental optimal control problems, and it can also be operated
Linear–quadratic–Gaussian control
Linear–quadratic–Gaussian_control
Control theory for nonlinear or time-variant systems
output to bring it closer to the desired output. Control theory is divided into two branches. Linear control theory applies to systems made of devices which
Nonlinear_control
Regulation of nonlinear systems
Linear parameter-varying control (LPV control) deals with the control of linear parameter-varying systems, a class of nonlinear systems which can be modelled
Linear parameter-varying control
Linear_parameter-varying_control
Branch of engineering and mathematics
permitting control of nonlinear systems. These, e.g., feedback linearization, backstepping, sliding mode control, trajectory linearization control normally
Control_theory
Physical system satisfying the superposition principle
mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications
Linear_system
Linear optimal control technique
optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set of linear differential
Linear–quadratic_regulator
Approach used in controlling nonlinear systems
Feedback linearization is a common strategy employed in nonlinear control to control nonlinear systems. Feedback linearization techniques may be applied
Feedback_linearization
Undeciphered writing system of ancient Crete
contains Linear A Unicode characters. Without proper rendering support, you may see question marks, boxes, or other symbols instead of Linear A. Linear A is
Linear_A
Advanced method of process control
thus differing from a linear–quadratic regulator (LQR). Also MPC has the ability to anticipate future events and can take control actions accordingly.
Model_predictive_control
information from the data than what is possible with a linear control law. Linear-quadratic control problems are often solved by a completion-of-squares
Separation principle in stochastic control
Separation_principle_in_stochastic_control
Binary feedback controller
Hamiltonian is linear in the control variable; application of Pontryagin's minimum or maximum principle will then lead to pushing the control to its upper
Bang–bang_control
Engineering discipline that deals with control systems
called classical control theory. In linear control, the student does frequency and time domain analysis. Digital control and nonlinear control courses require
Control_engineering
centralized linear–quadratic–Gaussian control systems—that in a system with linear dynamics, Gaussian disturbance, and quadratic cost, affine (linear) control laws
Witsenhausen's_counterexample
Mathematical way of attaining a desired output from a dynamic system
optimal control problem is locally minimizing. A special case of the general nonlinear optimal control problem given in the previous section is the linear quadratic
Optimal_control
Actuator that creates motion in a straight line
A linear actuator is an actuator that creates linear motion (i.e., in a straight line), in contrast to the circular motion of a conventional electric motor
Linear_actuator
Oscillator with frequency controlled by a voltage input
is a special type of VCO designed to be very linear in frequency control over a wide range of input control voltages. VCOs can be generally categorized
Voltage-controlled_oscillator
Process where information about current status is used to influence future status
Bhattacharya (2011). "§5.3.1 Effect of feedback on parameter variations". Linear Control Systems. Pearson Education India. pp. 134–135. ISBN 978-81-317-5952-3
Feedback
Analog videocassette recording format
linear stereo audiotrack. However, linear stereo was never popular with equipment makers or consumers. Another linear control track at the tape's lower edge
VHS
Flow graph invented by Claude Shannon
obtaining regular expressions from state diagrams. Synthesis of non-linear data converters Control and network theory Stochastic signal processing. Reliability
Signal-flow_graph
American semiconductor manufacturer
Linear Technology Corporation was an American semiconductor company that designed, manufactured and marketed high performance analog integrated circuits
Linear_Technology
Motor vehicle
K110 introduced in July 2004. The K111 adds neutral-gear control and acceleration linear control. Applications: Toyota Noah, Voxy – 2.0L (2004–2007) Toyota
Toyota_K_CVT_transmission
Topics referred to by the same term
up linear in Wiktionary, the free dictionary. Linearity is a property of various things in mathematics, physics, and electronics. Linear, linearly, or
Linear_(disambiguation)
Subfield of machine learning, intelligent control, and control theory
nonlinear systems for which linear control theory methods are not applicable. Four types of problems are commonly encountered: Control parameter identification:
Machine_learning_control
Statistical modeling method
In statistics, linear regression is a model that estimates the relationship between a scalar response (dependent variable) and one or more explanatory
Linear_regression
Type of pendulum
hundreds of papers and theses have used the system to demonstrate linear and non-linear control laws. The system has also been the subject of two texts. Despite
Furuta_pendulum
Control concept
SK Bhattacharya. "§5.3.3 Effect of feedback on disturbance signal". Linear Control Systems: For Punjab Technical University. Pearson Education India. ISBN 9788131759523
