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Transient response control via characteristic ratio assignment | IEEE Conference Publication | IEEE Xplore

Transient response control via characteristic ratio assignment


Abstract:

This paper develops an approach to directly control the transient response of linear time-invariant systems. We begin by considering all pole transfer functions of order ...Show More

Abstract:

This paper develops an approach to directly control the transient response of linear time-invariant systems. We begin by considering all pole transfer functions of order n for which a set of parameters /spl alpha//sub i/, i=1, .... n are introduced, called the characteristic ratios, with /spl alpha//sub 1/=: /spl alpha/ being the principal characteristic ratio. We also introduce a generalized time constant /spl tau/ for such systems. We prove that the principal characteristic ratio and generalized time constant, namely the two parameters /spl alpha/ and /spl tau/ can be used to independently characterize or control the system overshoot to a step input and the speed of response, respectively. These formulas are used to develop a procedure to design a state feedback plus feedforward controller for a minimum phase plant that provides "good" transient response, namely one with specified overshoot and specified rise time or speed of response.
Date of Conference: 08-10 May 2002
Date Added to IEEE Xplore: 07 November 2002
Print ISBN:0-7803-7298-0
Print ISSN: 0743-1619
Conference Location: Anchorage, AK, USA

References

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