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10 relations: Closed-loop pole, Controllability, Eigenvalues and eigenvectors, Feedback, Linear–quadratic regulator, Plant (control theory), Pole splitting, S-plane, State-space representation, Step response.
Closed-loop pole
Closed-loop poles are the positions of the poles (or eigenvalues) of a closed-loop transfer function in the s-plane.
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Controllability
Controllability is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control.
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Feedback
Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause-and-effect that forms a circuit or loop.
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Linear–quadratic regulator
The theory of optimal control is concerned with operating a dynamic system at minimum cost.
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Plant (control theory)
A plant in control theory is the combination of process and actuator.
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Pole splitting
Pole splitting is a phenomenon exploited in some forms of frequency compensation used in an electronic amplifier.
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S-plane
In mathematics and engineering, the s-plane is the complex plane on which Laplace transforms are graphed.
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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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Step response
The step response of a system in a given initial state consists of the time evolution of its outputs when its control inputs are Heaviside step functions.
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