摘要
运用线性矩阵不等式方法,研究了一类具有范数有界不确定系统的鲁棒预测控制问题.在每一采样时刻预测状态值,将无限时域"min-max"优化问题转化为凸优化问题求解,得出状态反馈预测控制律;同时设计系统的全维状态观测器,使得到的控制律满足观测器增益LP,从而保证了闭环系统的稳定性.仿真示例验证了算法的有效性.
The problem of robust predictive control for the systems with norm-bounded uncertainties is studied using the method of linear matrix inequality. With the predicted status value at every sampling time, the infinite time domain ＂rain-max＂ optimization problems are converted into convex optimization ones, the state feedback control law is deduced. In order to guarantee the stability of the closed-loop system simultaneously, the state observer is designed when the control law satisfying the observer gain Lp. The simulation example testify the correctness and effectiveness of this method.
出处
《鲁东大学学报（自然科学版）》
2008年第3期206-209,共4页
Journal of Ludong University:Natural Science Edition
关键词
鲁棒预测控制
线性矩阵不等式
状态观测器
不确定系统
robust predictive control
linear matrix inequality （LMI）
state observer
uncertain systems
