| 非线性互联大系统的最优控制:逐次逼近法 |
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| 引用本文： | 唐功友,孙亮.非线性互联大系统的最优控制:逐次逼近法[J].自动化学报,2005,31(2):248-254. |
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| 作者姓名： | 唐功友 孙亮 |
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| 作者单位： | 1.College of Information Science and Engineering, Ocean University of China, Qingdao 266071 |
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| 摘 要： | The optimal control problem for nonlinear interconnected large-scale dynamic systems is considered. A successive approximation approach for designing the optimal controller is proposed with respect to quadratic performance indexes. By using the approach, the high order, coupling, nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupling TPBV problems. It is proven that the TPBV problem sequence uniformly converges to the optimal control for nonlinear interconnected large-scale systems. A suboptimal control law is obtained by using a finite iterative result of the optimal control sequence.
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| 关 键 词： | Nonlinear large-scale systems optimal control suboptimal control successive approximation approach |
| 收稿时间： | 2003-2-24 |
| 修稿时间： | 2004-6-29 |
Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach |
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| TANG Gong-you,SUN Liang.Optimal Control for Nonlinear Interconnected Large-scale Systems: A Successive Approximation Approach[J].Acta Automatica Sinica,2005,31(2):248-254. |
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| Authors: | TANG Gong-you SUN Liang |
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| Affiliation: | 1.College of Information Science and Engineering, Ocean University of China, Qingdao 266071 |
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| Abstract: | The optimal control problem for nonlinear interconnected large-scale dynamic systems is considered. A successive approximation approach for designing the optimal controller is proposed with respect to quadratic performance indexes. By using the approach, the high order, coupling, nonlinear two-point boundary value (TPBV) problem is transformed into a sequence of linear decoupling TPBV problems. It is proven that the TPBV problem sequence uniformly converges to the optimal control for nonlinear interconnected large-scale systems. A suboptimal control law is obtained by using a finite iterative result of the optimal control sequence. |
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| Keywords: | Nonlinear large-scale systems optimal control suboptimal control successive approximation approach |
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