Input-to-state stability of switched systems and switching adaptive control

In this paper we prove that a switched nonlinear system has several useful 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. Key words: Switched systems, nonlinear systems, supervisory control, adaptive control, input-to-state stability.

• Type: Journal
• Year: 2007
• Where: AUTOMATICA
• Authors: Linh Vu, Debasish Chatterjee, Daniel Liberzon
• Keywords: AUTOMATICA 2007, Average Dwell-time Switching, Supervisory Control, Uncertain Nonlinear Systems