Nonquadratic stabilization of switching TS systems

Abstract : In this paper we consider stabilization of switching nonlinear systems represented by TS models. To develop the conditions we use two different switching Lyapunov functions. For each Lyapunov function a set of conditions is developed. The conditions are formulated as LMIs and relaxed using delays in the controller and the Lyapunov function. The application of the conditions is illustrated on numerical examples.