Negative_feedback
Branch of mathematics
Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b
Linear_algebra
Machine component that moves a mechanism
of automation or automatic control. The displacement achieved is commonly linear or rotational, as exemplified by linear motors and rotary motors, respectively
Actuator
Algorithm that estimates unknowns from a series of measurements over time
In statistics and control theory, Kalman filtering (also known as linear quadratic estimation) is an algorithm that uses a series of measurements observed
Kalman_filter
Term in control theory
Section 1.2 (Anatomy of a Control System). ISBN 978-0-7506-7839-1 – via Google Books. Fairman, Frederick Walker (1998). Linear Control Theory: The State Space
Plant_(control_theory)
Dynamic system property
modeled by the state-space representation is controllable. For the simplest example of a continuous, linear time-invariant (LTI) system, the row dimension
Controllability
Mathematical test in control system theory
and sufficient condition for the stability of a linear time-invariant (LTI) dynamical system or control system. A stable system is one whose output signal
Routh–Hurwitz stability criterion
Routh–Hurwitz_stability_criterion
Class of statistical models
generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model
Generalized_linear_model
Predictive filter
data smoothing and control applications. It is closely related to Kalman filters and to linear state observers used in control theory. Its principal
Alpha_beta_filter
Electric motor that produces a linear force
A linear motor is an electric motor that has had its stator and rotor "unrolled", thus it produces a linear force along its length, rather than a rotational
Linear_motor
Adjustment to ensure that the tape head is correctly aligned to read the tape
the helical scan signal written onto the tape. In the case of VHS, a linear control track at the tape's lower edge holds pulses that mark the beginning
Video_tape_tracking
Several equations of degree 1 to be solved simultaneously
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example
System_of_linear_equations
Finding linear approximation of function at given point
mathematics, linearization (British English: linearisation) is finding the linear approximation to a function at a given point. The linear approximation
Linearization
separates into a Kalman filter and a linear-quadratic regulator. This is known as linear-quadratic-Gaussian control. More generally, under suitable conditions
Separation_principle
Type of resistor, usually with three terminals
balance control. Potentiometers used in combination with filter networks act as tone controls or equalizers. In audio systems, the word linear is sometimes
Potentiometer
In control theory, visible state of a system
from knowledge of its external outputs. In control theory, the observability and controllability of a linear system are mathematical duals. The concept
Observability
Type of linear motor
A linear induction motor (LIM) is an alternating current (AC), asynchronous linear motor that works by the same general principles as other induction motors
Linear_induction_motor
Israeli academic
Shaked authored the thesis Synthesis of Multivariable Linear Time Invariant Feedback Control Systems, under the supervision of Prof. Isaac M. Horowitz
Uri_Shaked
Australian engineer
and control, and his current work focuses on distributed control of multi-agent systems, sensor network localization, adaptive and non-linear control. Professor
Brian Anderson (electrical engineer)
Brian_Anderson_(electrical_engineer)
Tool for precise linear motion
with "linear stage", though technically "linear slide" refers to a linear motion bearing, which is only a component of a linear stage. All linear stages
Linear_stage
Approach to control of non-linear systems
In control theory, gain scheduling is an approach to control of nonlinear systems that uses a family of linear controllers, each of which provides satisfactory
Gain_scheduling
expended, etc. Also, non-linear constraints such as saturation are generally not well-handled. These methods were introduced into control theory in the late
H-infinity methods in control theory
H-infinity_methods_in_control_theory
Stability criterion in control theory
In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a linear time-invariant (LTI) system change
Root_locus_analysis
Ghanaian engineer
University in the UK where he wrote his dissertation titled "Robust Non-linear Control Designs Using Adaptive Fuzzy Systems." He also holds a project management
Ashitey_Trebi-Ollennu
Mathematical transformation technique
linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear
Carleman_linearization
Rotating or sliding component that transmits variable motion to a follower
a mechanical linkage used especially in transforming rotary motion into linear motion. It is often a part of a rotating wheel (e.g. an eccentric wheel)
Cam_(mechanism)
Problem in control theory
This approach is straightforward for linear systems. However, when it comes to nonlinear systems, dead beat control is an open research problem. The sole
Dead-beat_control
Linear map from a vector space to its field of scalars
In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars
Linear_form
Robot control
