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MPC for LPV Systems Based on Parameter-Dependent Lyapunov Function with Perturbation on Control Input Strategy
Author(s) -
Pornchai Bumroongsri,
Soorathep Kheawhom
Publication year - 2012
Publication title -
engineering journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 20
ISSN - 0125-8281
DOI - 10.4186/ej.2012.16.2.61
Subject(s) - control theory (sociology) , lyapunov function , perturbation (astronomy) , model predictive control , mathematics , computer science , control (management) , physics , nonlinear system , artificial intelligence , quantum mechanics
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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