Dynamic Composite Nonlinear Output Feedback Control of ICPT System: When Markov Jumping Systems Meet Event-Triggering Mechanism

Abstract

This paper investigates the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula> dynamic composite nonlinear output feedback control of the inductive coupled power transfer (ICPT) system with load resistance variation, coil structural perturbation, and energy-bounded external disturbance under event-triggering mechanism. A small-signal model is first developed to characterize the dynamic behavior of the ICPT system under S/S resonance, wherein the system mismatch is considered as a type of stochastic process and described as a Markov jump model. In view of the difficulties in measuring system state, poor transient performance, limited controller computation and communication capabilities, an event-triggered dynamic composite nonlinear output feedback controller is designed, and sufficient conditions are presented to guarantee the mean square stability and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty }}$ </tex-math></inline-formula> performance of the ICPT system. The controller gains can be obtained by solving a set of linear matrix inequalities. Finally, the effectiveness and reliability of the proposed control method is verified through simulation examples.