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 (Langrange 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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References
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Contributed ZHONG Wan-xie
Foundation item: the National Natural Science Foundation of China (19872057, 19732020), HUO Ying-dong Youth Teacher Foundation (71005), the Aeronautics Science Foundation (OOB53006), the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment.
Biographies: DENG Zi-chen (1964-) ZHONG Wan-xie (1934-)
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Zi-chen, D., Wan-xie, Z. Time precise integration method for constrained nonlinear control system. Appl Math Mech 23, 18–25 (2002). https://doi.org/10.1007/BF02437726
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DOI: https://doi.org/10.1007/BF02437726