An Efficient Formulation of Off-line Model Predictive Control for Nonlinear Systems Using Polyhedral Invariant Sets
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Creator Pornchai Bumroongsri
Title An Efficient Formulation of Off-line Model Predictive Control for Nonlinear Systems Using Polyhedral Invariant Sets
Contributor Pornpun Arundechachai, Soorathep Kheawhom
Publisher TUENGR Group
Publication Year 2557
Journal Title International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
Journal Vol. 5
Journal No. 1
Page no. 25-37
Keyword control law, real-time interpolation, scheduling parameter, MPC algorithm.
URL Website http://tuengr.com
Website title International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies
ISSN 2228-9860
Abstract In this research, an efficient formulation of off-line model predictive control for nonlinear systems is presented. The nonlinear systems are reformulated as linear parameter varying systems so their complexity is reduced without any loss of generality. The on-line computational burdens are decreased by pre-computing off-line the sequences of explicit control laws corresponding to the sequences of polyhedral invariant sets. At each sampling time, the current state and the scheduling parameter are measured. The real-time control law is then calculated by linear interpolation between the pre-computed control laws. The results indicate that the proposed algorithm can achieve better control performance compared to the previously developed off-line robust model predictive control algorithm because the scheduling parameter is incorporated into the controller design.
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