Stabilization and L2-gain analysis for a class of cascade switched nonlinear systems: An average dwell-time method

This paper is concerned with the problem of stabilization and L2-gain analysis for a class of cascade switched nonlinear systems by using the average dwell-time method. First, when all subsystems are stabilizable, we design a state feedback controller and an average dwell-time scheme, which guarantee that the corresponding closed-loop system is globally asymptotically stable and has a weighted L2-gain. Then, we extend the result to the case where not all subsystems are stabilizable, under the condition that the activation time ratio between stabilizable subsystems and unstabilizable ones is not less than a specified constant, we also derive sufficient conditions for the stabilization and weighted L2-gain property. Finally, an example is given to illustrate the effectiveness of our results.