基于T-S模糊模型的采样系统鲁棒耗散控制  

Robust Dissipative Control for Sampled-data System Based on T-S Fuzzy Model

作　　者：练红海 肖伸平 罗毅平[4] 周笔锋[1] LIAN Hong-Hai;XIAO Shen-Ping;LUO Yi-Ping;ZHOU Bi-Feng(School of Wind Energy Engineering,Hunan Electrical College of Technology,Xiangtan 411101;Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province,Zhuzhou 412007;School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou 412007;College of Electrical Information,Hunan Institute of Engineering,Xiangtan 411101)

机构地区：[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

出　　处：《自动化学报》2022年第11期2852-2862,共11页Acta Automatica Sinica

基　　金：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。

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t_(k),t_(k+1)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(Q,S,R)-γ-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.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(t_(k),t_(k+1))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(Q,S,R)-γdissipative.Based on the obtained condition,a method to design desired T-S fuzzy sampleddata 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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]