Robust H∞ control for uncertain switched nonlinear singular systems using LMI approach

This paper studies the robust H ∞ control for uncertain switched nonlinear singular systems using the linear matrix inequality (LMI) approach. We investigates the uncertain problems in both the time and the state function. The state function satisfies the Lipschitz condition. The LMI optimization approach and the Lyapunov function are used to solve the H ∞ control problem. The first step finds a suitable switching law guaranteeing that the switched system meets the desired control objective. Then, a state feedback controller is constructed by using the LMI approach. Finally, a simulation example is performed to exhibit the effectiveness of the proposed theory.