INTEGRATED DESIGN FOR ROBUST STABILIZATION OF UNCERTAIN SWITCHED NONLINEAR SYSTEMS

Abstract

An integrated design of switching laws and feedback controllers for uncertain switched nonlinear control-affine systems with an arbitrary number of subsystems is developed. Sufficient conditions for the existence of globally asymptotically stabilizing state feedback laws are derived using the control Lyapunov function approach. Additionally, an explicit rule for constructing switching laws and formula for synthesizing feedback controllers are presented. An illustrative example confirmed the feasibility of the theoretical results.