TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM

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TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM

For the constrained nonlinear optimal control problem, by taking the first term of Taylor series, the dynamic equation is linearized. Thus by introducing into the dual variable (Lagrange multiplier vector), the dynamic equation can be transformed into Hamilton system from Lagrange system on the basis of the original variable. Under the whole state, the problem discussed can be described from a new view, and the equation can be precisely solved by the time precise integration method established in linear dynamic system. A numerical example shows the effectiveness of the method.水利论文tS9Z `(xh

作 者: 邓子辰 钟万勰  
作者单位:邓子辰(Department of Civil Engineering, Northwestern Polytechnical University,Xi'an 710072, P R China;State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P R China)水利论文^ ]X(_/bX
钟万勰(State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P R China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2002 23(1) 
分类号:O231.2 
关键词:nonlinear control system   constraint equation   time precise integration  
机标关键词:NONLINEAR CONTROL SYSTEMdynamic equationprecise integration methodlinear dynamic systemoptimal controlHamilton systemTaylor series 
基金项目:国家自然科学基金,HUO Ying-dong Youth Teacher Foundation,中国航空科学基金,the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment 
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