1971Electronics LettersRequires access

Evaluation of transient response using state variables

W.E. Thomson

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Abstract

A certain equivalent state-variable representation of a system defined by a rational transfer function, and stimulated by an impulse function, leads to equations in which not only the impulse response but also the step response and, if need be, the ramp response, are simply derived from the state variables.

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A certain equivalent state-variable representation of a system defined by a rational transfer function, and stimulated by an impulse function, leads to equations in which not only the impulse response but also the step response and, if need be, the ramp response, are simply derived from the state variables.

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Available abstract

A certain equivalent state-variable representation of a system defined by a rational transfer function, and stimulated by an impulse function, leads to equations in which not only the impulse response but also the step response and, if need be, the ramp response, are simply derived from the state variables.

Key concepts: Impulse response, Transient response, Transfer function, State variable, Impulse invariance, Control theory (sociology), Step response, Frequency response

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