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Analytic approach to quadratic control with prescribed relative stability. (English) Zbl 0659.93024

A new approach to quadratic control with prescribed relative stability is presented using a discrete-type Riccati equation. The algorithm for determining the feedback matrix is an analytic design procedure. Quadratic weights, corresponding to such a feedback control, are explicitly and simply obtained by derived formulae. Examples are used to illustrate the efficiency of the proposed approach.

MSC:

93B50 Synthesis problems
93C05 Linear systems in control theory
15A24 Matrix equations and identities
93B55 Pole and zero placement problems
93D15 Stabilization of systems by feedback
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References:

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