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| Research on the time precise computation of nonlinear optimal control system |
| Revised:December 10, 1999 |
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| DOI：10.7511/jslx20022039 |
| KeyWord:nonlinear control system,Hamilton system,time precise integration |
| Deng Zichen 1 2 \ Zhong Wanxie 2 |
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| Abstract: |
| For the 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 vectors), 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 in this paper can be described from a new view, and its 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 of this paper. |
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