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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 |

### Keywords:

passivity-based control; retarded output feedback; sequential linear programming matrix method; delay-dependent criterion
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\textit{H. Shen} et al., Circuits Syst. Signal Process. 31, No. 1, 189--202 (2012; Zbl 1242.93040)

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