頁籤選單縮合
題名 | Sensitivity Approach to Optimal Control For Affine Nonlinear Discrete-Time Systems= |
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作者 | Tang, Gong-yon; Xie, Nan; Liu, Peng; |
期刊 | Asian Journal of Control |
出版日期 | 20051200 |
卷期 | 7:4 民94.12 |
頁次 | 頁448-454 |
分類號 | 448.942 |
語文 | eng |
關鍵詞 | Discrete-time systems; Nonlinear systems; Optimal control; Sensitivity approach; |
英文摘要 | This paper deals with the optimal control problem for a class of affine nonlinear discrete-time systems. By introducing a sensitivity parameter and expanding the system variables into a Maclaurin series around it, we transform the original optimal control problem for affine nonlinear discrete-time systems into the optimal control problem for a sequence of linear discrete-time systems. The optimal control law consists of an accurate linear term and a nonlinear compensating term, which is an infinite sequence of adjoint vectors. In the present approach, iteration is required only for the nonlinear compensation series. By intercepting a finite sum of the series, we obtain a suboptimal control law that reduces the complexity of the calculations. A numerical simulation shows that the algorithm can be easily implemented and has a fast convergence rate. |
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