凸多面体不确定时滞系统鲁棒模型预测控制  

Robust Model Predictive Control for Time-delay Systems with Polytopic Uncertainty

作　　者：李善强[1] 石宇静[1] 陈东彦[1] 王俊明[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2011年第4期108-113,117,共7页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(10771047);黑龙江省自然科学基金(F200820);(A200811);黑龙江省教育厅科学技术研究项目(11521045);(11551090)

摘　　要：针对控制输入受约束的凸多面体不确定时滞系统,利用min-max模型预测控制策略,结合线性矩阵不等式技术,给出了带有时滞补偿的时滞相关鲁棒模型预测控制方法,证明了控制算法的可行性和闭环系统的鲁棒稳定性,并通过仿真实验验证了所提方法的有效性.By using of min-max model predictive control strategy combining the linear matrix inequality techniques,a delay-dependent robust model predictive control method with a time-delay compensation is given for the convex polyhedron uncertain time-delay system in which control input is bound.A time-delay compensation term is introduced into the model predictive controller in the method,which increases the degree of freedom of control,thereby enhancing the system control performance.Meanwhile,the feasibility analysis of the control algorithm and proof of closed-loop system robust stability are also given in the paper.Finally,simulation results verify that the proposed control method is effective.

关 键 词：模型预测控制 时滞系统 线性矩阵不等式 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]