An optimal control design for bidirectional inductive power transfer system using dynamics identification

Abstract

In this article, we address the tracking control problem for the bidirectional inductive power transfer systems (BIPTS) in the view of optimal performance. To achieve the optimal destination with respect to a quadratic value function, an identified linear model for the BIPTS is first developed, and it is proved to be convergent to the true dynamic model when the persistent excitation condition is satisfied. And then, based on the identified model, the desired system states and control inputs are derived according to the reference transferring power, and be utilized as the feedback signals and feedforward compensation, respectively, for the optimal controller. A hybrid Lyapunov function is developed to guarantee the closed-loop stability and the asymptotically tracking convergence. A numerical simulation is carried out to illustrate the satisfactory control performance.