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Shen, Jun; Lam, James

Static output-feedback stabilization with optimal \(L_1\)-gain for positive linear systems. (English) Zbl 1329.93113

Automatica 63, 248-253 (2016).
Summary: This paper is concerned with the static output-feedback stabilization with optimal \(L_1\)-gain for positive linear systems. We aim to construct a static output-feedback controller such that the closed-loop system is positive, asymptotically stable and the \(L_1\)-gain from the exogenous input to the regulated output is minimized. We show that when the control input or the measured output is a scalar, this problem can be directly solved via linear programming by adding a one dimensional search. Moreover, it is pointed out that the results can be extended to solve the \(L_\infty\)-optimal controller synthesis problem. Finally, several illustrative examples are given to show the effectiveness of the theoretical results.

Cited in 47 Documents

MSC:

93D15 Stabilization of systems by feedback
93C05 Linear systems in control theory
93D20 Asymptotic stability in control theory
90C05 Linear programming
93B50 Synthesis problems

Keywords:

\(L_1\)-gain; positive systems; static output-feedback stabilization; asymptotic stability
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References:

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