Optimal control data scheduling with limited controller-plant communication

• Published in: Science China. Information sciences Vol. 61; no. 1; pp. 200 - 214
• Main Authors: Xu, Jiapeng, Wen, Chenglin, Xu, Daxing
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 2018; Springer Nature B.V
• Subjects: Communication; Computer Science; Control data (computers); Controllers; Information Systems and Communication Service; Kalman filters; Linear quadratic regulator; Optimal control; Optimization; Research Paper; Scheduling; Sensors; Systems stability; LQR control; control data scheduling; optimal schedule; multiple systems; limited transmission energy
• ISSN: 1674-733X; 1869-1919
• DOI: 10.1007/s11432-016-9073-y

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.