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Passivity-based control for Markovian jump systems via retarded output feedback. (English) Zbl 1242.93040

Summary: This paper is concerned with the problem of passivity-based control for Markovian jump systems via retarded output feedback controllers. A delay-dependent passivity criterion is obtained in terms of linear matrix inequalities. Based on this, a sufficient condition is proposed for the design of a retarded output feedback controller which ensures that the closed-loop system is passive. By using the sequential linear programming matrix method, a desired retarded output feedback controller can be constructed. Numerical examples are provided to demonstrate the advantage and effectiveness of the proposed method.

MSC:

93B35 Sensitivity (robustness)
60J75 Jump processes (MSC2010)
93B52 Feedback control
90C05 Linear programming
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