| 基于T-S模糊模型的采样系统鲁棒耗散控制 |
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| 引用本文： | 练红海, 肖伸平, 罗毅平, 周笔锋. 基于T-S模糊模型的采样系统鲁棒耗散控制. 自动化学报, 2022, 48(11): 2852−2862 doi: 10.16383/j.aas.c190309 |
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| 作者姓名： | 练红海 肖伸平 罗毅平 周笔锋 |
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| 作者单位： | 1.湖南电气职业技术学院风能工程学院 湘潭 411101;;2.电传动控制与智能装备湖南省重点实验室 株洲 412007;;3.湖南工业大学电气与信息工程学院 株洲 412007;;4.湖南工程学院电气信息学院 湘潭 411101 |
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| 基金项目： | 国家自然科学基金(61672225, 61741308), 湖南省自然科学基金(2018JJ2096, 2018JJ4075, 2020JJ7023), 湖南电气职业技术学院自然科学基金重点项目(2019ZK002)资助 |
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| 摘 要： | 研究基于T-S (Takagi-Sugeno)模糊模型的采样控制系统鲁棒耗散控制问题. 利用2阶B-L (Bessel-Legendre)不等式和整个采样间隔 $left[ {{t_k},{t_{k + 1}}} right)$的特征信息, 提出一个基于B-L不等式的双边时间相关不连续L-K (Lyapunov-Krasovskii)泛函. 使用提出的L-K泛函和改进的自由矩阵不等式, 建立了确保系统严格($mathcal{Q}$, $mathcal{S}$, $mathcal{R}$)-$gamma$-耗散的充分条件. 基于所得耗散条件, 给出了T-S模糊采样控制器的设计方法, 并用于处理卡车拖车的控制问题. 仿真结果表明所提出的控制器设计方法非常有效.
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| 关 键 词： | T-S模糊模型 采样控制系统 基于B-L不等式的双边时间相关不连续L-K泛函 T-S模糊采样控制器 |
| 收稿时间： | 2019-04-19 |
Robust Dissipative Control for Sampled-data System Based on T-S Fuzzy Model |
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| Lian Hong-Hai, Xiao Shen-Ping, Luo Yi-Ping, Zhou Bi-Feng. Robust dissipative control for sampled-data system based on T-S fuzzy model. Acta Automatica Sinica, 2022, 48(11): 2852−2862 doi: 10.16383/j.aas.c190309 |
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| Authors: | LIAN Hong-Hai XIAO Shen-Ping LUO Yi-Ping ZHOU Bi-Feng |
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| Affiliation: | 1. School of Wind Energy Engineering, Hunan Electrical College of Technology, Xiangtan 411101;;2. Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007;;3. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007;;4. College of Electrical Information, Hunan Institute of Engineering, Xiangtan 411101 |
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| Abstract: | This paper investigates the problem of robust dissipative control for sampled-data control system based on Takagi-Sugeno (T-S) fuzzy model. By employing the second-order Bessel-Legendre (B-L) inequality and the characteristic information on the whole sampling interval $left[ {{t_k},{t_{k + 1}}} right)$, a B-L-inequality-based two-side time-dependent discontinuous Lyapunov-Krasovskii (L-K) functional is proposed. By using the proposed functional and improved free-matrix-based inequality, a sufficient condition is established to ensure that the sampled-data system is strictly ($mathcal{Q}$, $mathcal{S}$, $mathcal{R}$)-$gamma$-dissipative. Based on the obtained condition, a method to design desired T-S fuzzy sampled-data controller is presented, which is applied to deal with the control problem of a truck-trailer system. The obtained results show that the proposed design approach for the controller is very effective. |
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| Keywords: | T-S fuzzy model sampled-data control system B-L-inequality-based two-side time-dependent discontinuous L-K functional T-S fuzzy sampled-data controller |
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