结构反馈不确定广义系统输出反馈鲁棒预测控制  

Output feedback robust predictive control of singular systems with structured feedback uncertainty

作　　者：刘晓华[1] 高荣[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《中南大学学报（自然科学版）》2013年第S1期138-141,共4页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(61174097)

摘　　要：针对一类采用线性分式模型描述的结构反馈不确定广义系统,当系统状态不可测时,讨论其基于输出反馈的鲁棒模型预测控制问题,采用变量替换方法以及线性矩阵不等式技术对含有输出反馈控制器增益矩阵的非线性不等式进行解藕,将无穷时域"最小?最大"优化问题转化为凸优化问题,给出输出反馈控制律存在的充分条件,证明优化问题在初始时刻的可行解能够保证广义闭环系统渐近稳定且正则无脉冲。仿真实例验证了所提方法的有效性。The problem of output feedback robust model predictive control was presented for the singular systems with structured feedback uncertainties described by linear fractional model when the states of control systems were immeasurable.Based on the idea of variable transformation and LMI methods,the nonlinear inequalities with output feedback controller gain matrixes are decoupled,and the infinite time domain 'min-max' optimization problems are converted into convex optimization problems.The sufficient conditions for the existence of this controller were derived.It is proved that the robust stability of the closed-loop singular systems is guaranteed by the initial feasible solution of the optimization problems,and the regular and the impulse-free of singular systems are also held.A simulation example shows the effectiveness of the method.

关 键 词：鲁棒预测控制 结构反馈 广义系统 输出反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]