Robust H-infinity control for a class of neutral-type systems via sliding mode observer

In this paper, the problem of observer-based H-infinity integral sliding mode control (ISMC) is investigated for a class of uncertain neutral-type systems with time delay (NTSTD). An ISMC strategy is put forward based on the sliding mode observer. A new sufficient condition of robust asymptotic stability for the overall systems composed of the error system and sliding mode dynamics with disturbance attenuation level is derived via linear matrix inequality (LMI). Then, a SMC law is designed such that the reachability of the sliding surface defined in the state-estimate space can be guaranteed. Finally, a simulation example is presented to demonstrate the feasibility of the obtained result.