多胞不确定时滞系统的输出反馈鲁棒预测控制  

Output Feedback Robust Predictive Control for Polytopic Uncertain Time-Delay Systems

作　　者：盖俊峰 赵国荣 高超 耿宝亮 GAI Junfeng;ZHAO Guorong;GAO Chao;GENG Baoliang(The 91206th Unit of PLA,Qingdao Shandong 266108,China;Naval Aviation University,Yantai Shandong 264001,China)

机构地区：[1]91206部队,山东青岛266108 [2]海军航空大学,山东烟台264001

出　　处：《海军航空工程学院学报》2019年第5期423-429,共7页Journal of Naval Aeronautical and Astronautical University

基　　金：国家自然科学基金资助项目（61903374）

摘　　要：针对一类具有多胞结构的不确定离散时滞系统,提出了一种基于LMI的输出反馈鲁棒预测控制算法。根据Lyapunov稳定性理论,给出了保证系统鲁棒稳定性的充要条件,并将系统的鲁棒预测控制优化问题转化为易于求解的LMI问题。通过离线计算鲁棒预测控制器中的输出反馈增益矩阵,显著减少了算法的在线计算量。对系统输入、输出约束和状态时滞的考虑使所提出的鲁棒预测控制算法更接近于工程实践。而输出反馈的采用突破了以往算法中要求系统状态必须可测的限制,使算法具有更低的保守性。仿真结果验证了算法的有效性。For a class of uncertain discrete time-delay systems with polytopic structure,an output feedback robust model predictive control algorithm based on LMI was proposed.According to Lyapunov stability theory,necessary and sufficient condition was given to guarantee the robust stability of the system,and the robust predictive control optimization problem was transformed into LMI problem which is easy to solve.The amount of online computation was significantly reduced by calculating the output feedback gain matrix of robust predictive controller offline.The proposed robust predictive control algorithm is close to engineering practice because of the consideration of input and output constraints and state delay.In previous methods,the system state must be measurable,but the proposed algorithm broke through this restriction,so the al?gorithm has a lower conservative.Simulation results showed the effectiveness of the algorithm.

关 键 词：模型预测控制 多胞时滞系统 输出反馈 鲁棒稳定性 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]