| TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM |
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| 引用本文： | 邓子辰,钟万勰. TIME PRECISE INTEGRATION METHOD FOR CONSTRAINED NONLINEAR CONTROL SYSTEM[J]. 应用数学和力学(英文版), 2002, 23(1): 18-25. DOI: 10.1007/BF02437726 |
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| 作者姓名： | 邓子辰 钟万勰 |
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| 作者单位： | 1.Department of Civil Engineering，Northwestern Polytechnical University，Xi'an 710072，P R China; 2.State Key Laboratory for Structural Analysis of Industrial Equipment，Dalian University of Technology，Dalian 116023 |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 9872 0 57，1 973 2 0 2 0 )，HUOYing_dongYouthTeacherFoundation ( 71 0 0 5)，theAeronauticsScienceFoundation (OOB53 0 0 6)，theOpenFoundationofStateKeyLaboratoryofStructuralAnalysisofIndustrialEquipme |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｅｓｔａｂｌｉｓｈｍｅｎｔｏｆｔｈｅｔｉｍｅｐｒｅｃｉｓｅｉｎｔｅｇｒａｔｉｏｎｍｅｔｈｏｄｐｒｏｖｉｄｅｓａｎｅｗｗａｙｆｏｒｔｈｅｃｏｍｐｕｔａｔｉｏｎｏｆｄｙｎａｍｉｃｓｙｓｔｅｍｓ[1].Ｔｈｅａｂｏｖｅｍｅｔｈｏｄ ,ｂａｓｅｄｏｎｔｈｅｓｉｍｕｌａｔｉｏｎｒｅｌａｔｉｏｎｂｅｔｗｅｅｎｃｏｍｐｕｔａｔｉｏｎａｌｓｔｒｕｃｔｕｒａｌｍｅｃｈａｎｉｃｓａｎｄｏｐｔｉｍａｌｃｏｎｔｒｏｌ,ｗａｓｄｅｖｅｌｏｐｅｄｏｎｔｈｅｂａｓｉｓｏｆｔｈｅｓｕｂｓｔｒｕｃｔｕｒａ…
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| 收稿时间： | 2000-03-15 |
Time precise integration method for constrained nonlinear control system |
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| Deng Zi-chen Professor, Doctor,Zhong Wan-xie Professor. Time precise integration method for constrained nonlinear control system[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(1): 18-25. DOI: 10.1007/BF02437726 |
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| Authors: | Deng Zi-chen Professor Doctor Zhong Wan-xie Professor |
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| Affiliation: | 1. 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
2. State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P R China |
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| Abstract: | 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. |
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| Keywords: | nonlinear control system constraint equation time precise integration |
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