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Optimized‐Based Stabilization of Constrained Nonlinear Systems: A Receding Horizon Approach
Author(s) -
He Defeng,
Yu Li,
Song Xiulan
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.865
Subject(s) - control theory (sociology) , nonlinear system , controller (irrigation) , horizon , lyapunov function , inverse , mathematics , closed loop , computer science , mathematical optimization , control (management) , engineering , control engineering , physics , artificial intelligence , geometry , quantum mechanics , agronomy , biology
The problem of stabilizing constrained nonlinear systems while optimizing performance is investigated in this paper. The tool of weak control Lyapunov functions ( WCLFs ) is introduced to construct a tuning S ontag's controller where some adjustable parameters are optimized with respect to given performances in a receding horizon fashion. Two algorithms are presented and the corresponding closed‐loop systems with input constraints are proven to be stable in some regions by using the L a S alle's theorem and the properties of WCLFs . Moreover, the inverse optimality result of the controller is achieved. Finally, two open‐loop unstable examples are used to illustrate the performance and effectiveness of the results obtained here.