Event‐Triggered Preview Control for Continuous‐Time Singular Systems With Time‐Varying Delay via a Sliding Mode Approach

ABSTRACT This work investigates the problem of preview tracking sliding mode control (SMC) under event‐triggered strategy (ETS) for continuous‐time singular systems (SSs) with time‐varying delay. Due to the existence of a singular derivative matrix and time‐varying delay in SSs, the existing preview control method can not be directly applied. Regarding this point, a new singular augmented system (AS) is designed. Therefore, the tracking issue is converted into the admissibility of singular ASs. An ETS based on periodic sampling is presented, which saves resources and avoids the Zeno phenomenon. An integral sliding mode surface (SMS) is designed. Sufficient conditions for admissibility are presented for singular ASs with performance. Then, a proper preview SMC law under ETS is synthesized, by which the reachability of the SMS can be assured. Lastly, the effectiveness of the theoretical results is verified by two simulation examples.