Finite-time sliding mode control for networked singular Markovian jump systems with packet losses: A delay-fractioning scheme

• Published in: Neurocomputing (Amsterdam) Vol. 385; pp. 48 - 62
• Main Authors: Cui, Yunfei, Hu, Jun, Wu, Zhihui, Yang, Guang
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 14.04.2020
• Subjects: Networked systems; Packet losses; Singular Markovian jump systems; Sliding mode control; Stochastic finite-time boundedness; Networked systems; Singular Markovian jump systems; Stochastic finite-time boundedness; Packet losses; Sliding mode control
• ISSN: 0925-2312; 1872-8286
• DOI: 10.1016/j.neucom.2019.12.064

The paper is concerned with the finite-time sliding mode control (SMC) problem for a class of discrete networked singular Markovian jump systems (SMJSs) subject to packet losses (PLs) via the delay-fractioning approach. A random variable obeying the Bernoulli distribution is used to depict the phenomenon of PLs, which is frequently encountered in the practical engineering especially during the networked transmission. A key issue to be discussed is how to guarantee both the singular stochastic finite-time boundedness (SSFTB) of the resultant sliding mode dynamic systems and the reachability of the pre-selected sliding surface. Accordingly, a sufficient condition is obtained to ensure the SSFTB of sliding motion based on delay-fractioning method and linear matrix inequality technique. Furthermore, a new SMC mechanism is proposed to compensate the influence induced by LPs and ensure the reachability condition of pre-selected sliding surface simultaneously. Finally, the effectiveness of the proposed SMC approach is tested by a simulation example.