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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
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)
