Energy-Based Control for Switched Uncertain Port-Controlled Hamiltonian Systems With Its Application to RLC Circuit Systems

Based on energy-based multiple Lyapunov functions approaches, this article concerns with stabilization and $\mathcal {H}_{\infty }$ control for switched uncertain port-controlled Hamiltonian (SUPCH) systems with mode-dependent average dwell time (MDADT) switching. To better deal with the uncertainties of each mode, an improved MDADT scheme along with corresponding constraint conditions is established, and the criterion on globally uniformly asymptotical stability is presented for SUPCH systems in unforced form under the new MDADT mechanism. Subsequently, based on mode-dependent state feedback (MDSF) strategies, the sufficient conditions are derived for stabilization of SUPCH systems. Furthermore, to solve $\mathcal {H}_{\infty }$ control problem for SUPCH systems with disturbances, a set of MDSF controllers are constructed, and the $\mathcal {H}_{\infty }$ control criterion is obtained by the improved MDADT scheme. Finally, as an application, some simulations on a switched nonlinear RLC circuit system with structural uncertainties are carried out by the proposed control strategies.