Dynamic Event-Triggered Control for Semi-Markov Singularly Perturbed Systems With Generally Transition Rates

This work deals with the finite-time control issue for a kind of semi-Markov switching systems in the presence of singular perturbation and general transition rates. The mode switching behaviors are determined by a semi-Markov process (SMP), and the variations of the SMP are revealed by a deterministic switching signal. Furthermore, by analyzing conservatism, a generalized framework of uncertain transition rates is established. For the sake of decreasing triggering rates and maintaining control performance, on the basis of the quantization range of the dynamic quantizer, a novel triggering condition is efficiently constructed. As such, sufficient conditions are attained to maintain the prescribed performance within the finite-time interval. Eventually, two numerical simulations are addressed to reflect the solvability and practicability of the achieved control strategy.