基于输出反馈的不确定连续系统的鲁棒预测控制  

Robust Predictive Control for Uncertain Continuous-time System Based on Output Feedback

作　　者：韩春艳[1] 刘晓华[1] 

机构地区：[1]鲁东大学数学与信息学院

出　　处：《信息与控制》2006年第6期721-725,731,共6页Information and Control

基　　金：山东省自然科学基金资助项目(Y2005G01)

摘　　要：运用线性矩阵不等式方法,研究一类基于输出反馈的线性连续时间范数有界参数不确定系统的鲁棒预测控制问题.基于变量变换的思想,将无限时域“最小—最大”优化问题转化为线性规划问题,得出分段连续的输出反馈控制律,并给出了控制律存在的充分条件,证明了优化问题在初始时刻的可行解保证闭环系统渐近稳定.仿真实例验证了此方法的有效性.*An output feedback based robust predictive control algorithm for linear continuous-time systems with norm-bounded parameter uncertainties is presented by linear matrix inequality formulation. Based on the idea of variable transformation, the infinite time domain ＂ min-max＂ optimization problems are converted into linear programming problems, a piecewise continuous output feedback control law is obtained and the sufficient conditions for the existence of this control law are given. It is proved that the robust stability of the closed-loop systems is guaranteed by the initial feasible solutions of the optimization problems. A simulation example illustrates the efficiency of this method.

关 键 词：预测控制 输出反馈 线性矩阵不等式(LMI) 连续时间系统 鲁棒稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]