Switching signal design for asymptotic stability of uncertain multiple equilibrium switched systems with actuator saturation

Summary This paper addresses the problem of robust control for a class of multiple equilibrium switched systems with actuator saturation and parameter uncertainties. The parameter uncertainties are described in norm-bounded form. By combining the parametric Lyapunov equation approach and the gain-scheduling technique, stabilization conditions are established in terms of linear matrix inequalities. State-feedback controllers can be designed to guarantee the robust stability and performance of the closed-loop system in the presence of parameter uncertainties and actuator saturation. The proposed method is to increase the convergence rate during the convergence of the states. Numerical examples and simulations are worked out to illustrate the feasibility of the proposed results.