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Bernussou, J.; Peres, P. L. D.; Geromel, J. C.

A linear programming oriented procedure for quadratic stabilization of uncertain systems. (English) Zbl 0678.93042

Syst. Control Lett. 13, No. 1, 65-72 (1989).
Summary: This paper gives a new necessary and sufficient condition for linear quadratic stabilization of linear uncertain systems when both the dynamic as well as the control matrix are subject to uncertainty. A constructive numerical procedure is defined to check the condition and it furthermore provides a stabilizing linear feedback gain. Some experiments are presented.

Cited in 54 Documents

MSC:

93D15 Stabilization of systems by feedback
93B35 Sensitivity (robustness)
90C05 Linear programming
65K05 Numerical mathematical programming methods
93C05 Linear systems in control theory

Keywords:

linear quadratic stabilization; linear uncertain systems; uncertainty
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\textit{J. Bernussou} et al., Syst. Control Lett. 13, No. 1, 65--72 (1989; Zbl 0678.93042)
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References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.