摘要
研究一类由Delta算子描述的T-S型模糊系统的鲁棒稳定性与状态反馈控制设计问题。基于Delta域的Lyapunov稳定性理论,利用线性矩阵不等式(LMI)的方法,给出了不确定模糊Delta算子系统鲁棒稳定及存在状态反馈控制器使得闭环系统稳定的充分条件。这不仅将连续与离散不确定模糊系统的有关结果纳入Delta算子系统的统一框架中,也为Delta算子方法在非线性系统中的应用研究提供了一种有效途径。数值算例说明了该方法的有效性。
Robust stability analysis and fuzzy control for the delta operator systems with uncertainties based on Takagi-Sugeno (T-S) model is studied. In terms of Lyapunov stability theorem in delta domain, the sufficient conditions for robust stability of the fuzzy systems are presented using the delta operator via LMI. The corresponding state feedback controller design is given. The proposed results can unify previous related conclusions of the continuous and discrete fuzzy systems with uncertainties. An illustrative example shows the feasibility of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2003年第6期720-723,共4页
Control and Decision
基金
国家自然科学基金资助项目(60174019
60034010)。
