Sliding mode control design of interconnected systems with time delay

This paper addresses the problem of dynamic integral sliding mode control of interconnected systems with time delay. Difference from the previous works, to fully adopt the characteristics of both the system state and control input, an interesting type of integral sliding surface is defined. It should be pointed out that the dynamic integral sliding mode control is designed to assure the system trajectories onto the predefined integral sliding surface despite disturbance. Linear matrix inequality is used to obtain the stability conditions to ensure sliding mode dynamics with H
∞
performance.