Incremental H∞ control for switched nonlinear systems.

In this paper, we investigate the incremental H ∞ control for switched nonlinear systems by using a state-dependent switching law and an average dwell time approach incorporated with multiple Lyapunov functions. Even if all subsystems are unstable, a sufficient condition for the incremental H ∞ control problem to be solvable is derived based on the design state-dependent switching law. Furthermore, when all subsystems are incrementally globally asymptotically stable (IGAS), the switched nonlinear system under the average dwell time scheme is IGAS and possesses a weighted incremental L 2 -gain. Then, we extend this result to the case where both IGAS subsystems and unstable subsystems coexist, if the activation time ratio between IGAS subsystems and unstable ones is not less than a specified constant, sufficient conditions for the weighted incremental H ∞ performance of the switched system are guaranteed. Two numerical examples are given to illustrate the validity of the proposed approach. [ABSTRACT FROM AUTHOR]