Integral-Input-to-State Stabilization of a Class of Switched Nonlinear Systems
by
Wenxiang Xie
Nanyang Technological University
Coauthors: Zhengguo Li (Nanyang Technological University), Changyun Wen (Nanyang Technological University)

Switched systems, a special class of hybrid systems, consist of a collection of continuous variable dynamic systems together with laws to switch between them. Many real-world systems, e.g., car transmission systems, mobile robots, computer-controlled systems etc., can be modeled by such systems. There has been increasing interest in the stability analysis of switched systems in the past several years, and the analysis methods and tools are very diverse.

Input-to-state stability (ISS) and integral-input-to-state stability (IISS) are also important properties of nonlinear systems besides asymptotical stability. So far, the study of such properties was mostly limited to a single nonlinear system, but it is also of interest to consider them for switched nonlinear systems. Our previous work focused on the analysis and design of switched nonlinear systems on ISS. In this paper, we study the integral-input-to-state stabilization of a class of switched nonlinear systems. Both cases where each subsystem of the considered system is assumed to be and not to be integral-input-to-state stable are considered. Some sufficient conditions are derived for the integral-input-to-state stabilization of the switched nonlinear systems in both cases.

Date received: January 24, 2000