时变时滞和不确定模糊广义系统的鲁棒H_∞控制  

Robust H_∞ Control for Fuzzy Systems with Time-Varying Delay and Parameter Uncertainties

作　　者：巩长忠[1] 杨敏[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2011年第2期36-41,共6页Journal of Civil Aviation University of China

摘　　要：讨论了一类时变时滞参数不确定模糊广义系统的二次稳定性与鲁棒H∞控制问题。应用新的T-S模糊系统模型对其进行了描述,并给出了系统的二次稳定性定义。应用新的Lyapunov函数和线性矩阵不等式,给出了判定系统二次稳定的更为松弛的条件。一个H∞状态控制器确保了闭环系统具有H∞性能。最后的仿真实例验证了结论的有效性和可行性。The problem of robust quadratic stability and robust H∞ control for a class of fuzzy descriptor systems with time-varying delay and parameter uncertainties.A new T-S fuzzy descriptor systems model with disturbance is proposed and the quadratic stability for the system is introduced.A more relaxed sufficient condition for the solvabiility of this problem is presented in terms of linear matrix inequalities（LMI） with a new lyapunov function.A state feedback H∞ controller is determined to ensure the closed system is quadratically stable and guarantee the H∞ performance.Finally,a numerical example is presented to demonstrate this method.

关 键 词：鲁棒H∞控制 模糊广义系统 时变时滞 参数不确定性 线性矩阵不等式 

分 类 号：TP202[自动化与计算机技术—检测技术与自动化装置]