Scale-Independent Hysteresis Switching

— 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. Illustrative examples are included.

• Type: Conference
• Year: 1999
• Where: HYBRID
• Authors: João P. Hespanha, A. Stephen Morse
• Keywords: Average Dwell-time Switching, Control Systems, HYBRID 1999, Switched Linear Systems, Uncertain Nonlinear Systems