On exponential stabilization for a class of neutral-type systems with parameter uncertainties: An integral sliding mode approach

This paper is focused on integral sliding mode control (ISMC) for a class of parameter uncertain neutral-type systems with time-varying delays (NTSTD). An integral sliding surface functional is firstly constructed for the NTSTD. Then, a delay-dependent robust stability criterion is established for all admissible uncertainties, which can guarantee the sliding mode dynamic system to be robustly exponentially stable under a certain decay rate. In addition, by solving the generalized eigenvalue problem (GEVP) presented in the subsequent work, the global maximal value of the decay rate as well as the condition of exponential stability for the sliding mode system are derived. Furthermore, a sliding mode control (SMC) law is then synthesised to ensure the stability of the closed-loop system, and the proposed SMC law can drive the state of controlled dynamic system into the predefined sliding surface in finite time. Finally, a numerical example is provided to demonstrate the effectiveness of the obtained results.