非线性系统具有圆盘极点约束的鲁棒模糊控制  

Robust fuzzy control for nonlinear system with disk pole constraints

作　　者：陈珺[1] 刘飞[1] 

机构地区：[1]江南大学自动化研究所,江苏无锡214122

出　　处：《控制与决策》2007年第9期983-988,共6页Control and Decision

基　　金：新世纪优秀人才支持计划(NCET-05-0485);教育部科学技术重点研究项目(105088)

摘　　要：针对一类具有范数有界时变参数不确定性的离散非线性系统,研究其具有圆盘极点约束的鲁棒模糊控制问题.采用T-S模糊模型逼近实际的离散非线性系统,结合并行分布补偿法和二次型性能指标,导出了保证闭环系统鲁棒稳定且所有极点配置在预先指定圆盘中的二次圆域稳定保性能控制器的存在条件,并将最优保性能控制器的设计问题可归结为求解一个线性矩阵不等式的凸优化问题.最后的仿真结果验证了设计方法的有效性.For a class of discrete-time nonlinear systems with norm-bounded and time-varying parameter uncertainties, the problem of robust fuzzy control with disk pole constraints is studied. The T-S fuzzy models are employed to approximate the uncertain discrete-time nonlinear systems. By using the parallel distributed compensation （PDC） approach and a given quadratic cost function, a sufficient condition for the existence of quadratic disk-stable guaranteed cost controller which ensures the closed-loop systems robust stability and assigns all the closed-loop poles in a pre-specified disk is derived. Moreover, the design procedure of optimal quadratic disk-stable guaranteed cost controller can be formulated as a convex optimization problem involving linear matrix inequalities （LMIs）. Finally, the simulation results demonstrate the effectiveness of the design procedure.

关 键 词：离散非线性系统 T-S模糊模型 圆盘极点约束 鲁棒保性能控制 并行分布补偿法 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]