MPC for LPV Systems Based on Parameter-Dependent Lyapunov Function with Perturbation on Control Input Strategy

  • Pornchai Bumroongsri Chulalongkorn University
  • Soorathep Kheawhom Chulalongkorn University
Keywords: MPC, LPV, parameter-dependent Lyapunov function, perturbation on control input strategy, continuous stirred-tank reactor.

Abstract

In this paper, the model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is proposed. The proposed algorithm consists of two steps. The first step is derived by using parameter-dependent Lyapunov function and the second step is derived by using the perturbation on control input strategy. In order to achieve good control performance, the bounds on the rate of variation of the parameters are taken into account in the controller synthesis. An overall algorithm is proved to guarantee robust stability. The controller design is illustrated with two case studies of continuous stirred-tank reactors. Comparisons with other MPC algorithms for LPV systems have been undertaken. The results show that the proposed algorithm can achieve better control performance.

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Author Biographies

Pornchai Bumroongsri

Department of Chemical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

Soorathep Kheawhom

Department of Chemical Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand

Published In
Vol 16 No 2, Feb 9, 2012
How to Cite
[1]
P. Bumroongsri and S. Kheawhom, “MPC for LPV Systems Based on Parameter-Dependent Lyapunov Function with Perturbation on Control Input Strategy”, Eng. J., vol. 16, no. 2, pp. 61-72, Feb. 2012.