Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay

Abstract

In this paper, the sliding mode control of nonlinear singular stochastic uncertain semi-Markov multi-agent systems with time-varying delay are studied. Firstly, a new integral sliding surface function is designed. Secondly, a new sufficient condition in the form of linear matrix inequality is derived to guarantee the stochastic admissibility by using the semi-Markov–Lyapunov function. Thirdly, a sliding mode control law can be synthesised to ensure the reachability of the predefined sliding surface. Finally, an example is given to demonstrate the effectiveness of the result.