一类非线性大系统的鲁棒H_∞模糊双曲分散控制  

Robust and Decentralized Fuzzy Hyperbolic H_∞ Control of a Class of Nonlinear Large-Scale Systems

作　　者：刘鑫蕊[1] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2007年第6期765-768,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(605340106057207060325311);教育部长江学者及创新团体计划项目

摘　　要：针对一类具有参数不确定性的非线性大系统给出鲁棒H∞模糊双曲分散控制.采用模糊双曲模型(FHM)来逼近某些复杂的非线性大系统,然后采用基于FHM的状态反馈控制器,并根据Lyapunov方法和大系统的分散控制理论,以线性矩阵不等式(LMI)的形式给出使系统满足H∞性能指标的充分条件.与Takagi-Sugeno(T-S)模糊模型相比,FHM不需要前提结构的辨识和完备的前提参数空间,尤其当需要很多条规则来逼近复杂非线性系统时,采用FHM明显比采用T-S模型减少计算代价.仿真例子证明了提出方法的可行性和有效性.Robust fuzzy hyperbolic H∞ control of nonlinear large-scale systems with parametric uncertainties is studied introducing the fuzzy hyperbolic model （FHM） to approximate to some complex large-scale systems. Then, according to the direct Lyapunov method and decentralized control theory of large-scale systems, a state feedback H∞ controller based on FHM is used such that the sufficient condition can be given in terms of linear matrix inequalities to enable the systems to satisfy the H∞ performance indices. The superiority of FHM over Takagi-Sugeno （T- S） fuzzy model in practice is mainly that no identification of premise structure and complete parameter space are needed, especially FHM costs obviously less than T-S fuzzy model in computation when a lot of fuzzy rules are needed to approximate to highly complex nonlinear systems. A simulation example is given to illustrate the feasibility and validity of the design procedure proposed.

关 键 词：模糊双曲 鲁棒H∞控制 大系统 参数不确定 分散控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]