| 引用本文: | 高兴泉,马苗苗,陈 虹.考虑时域硬约束的T-S模糊系统鲁棒H∞控制[J].控制理论与应用,2009,26(7):715~721.[点击复制] |
| GAO Xing-quan,MA Miao-miao,CHEN Hong.Robust H-infinity control for T-S fuzzy systems with time-domain hard constraints[J].Control Theory and Technology,2009,26(7):715~721.[点击复制] |
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| 考虑时域硬约束的T-S模糊系统鲁棒H∞控制 |
| Robust H-infinity control for T-S fuzzy systems with time-domain hard constraints |
| 摘要点击 1674 全文点击 1298 投稿时间：2007-08-18 修订日期：2009-01-14 |
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| DOI编号 |
| 2009,26(7):715-721 |
| 中文关键词 T-S模糊系统 时域硬约束 参数不确定 鲁棒H∞控制 双椭圆域 |
| 英文关键词 T-S fuzzy systems time-domain hard constraints uncertainties robust H-infinity control double-ellipsoid |
| 基金项目 国家杰出青年科学基金资助项目(60725311); 吉林省科技厅资助项目(200705C13); 吉林省教育厅资助项目(2008179). |
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| 中文摘要 |
| 针对带有时域硬约束(包括执行器饱和约束与状态约束)的不确定T-S模糊系统, 提出了一种鲁棒H∞控制方法. 先给出在不确定性参数范数有界的前提下T-S模糊系统满足给定H∞性能指标的充分条件, 再寻找在一个有界能量干扰作用下包含所有系统状态轨迹的椭圆域, 然后利用双椭圆域方法和S-Procesure将时域硬约束转化为一组LMI约束. 这种多目标设计最终归结为实现一个带有LMI约束的优化问题. 文中的最后给出并讨论了该方法用于倒立摆系统的仿真结果. |
| 英文摘要 |
| For uncertain Takagi-Sugeno(T-S) fuzzy systems with time-domain constraints on control inputs and states, a robust control scheme is proposed. Sufficient condition for achieving a given H-infinity performance level for the uncertain T-S fuzzy systems is given. Under the bound assumption of the disturbance energy, an ellipsoid containing all perturbed trajectories is found, and then, the time-domain hard constraints are translated into constraints in linear matrix inequalities (LMI) by using S-Procesure and double-ellipsoid method. This multi-objective design is eventually brought into solving an optimization problem with LMI constraints. Simulation of the application to an inverted pendulum is performed; and results are discussed. |