Optimal control data scheduling with limited controller-plant communication

作     者：Jiapeng XU Chenglin WEN Daxing XU 

作者机构：Institute of Systems Science and Control Engineering School of AutomationHangzhou Dianzi University College of Electrical and Information Engineering Quzhou University 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2018年第61卷第1期

页      面：204-218页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by National Natural Science Foundation of China (Grant Nos. U1509203  61333011  U1664264  61603133) 

主　　题：control data scheduling LQR control optimal schedule limited transmission energy multiple systems 

摘      要：This paper considers optimal control data scheduling for finite-horizon linear quadratic regulation(LQR) control of scalar systems with limited controller-plant communication. Both the single-system and multiple-system scenarios are studied. For the first scenario, we derive the necessary and sufficient condition for a comparison function to be positive. Using this condition, the optimality of an explicit schedule is extended from unstable systems in the existing work to general systems. For the second scenario, we are able to construct explicit optimal scheduling policies for three particular classes of problems. Numerical examples are provided to illustrate the proposed results.