离散T-S模糊系统稳定性分析及控制器设计  

Stability analysis and controller design for discrete t-s fuzzy systems

作　　者：乔和[1] 常晓恒[2] 

机构地区：[1]辽宁工程技术大学电控学院,辽宁阜新123000 [2]渤海大学信息科学与工程学院,辽宁锦州121013

出　　处：《辽宁工程技术大学学报（自然科学版）》2008年第5期731-733,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：辽宁省教育厅高等学校科学研究基金资助项目(202183388)

摘　　要：针对离散T-S模糊控制系统稳定性分析及控制器设计问题,在Lyapunov直接方法把稳定性的判据归结为在所有的子系统中寻找一个公共的正定的矩阵P基础上,基于模糊Lyapunov方法提出了一种新的稳定性判别条件,把常规Lyapunov方法中的一个公共矩阵的寻找分解为r个矩阵的寻找,使该条件具有更大的宽松性;利用离散T-S模糊系统模型和模糊Lyapunov函数,通过矩阵变换,解决了控制器设计时的双线性矩阵不等式问题,使得稳定性的判定和控制器的增益计算都可以直接利用线性矩阵不等式,通过利用MATLAB中的LMI工具箱对系统进行了仿真,仿真实例给出了由具体规则描述的模糊系统,仿真结果说明了该算法的有效性和优越性。In view of the stability analysis and controller design problem of discrete T-S fuzzy control systems, on the basis of finding the stability criteria attributed to looking for a publical positive matrix in all of the subsystems,a new stability condition is proposed by usinag fuzzy Lyapunov method, which changes the public matrix finding in common Lyapunov method into finding r matrixs,and is less conservative than some existing results; using discrete T-S fuzzy system model and fuzzy Lyapunov function,and using matrix transformation, the bilinear matrix inequality problem is solved,also the determine of stability and gain calculation of the controller can be the directly calculated by LMI.The simulation results illustrate the effectiveness and merits of the proposed method by using the specific rules described by the fuzzy systems.

关 键 词：离散T-S模糊系统 模糊Lyapunov方法 稳定性 双线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]