Dynamic output feedback control for networked systems subject to communication delays, packet dropouts, and quantization

• Published in: Journal of the Franklin Institute Vol. 358; no. 8; pp. 4303 - 4325
• Main Authors: Mastani, Elahe, Rahmani, Mehdi
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.05.2021; Elsevier Science Ltd
• Subjects: Channels; Communications systems; Control systems; Controllers; Dropouts; Feedback control; Feedback control systems; H-infinity control; Linear matrix inequalities; Mathematical analysis; Mean square errors; Measurement; Network control; Output feedback; Robustness (mathematics)
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2021.03.023

•Dynamic output feedback control problem for uncertain networked systems is investigated.•Communication limitations include delays, packet dropouts, and quantization are considered in the network.•Quantization error is contemplated as a sector bounded uncertainty, and packet dropout is modeled by Bernoulli process.•The robust mean square stability and Hinftyperformance of the closed-loop system is ensured.•The proposed control is obtained based on H2/Hinftycriteria in the framework of LMIs. In this paper, the dynamic output feedback control problem for uncertain network control systems in the presence of constraints on network communication channels is investigated. These limitations include time-varying delays, packet dropouts, and quantization in both communication channels from sensor-to-controller and controller-to-plant. Packet dropouts are modeled by i.i.d Bernoulli processes. Also, logarithmic quantization and time-interval delays are considered in the communication network. To ensure the robust mean square stability and H∞ performance of the closed-loop system under imperfect communication channels, a dynamic output feedback control approach based on H2/H∞ criteria is proposed in the framework of linear matrix inequalities. A numerical example is presented to illustrate the validity of the theoretical analysis, and applicability of the proposed control approach.