Sliding Mode Control Under Redundant Channels: Handling Markov Packet Dropouts

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 54; no. 3; pp. 1 - 15
• Main Authors: Cao, Zhiru, Niu, Yugang, Lam, James
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aerospace electronics; Algorithms; Channels; Closed loops; Control systems design; Controllers; Data communication; Data models; Data transmission; Feedback control; Jump system; Markov chains; Markov process; Markov processes; networked control system; packet dropout; Particle swarm optimization; Propagation losses; Redundancy; Sliding mode control; sliding mode control (SMC); Symmetric matrices
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2023.3330946

This article is concerned with the sliding mode control (SMC) problem for a class of Markov jump systems subject to packet dropouts, in which the dropped or received status of packet is described by a Markov chain. To enhance the reliability of data transmission, multiple redundant channels are employed between sensors and the controller. Different from the existing measurement model under redundant channels with Bernoulli-process-based packet dropouts, a novel measurement model under Markov-chain-based packet dropouts is proposed under the redundant channel transmission. It is assumed that the modes of the controlled system and packet-dropout model are unavailable, and then a mode detection mechanism is proposed to detect the partially unavailable modes. By utilizing the detected modes, a dynamic observer is constructed to estimate the unmeasurable system state, based on which a detected-mode-dependent sliding mode controller is designed to achieve the mean-square exponential ultimate boundedness of the closed-loop system. Meanwhile, incremental search technique and particle swarm optimization algorithm are, respectively, utilized to solve two optimization problems for enhancing the closed-loop performances. Finally, two simulation examples are provided to verify the effectiveness of the proposed schemes.