Computed torque control is a control scheme used in motion control in robotics. It combines feedback linearization via a PID controller of the error with
Computed_torque_control
theory Control theory Non-linear control Adaptive control Hierarchical control Intelligent control Optimal control Dynamic programming Robust control Stochastic
List of dynamical systems and differential equations topics
List_of_dynamical_systems_and_differential_equations_topics
Russian-American engineer and scientist (1885–1970)
developments titled "Introduction to non-linear mechanics: Topological methods, analytical methods, non-linear resonance, relaxation oscillations". After
Nicolas_Minorsky
Robot with axes of control that are linear and orthogonal
Cartesian coordinate robot (also called linear robot) is an industrial robot whose three principal axes of control are linear (i.e. they move in a straight line
Cartesian_coordinate_robot
Air intake used on supersonic jet engines
of oblique shock waves onto the intake lip, control of which is accomplished by complex non-linear control laws using the ramp void pressure (the pressure
Intake_ramp
System where changes of output are not proportional to changes of input
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change
Nonlinear_system
System of resource-aware logic
Linear logic is a substructural logic proposed by French logician Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the dualities
Linear_logic
Distributed version control software system
distributed, non-linear workflows—thousands of parallel branches running on different computers. As with most other distributed version control systems, and
Git
Visual representation used in non-linear control system analysis
a good understanding of chemical kinetics. A two-dimensional system of linear differential equations can be written in the form: d x d t = A x + B y d
Phase_plane
Python library for symbolic computation
Classical mechanics Continuum mechanics Quantum mechanics Gaussian optics Linear control Normal distributions Uniform distributions Probability Permutations
SymPy
1974 aviation accident in France
Ahmed M.; Taha, Haithem E. (2016). "Airplane loss of control problem: Linear controllability analysis". Aerospace Science and Technology. 55: 264. Bibcode:2016AeST
Turkish_Airlines_Flight_981
Type of sensor
A linear encoder is a sensor, transducer or readhead paired with a scale that encodes position. The sensor reads the scale in order to convert the encoded
Linear_encoder
independently in a number of different contexts and has applications in control theory, linear algebra and mathematical optimization. Let F1 and F2 be symmetric
S-procedure
Mobile robot design
article describes the math model and trajectory control as a baseline to unstable and non-linear control systems. Yorihisa Yamamoto (Japan) inspired by
Ballbot
Type of motor
servo motor or simply servo) is a rotary or linear actuator that allows precise control of angular or linear position, velocity, and acceleration in a mechanical
Servomotor
Branch of engineering
ISBN 978-0-19-960499-9. Fairman, Frederick Walker (11 June 1998). Linear Control Theory: The State Space Approach. John Wiley & Sons. ISBN 978-0-471-97489-5
Electrical_engineering
Möbius transformation generalized to rings other than the complex numbers
In mathematics, a linear fractional transformation is, roughly speaking, an invertible transformation of the form z ↦ a z + b c z + d . {\displaystyle
Linear fractional transformation
Linear_fractional_transformation
Type of free-piston machine
different kinds of fuel. The linear generator also allows the control of the resistance force, and therefore a better control of the piston's movement and
Free-piston_linear_generator
Belgian mathematician (1921–1999)
a mathematical test for determining the controllability of linear control systems. A system is controllable if it can be moved from one state to another
Vitold_Belevitch
Probabilistic optimal control
well-studied formulation in stochastic control is that of linear quadratic Gaussian control. Here the model is linear, the objective function is the expected
Stochastic_control
interaction, unmanned aerial vehicles, driverless cars, swarm robotics, non-linear control, machine vision, robot ethics and soft robotics. The BRL co-directors
Bristol_Robotics_Laboratory
Electronic component
linearization resistors are used. A fundamental limitation of voltage-controlled resistors is that input signal must be kept below the linearization voltage
Voltage-controlled_resistor
Set of statistical processes for estimating the relationships among variables
common form of regression analysis is linear regression, in which one finds the line (or a more complex linear combination) that most closely fits the
Regression_analysis
American control theorist
R. Ragazzini Award IFAC Harold Chestnut Control Engineering Textbook Prize IFAC TC Award on Non-Linear Control Systems IFAC TC Distributed Parameter Systems
Miroslav_Krstić
Estimation method
intersection Ensemble Kalman filter Extended Kalman filter Non-linear filter Unscented optimal control "First-Hand:The Unscented Transform - Engineering and Technology
Unscented_transform
Mathematical model of a system in control engineering
(1975). "A discrete state-space model for linear image processing". IEEE Transactions on Automatic Control. 20 (1): 1–10. doi:10.1109/tac.1975.1100844
State-space_representation
