Smc for discrete delayed semi-Markov switching systems

This work studies the sliding mode control (SMC) of semi-Markov switching systems (S-MSSs) with time delay in discrete domain. The time delay is first considered in studying discrete S-MSSs with SMC strategy. Owing to their excellent engineering background and advantages in complex system modeling, S-MSSs have a wide range of application prospects. By virtue of the delay-dependent Lyapunov-Krasovskill functional and the probability form of semi-Markov switching signal, a novel convex mean-square stability of the underlying system is provided through a new set of less conservative linear matrix inequalities and suitable semi-Markov conditions. Furthermore, an appropriate delayed SMC mechanism is built to drive the states onto the quasi-sliding mode and remain there for all subsequent time. Finally, an electronic throttle model is presented to validate the availability of the proposed method.