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**Input-to-state stability of switched systems and switching adaptive control.**
*(English)*
Zbl 1261.93049

Summary: In this paper we prove that a switched nonlinear system has several useful input-to-state stable (ISS)-type properties under average dwell-time switching signals if each constituent dynamical system is ISS. This extends available results for switched linear systems. We apply our result to stabilization of uncertain nonlinear systems via switching supervisory control, and show that the plant states can be kept bounded in the presence of bounded disturbances when the candidate controllers provide ISS properties with respect to the estimation errors. Detailed illustrative examples are included.

### MSC:

93D25 | Input-output approaches in control theory |

93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |

93C40 | Adaptive control/observation systems |

93C10 | Nonlinear systems in control theory |

93A13 | Hierarchical systems |

### Keywords:

switched systems; nonlinear systems; supervisory control; adaptive control; input-to-state stability
Full Text:
DOI

### References:

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