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论文类型：期刊论文

第一作者：Peng, Haijun

通讯作者：Peng, HJ (reprint author), Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dept Engn Mech, Dalian 116024, Liaoning, Peoples R China.

合写作者：Wang, Xinwei,Shi, Boyang,Zhang, Sheng,Chen, Biaosong

发表时间：2018-03-01

发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录刊物：SCIE、EI

卷号：56

页面范围：77-92

ISSN号：1007-5704

关键字：Constrained chaotic system; Symplectic pseudospectral method; Nonlinear optimal control; Unstable equilibrium point; Unstable periodic orbit

摘要：The problem of controlling chaotic systems has drawn much attention in the last two decades. However, the controlled system may be subjected to complicated constraints and few researches on controlling chaos take constraints into consideration. Therefore, the stabilization of constrained chaotic system is solved under the frame of nonlinear optimal control in this paper. A symplectic pseudospectral method based on qusilinearizaiton techniques and the parametric variational principle is developed to solve constrained nonlinear optimal control problems with arbitrary Lagrange-type cost functional. At the beginning of the proposed method, the original nonlinear optimal control problem is converted into a series of linear-quadratic constrained optimal control problems. Then each of the converted linear quadratic problems is transformed into a standard linear complementarity problem. The proposed method is successfully applied to stabilizing constrained chaotic systems around an unstable equilibrium point or an unstable periodic orbit. Numerical simulations demonstrate that the developed method is effective and efficient, and constraints are strictly satisfied. (C) 2017 Elsevier B.V. All rights reserved.