| 引用本文: | 李艳辉,吴迪.考虑随机时滞的非线性网控系统鲁棒L2-L∞控制[J].控制理论与应用,2017,34(7):931~937.[点击复制] |
| LI Yan-hui,WU Di.Robust L2-L∞ control for nonlinear networked control systems with random time delays[J].Control Theory and Technology,2017,34(7):931~937.[点击复制] |
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| 考虑随机时滞的非线性网控系统鲁棒L2-L∞控制 |
| Robust L2-L∞ control for nonlinear networked control systems with random time delays |
| 摘要点击 2265 全文点击 1351 投稿时间：2017-01-13 修订日期：2017-04-28 |
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| DOI编号 10.7641/CTA.2017.70027 |
| 2017,34(7):931-937 |
| 中文关键词 网络控制系统 T--S模糊模型 伯努利随机变量 观测器 指数稳定 |
| 英文关键词 networked control systems T--S fuzzy model Bernoulli random variables observer exponential stability |
| 基金项目 国家自然科学基金项目 |
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| 中文摘要 |
| 本文考虑了由Takagi-Sugeno (T-S) 模糊模型描述的一类连续非线性网络控制系统基于观测器的鲁棒L2-L∞控制器设计问题. 假设网络环境下存在的时变时滞具有特定的随机特性, 通过引入一个伯努利随机变量表示时滞在不同区间上分布的概率, 建立一个新的具有概率分布信息的系统模型. 根据平行分布补偿法 (PDC) 和Lyapunov 稳定性理论, 建立基于T-S 模糊模型的使系统均方指数稳定且满足L2-L∞的性能判据. 并利用线性矩阵不等式 (LMI) 技术同时得到状态观测器增益矩阵和控制器增益矩阵. 最后, 仿真结果验证了该方法的有效性. |
| 英文摘要 |
| In this paper, the problem of observer-based robust L2-L∞ controller design for a class of continuous nonlinear networked control systems is considered in Takagi-Sugeno (T-S) fuzzy model. A new system model with probability distribution information is established by introducing a Bernoulli random variable to represent the probability of the delay distribution in different intervals, assuming that the time-varying delay in the network environment has a certain stochastic property. According to the parallel distributed compensation (PDC) and Lyapunov stability theory, the L2-L∞ criterion based on T-S fuzzy model is established to make the system mean square exponential stability. And the state observer gain and the controller gain matrixes are obtained by linear matrix inequality (LMI) technique. Finally, the simulation results verify the effectiveness of the proposed method. |