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非线性离散系统的H_∞ PI模糊控制器设计
H_∞PI fuzzy controller design for nonlinear discrete-time systems
【摘要】 提出了一种非线性离散系统H∞PI模糊控制器的设计方法.将非线性系统用T-S模糊动态模型表示,通过并行分配补偿(PDC)方法设计控制器,利用线性矩阵不等式方法给出PI控制器存在的充分条件.所设计的控制器使得闭环系统渐近稳定并满足给定的H∞性能,仿真算例说明了设计方法的有效性.
【Abstract】 This paper deals with the problem of H∞ PI fuzzy controller design for nonlinear discrete-time systems.Firstly,the nonlinear system can be represented by a fuzzy dynamic model;next,the parallel distributed compensation(PDC) method is used.A sufficient condition for existence of a H∞ PI fuzzy controller,such that the closed-loop system is stable and guarantee a prescribed H∞ performance is present via linear matrix inequalities(LMIs).A numerical example is provided to demonstrate the validity of the proposed design approach.
【关键词】 非线性离散系统;
T-S模糊模型;
H∞控制;
线性矩阵不等式;
【Key words】 nonlinear discrete-time system; T-S fuzzy model; H∞ control; LMI;
【Key words】 nonlinear discrete-time system; T-S fuzzy model; H∞ control; LMI;
【基金】 福建省自然科学基金资助项目(A05100092007J0018)
- 【文献出处】 福州大学学报(自然科学版) ,Journal of Fuzhou University(Natural Science Edition) , 编辑部邮箱 ,2008年S1期
- 【分类号】TP13
- 【下载频次】98