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Linear parameter-varying control

Index Linear parameter-varying control

Linear parameter-varying control (LPV control) deals with the control of linear parameter-varying systems, a class of nonlinear systems which can be modelled as parametrized linear systems whose parameters change with their state. [1]

35 relations: Angle of attack, Artificial neural network, Autonomy, Bandwidth (signal processing), Causality, Center of mass, Control engineering, Control system, Convex function, Differential equation, Dynamic pressure, Dynamical system, Flight envelope, Fuzzy logic, Interpolation, Linear fractional transformation, Linear time-invariant theory, Linearization, Lyapunov function, Mach number, Mathematical model, Multivariable calculus, Nonlinear system, Observable, Parameter, Robust control, Schedule, Sensor, Small-gain theorem, State space, State variable, State-space representation, Time-variant system, Variable (mathematics), Vector (mathematics and physics).

Angle of attack

In fluid dynamics, angle of attack (AOA, or \alpha (Greek letter alpha)) is the angle between a reference line on a body (often the chord line of an airfoil) and the vector representing the relative motion between the body and the fluid through which it is moving.

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Artificial neural network

Artificial neural networks (ANNs) or connectionist systems are computing systems vaguely inspired by the biological neural networks that constitute animal brains.

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Autonomy

In development or moral, political, and bioethical philosophy, autonomy is the capacity to make an informed, un-coerced decision.

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Bandwidth (signal processing)

Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies.

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Causality

Causality (also referred to as causation, or cause and effect) is what connects one process (the cause) with another process or state (the effect), where the first is partly responsible for the second, and the second is partly dependent on the first.

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Center of mass

In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero, or the point where if a force is applied it moves in the direction of the force without rotating.

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Control engineering

Control engineering or control systems engineering is an engineering discipline that applies automatic control theory to design systems with desired behaviors in control environments.

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Control system

A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops.

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Convex function

In mathematics, a real-valued function defined on an ''n''-dimensional interval is called convex (or convex downward or concave upward) if the line segment between any two points on the graph of the function lies above or on the graph, in a Euclidean space (or more generally a vector space) of at least two dimensions.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Dynamic pressure

Dynamic pressure (sometimes called velocity pressure) is the increase in a moving fluid's pressure over its static value due to motion.

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Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

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Flight envelope

In aerodynamics, the flight envelope, service envelope, or performance envelope of an aircraft or interplanetary spacecraft refers to the capabilities of a design in terms of airspeed and load factor or atmospheric density, often simplified to altitude for Earth-borne aircraft.

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Fuzzy logic

Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1.

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Interpolation

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

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Linear fractional transformation

In mathematics, the phrase linear fractional transformation usually refers to a Möbius transformation, which is a homography on the complex projective line P(C) where C is the field of complex numbers.

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Linear time-invariant theory

Linear time-invariant theory, commonly known as LTI system theory, comes from applied mathematics and has direct applications in NMR spectroscopy, seismology, circuits, signal processing, control theory, and other technical areas.

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Linearization

In mathematics, linearization is finding the linear approximation to a function at a given point.

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Lyapunov function

In the theory of ordinary differential equations (ODEs), Lyapunov functions are scalar functions that may be used to prove the stability of an equilibrium of an ODE.

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Mach number

In fluid dynamics, the Mach number (M or Ma) is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

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Mathematical model

A mathematical model is a description of a system using mathematical concepts and language.

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Multivariable calculus

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables, rather than just one.

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Nonlinear system

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.

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Observable

In physics, an observable is a dynamic variable that can be measured.

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Parameter

A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.

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Robust control

In control theory, robust control is an approach to controller design that explicitly deals with uncertainty.

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Schedule

A schedule or a timetable, as a basic time-management tool, consists of a list of times at which possible tasks, events, or actions are intended to take place, or of a sequence of events in the chronological order in which such things are intended to take place.

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Sensor

In the broadest definition, a sensor is a device, module, or subsystem whose purpose is to detect events or changes in its environment and send the information to other electronics, frequently a computer processor.

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Small-gain theorem

In nonlinear systems, the formalism of input-output stability is an important tool in studying the stability of interconnected systems since the gain of a system directly relates to how the norm of a signal increases or decreases as it passes through the system.

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State space

In the theory of discrete dynamical systems, a state space is the set of all possible configurations of a system.

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State variable

A state variable is one of the set of variables that are used to describe the mathematical "state" of a dynamical system.

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State-space representation

In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations.

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Time-variant system

A time-variant system is a system that is not time invariant (TIV).

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Variable (mathematics)

In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

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Vector (mathematics and physics)

When used without any further description, vector usually refers either to.

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Redirects here:

Linear parametric varying control, Lpv control.

References

[1] https://en.wikipedia.org/wiki/Linear_parameter-varying_control

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