Kautz filters based model predictive control for resonating systems

Abstract

Model predictive control (MPC) of a special class of systems called resonating system is presented in this paper using the recursive Kautz model. Kautz functions are known to have the ability to describe resonating systems. They are formulated in a recursive fashion in order to compute the future incremental control effort of MPC. Use of Kautz functions in the optimization procedure leads to parsimonious representation. The efficacy of the proposed Kautz MPC is tested on two case studies, viz. linear highly oscillatory mechanical system and mildly nonlinear magnetic ball suspension system. Performance of Kautz MPC is compared against already published Laguerre MPC. Stability of the Kautz MPC is established through Lyapunov criteria.