Stability analysis of disturbed switched systems

This paper offers a control redesign method for a class of nonlinear uncertain passive switched systems where the passivity is basic property in design controllers for nominal switched systems. The design is based on keeping passivity by using an additional term in control signals so that the passivity for previous control signal satisfied and so stability has been kept. Our model is affine respect to input signal and the uncertainty is considered in input channel. The uncertainty is norm bounded and design is done for 2-norm and ∞-norm. each norm results different form of additional input terms to compensate the effect of uncertainty. We can see chattering in input signals. The proposed method is applied to a nonlinear disturbed switched system and shown that in presence of uncertainty the switched system will be unstable but using our procedure result stability and the state vector converges to the origin in presence of uncertainty.