不确定连续模糊系统的鲁棒方差控制  

Robust Covariance Control for a Class of Continuous-time Fuzzy Systems with Parametric Uncertainties

作　　者：王方松[1] 向峥嵘[1] 

机构地区：[1]南京理工大学自动化系,江苏南京210094

出　　处：《控制工程》2004年第2期165-167,共3页Control Engineering of China

基　　金：国家自然科学基金资助项目(60174019)

摘　　要：对一类范数有界不确定连续T S模糊系统,研究了其状态反馈鲁棒方差控制律设计和稳定性问题。利用线性矩阵不等式(LMI)技术,导出了状态反馈鲁棒方差控制律的存在条件和使系统全局渐近稳定的充分条件,并用一组线性矩阵不等式的可行解,给出了使系统全局渐近稳定的状态反馈鲁棒方差控制律的一种参数化表达形式,而这些线性矩阵不等式的解可以用Matlab中LMI工具箱方便地求解。通过对混沌Lorenz系统的仿真,验证了所设计控制器的有效性。The robust covariance control and stability problem is considered for a class of continuous-time T-S fuzzy systems with time varying and norm-bounded parametric uncertainties. The existence condition of state feedback robust covariance control law and the suficient condition of global asympototically stabitily are presented by measns of the linear matrix inequality (LMI) method. The parameters of the state feedback robust covariance controller are derived through the numerical solution of a set of coupled linear matrix inequalities. The solution of LMI can be easily got using the LMI Toolbox in Matlab. The simulation results of chaos Lorenz system show its effectiveness.

关 键 词：模糊控制 方差控制 模糊模型 鲁棒稳定性 不确定连续模糊系统 线性矩阵不等式 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]