nonlinear control problems. It is based on quasi-linearization, which is the approximation of the non-linear system under investigation by a linear time-invariant
Describing_function
Dimension of the column space of a matrix
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number
Rank_(linear_algebra)
Electronic circuits obeying the superposition principle
A linear circuit is an electronic circuit which obeys the superposition principle. This means that the output of the circuit F(x) when a linear combination
Linear_circuit
Identification of nonlinear systems
Automatica 29 (2013), 70-81 M.Poluektov and A.Polar. Modelling non-linear control systems using the discrete urysohn operator. 2018. Submitted arXiv:1802
Nonlinear system identification
Nonlinear_system_identification
American audio equipment manufacturer
Ultracompact Wide Coverage Loudspeaker introduced X-10 High Resolution Linear Control Room Monitor introduced TEC award for Outstanding Technical Achievement
Meyer_Sound_Laboratories
Soviet scientist
department of missile control systems of the faculty of reactive armament. He was engaged in the development of the theory of linear control systems, as well
Alexander_Feldbaum
Indicator for how well data points fit a line or curve
several definitions of R2 that are only sometimes equivalent. In simple linear regression (which includes an intercept), r2 is simply the square of the
Coefficient_of_determination
Signal processing operation
warping the frequency response of any discrete-time linear system (for example to approximate the non-linear frequency resolution of the human auditory system)
Bilinear_transform
Electrical isolation mechanism
reduced controlling currents, but resulted in a nonlinear modulation. Therefore, other producers preferred incandescent lamps for their linearity. In 1967
Resistive_opto-isolator
Approximation method in statistics
linear or ordinary least squares and nonlinear least squares, depending on whether or not the model functions are linear in all unknowns. The linear least-squares
Least_squares
Distance between linear operators
theory, robust control, and feedback system analysis. Let H1 and H2 be Hilbert spaces, and let P: Dp ⊆ H1 → H2 be a (possibly unbounded) linear operator with
Gap_metric
Management of the rotational speed of a computer fan
the fan and the control pin is an open-drain or open-collector output, which requires a pull-up to 5 V or 3.3 V in the fan. Unlike linear voltage regulation
Computer_fan_control
engineering building. He published another standard text, this time on non-linear control systems. After eight years at Swansea, in 1964 he took over as Director
Robert_Macmillan
Method used in statistics, pattern recognition, and other fields
Linear discriminant analysis (LDA), normal discriminant analysis (NDA), canonical variates analysis (CVA), or discriminant function analysis is a generalization
Linear_discriminant_analysis
In-cab signalling and train protection system
word Linienzugbeeinflussung translates to continuous train control, or more literally: linear train influencing. It is also occasionally called linienförmige
Linienzugbeeinflussung
Mathematical convex optimization
Balakrishnan, Linear Matrix Inequalities in System and Control Theory (book in pdf) C. Scherer and S. Weiland, Linear Matrix Inequalities in Control
Linear_matrix_inequality
{\displaystyle \lambda ^{*}=1} . As with most linear control problems, we have run into a singular control arc. The adjoint equation is: λ ˙ − δ λ = − ∂
Optimal_rotation_age
Type of Turing machine
In computer science, a linear bounded automaton (abbreviated LBA) is a restricted form of Turing machine that functions as a more accurate model of a real-world
Linear_bounded_automaton
Type of diagram
based on an appropriate simple feedback control structure. They developed a simple (nonlinear and linearized) control design model, incorporating the operational
Fundamental diagram of traffic flow
Fundamental_diagram_of_traffic_flow
LINEAR CONTROL
LINEAR CONTROL
Surname or Lastname
English
English : variant of Lingard.French : occupational name for a maker of or dealer in linen goods, from Old French linge ‘linen (goods)’ (see Linge 1).
Girl/Female
Irish
Eimear possessed the “Six Gifts of Womanhood†– “beauty, a gentle voice, sweet words, wisdom, needlework and chastity!†She was bethrothed to the warrior Cuchulainn (read the legend) when they were children and they loved each other very deeply. But Cuchulainn had “a wandering eye†and Eimear endured this, realizing “everything new is fair,†but when he made love to Fand, wife of the sea god Manannan, Eimear confronted the lovers. After seeing the strength of Fand’s love she offered to withdraw. Touched by this display of unselfishness, Fand left Cuchulainn and returned to the sea. When Cuchulainn died Eimear spoke movingly and lovingly at his graveside.
Male
Yiddish
 Variant spelling of Yiddish Lieber, LIBER means "beloved." Compare with another form of Liber.
Female
English
English name probably derived from Germanic lindi, LINDA means "serpent."Â In some cases, it may have been derived from the Spanish word for "pretty."
Surname or Lastname
English (Devon; of Cornish origin)
English (Devon; of Cornish origin) : topographic name for someone who lived by a menhir, i.e. a tall standing stone erected in prehistoric times (Cornish men ‘stone’ + hir ‘long’).
