Optimal control for networked control systems with disturbances: a delta operator approach

• Published in: IET control theory & applications Vol. 11; no. 9; pp. 1325 - 1332
• Main Authors: Yuan, Yuan, Yuan, Huanhuan, Wang, Zidong, Guo, Lei, Yang, Hongjiu
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 02.06.2017
• Subjects: control system synthesis; controller parameters; convex optimisation algorithms; convex programming; delta operator approach; delta‐domain networked control systems; dynamic programming; dynamic programming method; multivariable control systems; NCS; network induced constraints; networked control systems; optimal control; optimal control problem; optimal control strategy; Research Article; optimal control problem; network induced constraints; dynamic programming; optimal control; control system synthesis; convex programming; controller parameters; convex optimisation algorithms; delta operator approach; multivariable control systems; networked control systems; optimal control strategy; dynamic programming method; delta-domain networked control systems; NCS
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2016.1279

This study deals with the optimal control problem for a class of delta-domain networked control systems (NCSs) subjected to both matched and unmatched disturbances. In the presence of the disturbances, the so-called $\epsilon $ϵ-optimum is proposed to quantify the control performance. The purpose of the addressed problem is to design the optimal control strategy such that the cost function is minimised over the finite-/infinite-horizon under the network-induced constraints. In virtue of the dynamic programming method, sufficient conditions are established to guarantee the existence of the desired control strategies, and the controller parameters are designed. For the obtained optimal control strategy, an upper bound for the $\epsilon $ϵ-optimum is provided explicitly, and convex optimisation algorithms are given to compute such upper bound. Both simulation and experimental results are provided to illustrate the usefulness and applicability of the proposed methods.