| 引用本文: | 练红海,邓鹏,肖伸平,肖会芹.基于T–S模糊模型的非线性系统鲁棒采样控制[J].控制理论与应用,2020,37(7):1601~1610.[点击复制] |
| LIAN Hong-hai,DENG Peng,XIAO Shen-ping,XIAO Hui-qin.Robust sampled-data control for nonlinear systems based on T–S fuzzy model[J].Control Theory and Technology,2020,37(7):1601~1610.[点击复制] |
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| 基于T–S模糊模型的非线性系统鲁棒采样控制 |
| Robust sampled-data control for nonlinear systems based on T–S fuzzy model |
| 摘要点击 1503 全文点击 570 投稿时间：2019-06-02 修订日期：2020-05-21 |
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| DOI编号 10.7641/CTA.2020.90413 |
| 2020,37(7):1601-1610 |
| 中文关键词 T–S模糊模型 非线性系统 采样控制 Lyapunov泛函 鲁棒镇定 |
| 英文关键词 T–S fuzzy model nonlinear systems sampled-data control Lyapunov functional robust stabilization |
| 基金项目 国家自然科学基金项目(61672225, 61703153), 湖南省自然科学基金项目(2017JJ4021, 2018JJ4075, 2018JJ5010), 湖南电气职业技术学院自科科学 基金项目(2019ZK002, 2020ZK001)资助. |
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| 中文摘要 |
| 使用模糊采样控制方法研究一类T–S(Takagi-Sugeno)模糊模型描述的非线性系统鲁棒镇定问题. 首先, 充分
利用整个采样区间[tk; tk+1) 的特征信息, 构造出一个改进的双边时间相关Lyapunov 泛函. 然后, 结合提出的
Lyapunov泛函和自由矩阵不等式, 导出了确保非线性系统渐近稳定的鲁棒镇定条件, 并给出模糊采样控制器设计方
法. 最后, 通过4个例子仿真验证了提出方法的有效性和优越性. |
| 英文摘要 |
| The problem of robust stabilization for a class of nonlinear systems, which is described as Takagi-Sugeno
(T–S) fuzzy model, is investigated through the use of fuzzy sampled-data control method. Firstly, by taking full advantage
of characteristic information on the whole sampling interval [tk; tk+1), a improved two-side time-dependent Lyapunov
functional is constructed. Furthermore, with the presented Lyapunov functional and free-matrix-based inequality, a robust
stabilization criterion is derived to guarantee the asymptotic stability for nonlinear systems, and the fuzzy sampled-data
controller design approach is also proposed. Finally, four simulation examples are given to verify the effectiveness and
superiority of the proposed method. |
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