基于Delta算子的非线性系统最优模糊保性能控制  

Optimal fuzzy guaranteed cost control for Delta-operatorbased nonlinear systems

作　　者：李德权[1] 

机构地区：[1]安徽理工大学数理系,安徽淮南232001

出　　处：《系统工程与电子技术》2005年第5期883-888,共6页Systems Engineering and Electronics

基　　金：安徽省高等学校青年教师科研资助计划基金资助课题(2004jq142)

摘　　要：对一类Delta算子描述的具有范数有界不确定性的非线性T S模糊系统,研究其状态反馈最优保性能控制器设计问题。基于线性矩阵不等式(LMI)的方法,给出了存在和设计保性能控制律的一个充分条件。以及在使二次性能函数上界最小意义下,最优保性能控制律的凸优化设计方法。所得结果将连续和离散模糊系统的有关结论统一到Delta算子框架内。The optimal guaranteed cost controller design problem for nonlinear system with norm-bounded time-varying uncertainty is researched. The Takagi-Sugeno (T-S) fuzzy model in Delta-operator form is adopted for fuzzy modeling of the uncertain nonlinear system. Based on the linear matrix inequality technology, a sufficient condition for the existence of guaranteed cost controller is derived. Then a convex optimization algorithm is presented to obtain the optimal guaranteed cost controller in the sense of minimizing the upper bound of the quadratic performance index. With this approach, the related results on the continuous-time and discrete-time fuzzy systems are incorporated into the delta operator framework.

关 键 词：DELTA算子 模糊控制 线性矩阵不等式 保性能控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]