| 一类非线性奇异摄动系统的次优控制 |
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| 引用本文： | 魏淑清.一类非线性奇异摄动系统的次优控制[J].宁夏大学学报(自然科学版),2007,28(3):229-232. |
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| 作者姓名： | 魏淑清 |
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| 作者单位： | 北方民族大学,商学院,宁夏,银川,750021 |
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| 摘 要： | 研究一类非线性奇异摄动系统的线性二次型最优控制问题.基于奇异摄动的快慢分解理论,将系统分解为一个快子系统和一个降阶的非线性慢子系统.利用逐次逼近方法,得到了非线性慢子系统的最优控制律,进而结合快子系统的最优控制律得到了原系统的次优控制律.仿真算例表明了算法的有效性.
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| 关 键 词： | 奇异摄动系统 非线性系统 最优控制 逐次逼近法 |
| 文章编号： | 0253-2328（2007）03-0229-04 |
| 修稿时间： | 2007-01-15 |
Suboptimal Control for A Class of Nonlinear Singularly Perturbed Systems |
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| Wei Shuqing.Suboptimal Control for A Class of Nonlinear Singularly Perturbed Systems[J].Journal of Ningxia University(Natural Science Edition),2007,28(3):229-232. |
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| Authors: | Wei Shuqing |
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| Institution: | School of Commerce,North China University for Nationalities,Yinchuan 750021,China |
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| Abstract: | The linear quadratic optimal control problem for a class of nonlinear singularly perturbed systems is studied.Based on the slow-fast decomposition theory of singular perturbation,the system is decomposed into a fast subsystem and a nonlinear slow subsystem.The slow optimal control law is given by using the successive approximation approach,and the suboptimal control law of the original system is obtained via the optimal control laws of the two subsystems.Simulation examples show the validity of proposed algorithm. |
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| Keywords: | singularly perturbed system nonlinear systems optimal control successive approximation approach |
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