Robust control for a class of uncertain switched nonlinear systems

This paper addresses the robust control problem of a class of switched nonlinear systems with time-varying parametric uncertainty. By employing a common Lyapunov function and transformation techniques, the robust stabilization and H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance problems of each subsystem are converted into scaled H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control problems. Robust stabilization and performance under arbitrary switching can be then achieved via linear time-invariant control laws. Finally, simulation results demonstrate the effectiveness of the proposed approach.