不确定非线性时滞系统的广义H_2控制  

Generalized H_2 Control for Uncertain Nonlinear Systems with Time-delay

作　　者：赵海英[1] 奥顿[2] 吴忠强[2] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]燕山大学电气工程学院,河北秦皇岛066004

出　　处：《自动化仪表》2010年第8期18-22,共5页Process Automation Instrumentation

摘　　要：对连续时间非线性系统的广义H2控制问题进行了研究。针对系统具有时变状态时滞和范数有界不确定性的特点,基于T-S模型,采用Lyapunov函数和线性矩阵不等式方法,得出此类非线性系统存在鲁棒H2模糊控制器的充分条件。该条件等价于两类线性矩阵不等式的可解性。仿真结果验证了算法的有效性。The topic of generalized H2 control for continuous nonlinear system is studied.Aim at the system＇s features of time-delay states and norm-bounded uncertainty,based on T-S model,by adopting Lyapunov function and linear matrix inequality method,the sufficient conditions for the existence of robust H2 fuzzy controller are derived.These conditions are equal to the resolvability of two kinds of linear matrix inequalities.The result of simulation verifies the effectiveness of this method.

关 键 词：T-S模型 广义H2控制 线性矩阵 时滞 不确定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]