1959IRE Transactions on Automatic ControlRequires access

Application of pole-zero concepts to design of sampled-data systems

D. P. Lindorff

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Abstract

This paper relates the pole-zero configuration of an error-sampled control system to the transient and steady-state response in a form amenable to straightforward synthesis procedures. The approximate transient response, as defined by percent overshoot and rise time, is specified for a generalized quadratic model in terms of readily discernable parameters. The steady-state error coefficients are developed in terms of the closed-loop poles and zeros. Several examples are used to illustrate the procedure and indicate certain practical conclusions.

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What this paper is about

This paper relates the pole-zero configuration of an error-sampled control system to the transient and steady-state response in a form amenable to straightforward synthesis procedures. The approximate transient response, as defined by percent overshoot and rise time, is specified for a generalized quadratic model in terms of readily discernable parameters. The steady-state error coefficients are developed in terms of the closed-loop poles and zeros. Several examples are used to illustrate the procedure and indicate certain practical conclusions.

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Available abstract

This paper relates the pole-zero configuration of an error-sampled control system to the transient and steady-state response in a form amenable to straightforward synthesis procedures. The approximate transient response, as defined by percent overshoot and rise time, is specified for a generalized quadratic model in terms of readily discernable parameters. The steady-state error coefficients are developed in terms of the closed-loop poles and zeros. Several examples are used to illustrate the procedure and indicate certain practical conclusions.

Key concepts: Control theory (sociology), Pole–zero plot, Transient response, Overshoot (microwave communication), Closed-loop pole, Transient (computer programming), Zero (linguistics), Step response

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