Parameter-dependent Lyapunov Function Based Model Predictive Control for Positive Systems and Its Application in Urban Water Management
作者单位：Institute of Information and ControlSchool of AutomationHangzhou Dianzi University
会议名称：《第36届中国控制会议》
主办单位：Dalian University of Technology;Systems Engineering Society of China (SESC);Technical Committee on Control Theory (TCCT), Chinese Association of Automation (CAA)
会议日期：2017年
学科分类：0711[理学-系统科学] 082802[工学-农业水土工程] 07[理学] 08[工学] 0828[工学-农业工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported in part the Zhejiang Provincial Natural Science Foundation of China(LY16F030005) the National Nature Science Foundation of China(Nos.61503107,U1509205)
关 键 词：Model predictive control positive systems parameter-dependent Lyapunov function
摘 要：This paper is concerned with model predictive control of positive systems with polytope uncertainty.A parameterdependent Lyapunov function is constructed for such systems and by employing the Lyapunov function,a new and less conservative model predictive control approach is *** new approach employs a linear framework in the performance index,the Lyapunov function,and the present conditions whereas the classic model predictive control always uses the quadratic form in those *** advantages of the proposed approach lie in the fact that:（i） it is more suitable for positive systems since the essential property of the systems is sufflcientiy considered,and（ii） the present model predictive control algorithm is easily implemented whether for off-line or on-line.A practical example is provided to illustrate the effectiveness of the proposed model predictive control design.