Male
Scandinavian
Scandinavian form of Old Norse Einarr, EINAR means "lone warrior."
Female
English
Variant spelling of English Linsey, LINSAY means "Lincoln's wetlands."
Boy/Male
Hindu
The Sun
Surname or Lastname
Swedish
Swedish : ornamental name from lind ‘lime tree’ + either the German suffix -er denoting an inhabitant, or the surname suffix -ér, derived from the Latin adjectival ending -er(i)us.English (mainly southeastern) : variant of Lind 2.German : habitational name from any of numerous places called Linden or Lindern, named with German Linden ‘lime trees’.
Male
Greek
(ΑἰνÎας) Variant spelling of Greek AineÃas, AINEAS means "praiseworthy."
Surname or Lastname
English
English : occupational name for a whitewasher, Middle English limer, lymer, an agent derivative of Old English līm ‘lime’.
Female
Scottish
Variant spelling of Scottish Lilias, LILEAS means "lily."
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
Surname or Lastname
English (Cornish)
English (Cornish) : habitational name from a place named with Cornish lan ‘church’. In England this surname is now found chiefly in the southern counties of Wiltshire and Hampshire, and Berkshire; it has no doubt moved there from Cornwall.
Surname or Lastname
English
English : metronymic from Line.
Boy/Male
Irish
Meaning “â€fair-haired,â€â€ the name has been popular since the sixth century when St. Finbar came to an area of Cork that was being tormented by a serpent. The people begged him to do something to help them. One night he went to where the serpent was sleeping and sprinkled it with holy water. The angry serpent tore and devoured the land until she slithered into the sea at Cork Harbor. The track she left behind filled with water and became the River Lee and that’s why St. Finbar is the patron saint of Cork. It is said that the sun didn’t set for two weeks after Finbar’s death.
Surname or Lastname
English
English : habitational name from Lingart, Lancashire, or Lingards Wood in Marsden, West Yorkshire, both named from Old English līn ‘flax’ + garðr ‘enclosure’.
Boy/Male
Hindu
Lingam
Male
English
Irish Anglicized form of Gaelic Fionnbarr, FINBAR means "fair-headed."
Boy/Male
Sikh
Love unending
LINEAR CONTROL
LINEAR CONTROL
Girl/Female
Tamil
Beginning
Girl/Female
Tamil
To pray, White rose
Boy/Male
Australian, Danish, Finnish, German, Latin, Swedish
Beyond Praise; Priceless; Inestimable
Boy/Male
Hindu, Indian
Winner
Boy/Male
Shakespearean
Pericles, Prince of Tyre' Servant to the Pander.
Boy/Male
Muslim
The noble religion
Girl/Female
Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
A New Beginning; Thousand Times; Goddess Laxmi; Intelligent; Fullness of Mantra; The Whole Sum of the Name in the World (Type of the Name in the World 1008)
Boy/Male
Indian, Punjabi, Sikh
Brave; Kind; Winner of Sky
Boy/Male
Hindu, Indian
Love
Boy/Male
Hindu, Indian, Kannada, Marathi, Sanskrit, Telugu
Sky
LINEAR CONTROL
LINEAR CONTROL
LINEAR CONTROL
LINEAR CONTROL
LINEAR CONTROL
a.
Of or pertaining to a line; consisting of lines; in a straight direction; lineal.
a.
Of a linear shape.
n.
A lunar distance.
n.
Made of linen; as, linen cloth; a linen stocking.
a.
Like a line; narrow; of the same breadth throughout, except at the extremities; as, a linear leaf.
a.
In the direction of a line; of or pertaining to a line; measured on, or ascertained by, a line; linear; as, lineal magnitude.
n.
A vessel belonging to a regular line of packets; also, a line-of-battle ship; a ship of the line.
n.
Alt. of Lingam
a.
Formed by right lines; rectilineal; as, a right-lined angle.
n.
One who lines, as, a liner of shoes.
a.
Descending in a direct line from an ancestor; hereditary; derived from ancestors; -- opposed to collateral; as, a lineal descent or a lineal descendant.
v. t.
To mark with a line or lines; to cover with lines; as, to line a copy book.
n.
A dealer in linen; a linen draper.
a.
Linear.
prep. & adv.
Near.
a.
Composed of lines; delineated; as, lineal designs.
a.
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
adv.
In a linear manner; with lines.
v. t.
To convert into vinegar; to make like vinegar; to render sour or sharp.
n.
One who adjusts things to a line or lines or brings them into line.