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Optimal state feedback control with a prescribed contraction property

✍ Scribed by Anders Malmgren; Kjell Nordström

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
640 KB
Volume
30
Category
Article
ISSN
0005-1098

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✦ Synopsis

Discrete-time systems; state feedback; time-domain analysis; time-varying systems.

Abalraet--In this paper, we consider time-varying state feedback control of single-input linear time-invariant discretetime systems. The approach that we propose is based on a contraction property that was introduced in a previous paper. All time-varying controllers that yield the contraction propert.y are derived. It is seen that the state feedback vector becomes m-periodic, where the integer m is a user parameter related to the obtained contraction property. From the class of control laws that yield the contraction property, we determine the controller which minimizes a linear quadratic criterion. Results that are useful for tuning one of the user parameters are presented. Numerical examples which compare the methods are also included. *

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