Controller Design for Switched Systems with Non-symmetrical Input Saturation

In this paper, a state feedback controller is designed for switched systems with non-symmetrical input saturation based on two classes of parametric Riccati equation (PRE). Through appropriate mathematical transformation, we transform a switched system with non-symmetrical input saturation to a switched system with multiple equilibrium points and symmetrical input saturation. The exponential stability of the switched system is investigated using the good properties of PRE. The main contributions of this paper include (a) solving the non-symmetrical input saturation control problem for the switched system; (b) designing a controller to guarantee the exponential stability of the switched system with the subsystems having the open-loop critical stable poles; (c) the designed controller can be easily computed by solving the PRE. The controller is easy to implement in practical applications. A numerical example is provided to illustrate the effectiveness and potential of the proposed method.