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Vu, Linh; Chatterjee, D.; Liberzon, D.

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

Automatica 43, No. 4, 639-646 (2007).
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.

Cited in 87 Documents

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
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\textit{L. Vu} et al., Automatica 43, No. 4, 639--646 (2007; Zbl 1261.93049)
Full Text: DOI

References:

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