Operator-based robust nonlinear control of an uncertain wireless power transfer system using sliding mode technology

Abstract

In this paper, a mathematical modelling of a wireless power transfer system with a buck circuit is presented. Based on this modelling, an operator-based robust nonlinear control design scheme using sliding mode technology is proposed to consider the uncertain coupling coefficient, which results from an inaccurate distance between the transmit coil and receive coil in the wireless power transfer system. The proposed control design scheme has two advantages. First, in order to tackle the uncertain coupling coefficient, operator-based right coprime factorization is applied to guarantee robust stability of the nonlinear system. Sliding mode technology is also adopted to guarantee the tracking performance of the nonlinear system. Finally, simulations and experiments of the wireless power transfer system are tested using the proposed control design scheme. Results of both the simulations and experiments show the effectiveness of the proposed control design scheme.

Parameter optimization of control system design for uncertain wireless power transfer systems using modified genetic algorithm

“…An operator-based robust right coprime factorization approach could be used to guarantee the bounded input and bounded output stability of nonlinear systems [25][26][27][28]. Since the approach is useful when dealing with robust stability of the nonlinear system [29][30][31], it has been adopted in many industrial applications, such as L-shaped arm, Peltier actuated thermal process, and so on [32][33][34].…”