International Journal of Control, Vol.93, No.10, 2457-2468, 2020
Stability analysis and robust stabilisation for a class of switched nonlinear systems with input delay
This paper investigates stability analysis and robust model reference tracking control problem for a class of switched nonlinear systems with input delay and disturbance. Using a new Lyapunov-Krasovskii functional, free-weighting matrices and average dwell-time technique, new input-to-state stability conditions are derived in terms of linear matrix inequalities under a certain bound of delay. Then, based on the proposed Lyapunov-Krasovskii functional, robust model reference tracking control problem is studied. Finally, a kind of state feedback control law is proposed to guarantee robust model reference tracking performance. In addition, some examples are given to illustrate the effectiveness and feasibility of the proposed method.