| 引用本文: | 陈泳锟,王元,苏为洲.鲁棒稳定性对最优二次型控制设计的约束[J].控制理论与应用,2015,32(5):591~597.[点击复制] |
| CHEN Yong-kun,WANG Yuan,SU Wei-zhou.Robust stability constraints on linear quadratic optimal control[J].Control Theory and Technology,2015,32(5):591~597.[点击复制] |
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| 鲁棒稳定性对最优二次型控制设计的约束 |
| Robust stability constraints on linear quadratic optimal control |
| 摘要点击 2877 全文点击 1678 投稿时间：2014-08-24 修订日期：2015-01-01 |
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| DOI编号 10.7641/CTA.2015.40779 |
| 2015,32(5):591-597 |
| 中文关键词 伺服系统 内模原理 LQR最优控制 鲁棒稳定性 卡尔曼等式 |
| 英文关键词 servo systems internal model LQR optimal control robust stability Kalman’s equality |
| 基金项目 国家自然科学基金项目(61273109, 61104219), 广东省教育厅育苗项目(LYM11010)资助. |
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| 中文摘要 |
| 高品质反馈系统中, 对象的模型不确定性给最优控制设计带来许多困难. 本文针对车载“动中通”天线伺 服系统, 研究了一种内模扩展的线性二次调节器(LQR)最优控制设计方法. 根据卡尔曼等式和小增益定理, 给出了 系统的鲁棒稳定性对控制器设计参数的约束条件, 以及鲁棒稳定裕量与二次最优性能指标参数的定量关系. 最后通 过MATLAB仿真和实际系统实验, 验证了控制器的有效性. |
| 英文摘要 |
| Plant uncertainties make it difficult to design optimal linear quadratic regulator (LQR) feedback controllers. The key issue is that for LQR optimal control design problem, there is no effective way to select proper weighting parameters in the cost function to guarantee the robust stability of the systems. This work investigates the internal model extended LQR optimal control design for the servo system in a communications on the move (COTM) system. Based on the Kalman’s equality and the small gain theorem, the robust stability constraints on the weighting parameters in the cost function are elaborated and the quantitative relationship between the robust stability margin and the weighting parameters in the cost function are derived. Finally, the effectiveness of the results in this work is validated by MATLAB simulations and experimental results. |