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Zbl 0956.93022
Benton, Robert E.jun.; Smith, Dirk
Static output feedback stabilization with prescribed degree of stability. (English)
[J] IEEE Trans. Autom. Control 43, No.10, 1493-1496 (1998). ISSN 0018-9286

Summary: The problem of finding a static output feedback matrix is restated. The new formulation replaces the solution to set of inversely coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algorithm is noniterative in linear matrix inequality (LMI) solutions. The algorithm may be used to prescribe a given degree of stability, while keeping the static output feedback gain small.

MSC 2000:: *93B40 Computational methods in systems theory
93D15 Stabilization of systems by feedback
15A39 Linear inequalities

Keywords: noniterative method; static output feedback; algebraic Riccati inequality; Lyapunov inequality; algorithm; linear matrix inequality; degree of stability

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