ABSTRACT
This chapter endeavours to investigate the SMC issue of the networked singularly perturbed systems (SPSs) under slow sampling. For the energy saving purpose in network communication, a dynamic event-triggering mechanism is introduced to SMC design. By considering the structure characteristics of the controlled system, a novel sliding function is constructed with taking the singular perturbed matrix Eε into account properly. With the aid of appropriate Lyapunov functional, the sufficient conditions are derived to ensure the asymptotic stability of the sliding mode dynamics and the reachability of the specified sliding surface. Besides, it is shown that the quasi-sliding motion is dependent on the dynamic event-triggering parameters and its bound converges to a constant. Moreover, a convex optimization algorithm is formulated to solve the dynamic event-triggering SMC law with searching the upper bound of the singularly perturbed parameter. Finally, an example is provided to illustrate the effectiveness of the proposed results.
