Sliding Mode Tracking Control of Nonlinear Discrete-Time T–S Fuzzy Multi-agent Systems with Time-Delays: A Preview Signal Approach

In this work, the problem of sliding mode tracking control with previewable reference signals is investigated for nonlinear discrete-time T–S fuzzy multi-agent systems (MASs) with time-delays. First, an augmented error system (AES) including the error as well as the previewable reference signal is constructed by using the theory of preview control. Subsequently, a fuzzy sliding mode surface (SMS) is proposed for the AES. Next, a general scheme for stability analysis is given for the sliding motion of the considered system. A sliding mode controller with preview action satisfying the discrete-time reachability condition is designed. At the end, the cases of arithmetic are offered to demonstrate that the suggested control strategy can effectively enhance the tracking performance of the MAS’s output with respect to the reference signal.