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.

Automated summary

This work focuses on the finite-time control problem of semi-Markov switching systems with singular perturbation and general transition rates. The mode switching is determined by a semi-Markov process (SMP), and the variations of the SMP are revealed by a deterministic switching signal. A generalized framework of uncertain transition rates is established by analyzing conservatism. A novel triggering condition is efficiently constructed based on the quantization range of the dynamic quantizer to decrease triggering rates and maintain control performance. Sufficient conditions are attained to maintain the prescribed performance within the finite-time interval, and numerical simulations demonstrate the solvability and practicability of the achieved control strategy.