Input-to-state stabilization of switched nonlinear systems. (English) Zbl 1010.93089

Xie, Wenxiang; Wen, Changyun; Li, Zhengguo

IEEE Trans. Autom. Control 46, No. 7, 1111-1116 (2001).

The authors investigate the issue of input-to-state stabilization (ISS) of switched nonlinear systems and derive some sufficient conditions to ensure that the whole switched nonlinear system is ISS when each mode is ISS. In general, the switching of the controllers cannot coincide exactly with those of the corresponding modes, since the authors don’t know the initial mode and the subsequent modes of the systems beforehand. If a wrong controller is used over a specified amount of time, the solution to the system might escape to infinity before a correct controller is switched into action. In this case, the authors discuss a model-based identification scheme for the identification of the system modes such that the corresponding controllers can be determined.

Reviewer: Seenith Sivasundaram (Daytona Beach)

MSC:

93D25	Input-output approaches in control theory
93C10	Nonlinear systems in control theory
93B12	Variable structure systems
93B30	System identification

Keywords:

input-to state stabilization; switched nonlinear systems; model-based identification; system modes