Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17518
Title: Construction of suboptimal feedback control for chaotic systems using B-splines with optimally chosen knot points
Authors: Lee, HWJ 
Teo, KL
Lee, WR
Wang, S
Issue Date: 2001
Publisher: World Scientific
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2001, v. 11, no. 9, p. 2375-2387 How to cite?
Journal: International journal of bifurcation and chaos in applied sciences and engineering 
Abstract: In this paper we consider a class of optimal control problem involving a chaotic system, where all admissible controls are required to satisfy small boundedness constraints. A numerical approach is developed to seek for an optimal feedback control for the optimal control problem. In this approach, the state space is partitioned into subregions, and the controller is approximated by a linear combination of a modified third order B-spline basis functions. The partition points are also taken as decision variables in this formulation. An algorithm based on this approach is proposed. To show the effectiveness of the proposed method, a control problem involving the Lorenz system is solved by the proposed approach. The numerical results demonstrate that the method is efficient in the construction of a robust, near-optimal control.
URI: http://hdl.handle.net/10397/17518
ISSN: 0218-1274
EISSN: 1793-6551
DOI: 10.1142/S0218127401003498
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