2011•Optoelectronics Instrumentation and Data ProcessingRequires access

Determining direct measures of performance based on the location of zeros and pole of the transfer function

S. V. Efimov, Maxim Pushkarev

Abstract

An analysis is made of the effect of zeros and poles of a closed-loop automatic control system on its direct measures of performance: overcontrol and control time. The necessity of determining the dominant poles in the root-locus plane is shown. A criterion for the ɛ -dominance of the components of the transient function of automatic control system is presented. A method for calculating direct measures of performance based on the location of zeros and poles of the system is developed. Numerical examples are considered.

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Key concepts: Root locus, Transfer function, Closed-loop pole, Pole–zero plot, Control theory (sociology), Complex plane, Mathematics, Function (biology)