Observer-based H∞ control for persistent dwell-time switched networked nonlinear systems under packet dropout

• Published in: Applied mathematics and computation 2022-02, Vol.415, p.126679, Article 126679
• Main Authors: Chen, Zongjie, Zhang, Yigang, Kong, Qingkai, Fang, Ting, Wang, Jing
• Format: Article
• Language: English
• Subjects: Networked nonlinear systems; Observer-based control; Packet dropout; Persistent dwell-time
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2021.126679

•The last data received by the sensor is used to compensate the dropout of information caused by packet dropout.•The PDT switching is introduced into the NCSs.•The stability of the system after packet dropout occurs can be guaranteed by an observer-based controller under the new compensation mechanism. This paper focuses on the observer-based controller design issue for a class of discrete-time networked nonlinear systems. Due to the stochastic effects, the switching between subsystems occurs. The persistent dwell-time switching mechanism, which is more general than dwell-time switching and average dwell-time switching mechanisms, can well describe these switching cases with both fast and slow switchings. Furthermore, there is packet dropout during data transmission, which is described by Bernoulli white sequence, and a corresponding mechanism is used to compensate for the impact of packet dropout. Then based on the Lyapunov function approach, some sufficient conditions for mean-square exponentially stable and an expected H∞ performance are derived. Finally, an illustrative example that demonstrates the superiority and feasibility of the proposed method is given.