| 含正弦扰动的离散时滞系统的次优减振控制 |
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| 引用本文： | 张宝琳,唐功友,郑师,孙亮.含正弦扰动的离散时滞系统的次优减振控制[J].控制与决策,2006,21(1):19-0023. |
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| 作者姓名： | 张宝琳 唐功友 郑师 孙亮 |
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| 作者单位： | 中国海洋大学,信息科学与工程学院,山东,青岛,266071 |
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| 基金项目： | 国家自然科学基金项目（60574023）;山东省自然科学基金项目（Y2000G02）}青岛自然科学基金项目（05-1-JC-94）. |
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| 摘 要： | 研究状态变量含有时滞的线性离散系统在正弦扰动下的前馈-反馈最优减振控制问题．将系统的最优控制问题转化为非齐次线性两点边值问题族，利用逐次逼近法得到了系统的最优控制律．该控制律由解析的前馈。反馈控制律和补偿序列的极限组成．通过截取补偿序列的有限项，得到了系统的前馈一反馈次优减振控制律．仿真结果表明，该方法对抑制正弦扰动的鲁棒性优于经典反馈最优控制．
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| 关 键 词： | 离散时滞系统 最优控制 逐次逼近法 正弦扰动 前馈-反馈控制 |
| 文章编号： | 1001-0920（2006）01-0019-05 |
| 收稿时间： | 2004-12-24 |
| 修稿时间： | 2004-12-242005-03-11 |
Suboptimal Damping Control for Linear Discrete Time-delay Systems with Sinusoidal Disturbances |
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| ZHANG Bao-lin,TANG Gong-you,ZHENG Shi,SUN Liang.Suboptimal Damping Control for Linear Discrete Time-delay Systems with Sinusoidal Disturbances[J].Control and Decision,2006,21(1):19-0023. |
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| Authors: | ZHANG Bao-lin TANG Gong-you ZHENG Shi SUN Liang |
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| Affiliation: | College of Information Science and Engineering, Ocean University of China, Qingdao 266071, China. |
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| Abstract: | Optimal damping control for linear discrete time-delay systems with additive sinusoidal disturbances is considered. The original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value problems. By using a successive approximation approach, the optimal control law that consists of accurate linear terms and a limit of a sequence of adjoint compensation terms is obtained. A suboptimal control law is obtained by taking the finite-step iteration of the compensation sequence. Simulations show that the proposed algorithm has better robustness with respect to additive sinusoidal disturbances than that of the classical feedback optimal control. |
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| Keywords: | Discrete time-delay systems Optimal control Successive approximation approach Sinusoidal disturbances Feedforward and feedback control |
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