L2-gain Analysis and Control Synthesis for a Class of Uncertain Switched Nonlinear Systems

This paper addresses the issue of L2-gain analysis and control synthesis for a class of uncertain switched nonlinear systems using the average dwell-time method incorporated with piecewise Lyapunov functions. Sufficient conditions for a weighted L2-gain and the stabilization are derived. A switched state feedback controller is designed to achieve exponential stability of the closed-loop system with the weighted L2-gain property.