H-infinity stability analysis and output feedback control for fuzzy stochastic networked control systems with time-varyi
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ORIGINAL ARTICLE
H-infinity stability analysis and output feedback control for fuzzy stochastic networked control systems with time-varying communication delays and multipath packet dropouts Zhiming Zhang1 • Wei Zheng1
•
Ping Xie1 • Fuchun Sun2 • Xiaolei Li3 • Shuhuan Wen1
Received: 21 May 2019 / Accepted: 2 March 2020 Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract The H-infinity stability analysis and delay-dependent Takagi–Sugeno (T–S) fuzzy dynamic output feedback control are proposed for the T–S fuzzy discrete networked control systems with time-varying communication delay and multipath packet dropouts. T–S fuzzy model is employed to approximate the discrete networked control system with time-varying state delay and external disturbance. Stochastic system theory and Bernoulli probability distribution are employed to describe the time-varying communication delay and multipath packet dropouts. Delay-dependent T–S fuzzy dynamic output feedback controller is designed. The delay-dependent T–S fuzzy dynamic output feedback controller is employed to relax the design conditions and enhance the design flexibility. The delay-dependent Lyapunov–Krasovskii functional, stochastic system theory and Bernoulli probability distribution are introduced to guarantee the stochastic mean-square stability and prescribed H-infinity performance. Some slack matrices are introduced to reduce the computation complexity. Finally, simulation examples are presented to show the effectiveness and advantages of the proposed methods. Keywords Stability analysis Lyapunov–Krasovskii functional Takagi–Sugeno (T–S) fuzzy model Linear matrix inequalities (LMIs) Time-varying delay
1 Introduction Recently, the communication technology and computer technology have developed rapidly and the networks have been applied to the control systems as a kind of signal transmission medium at the same time [1]. Generally, the networked control systems are connected by the controllers and the system plants via the communication networks [1]. The advantages of the networked control systems are summarized as: (1) the cost of cables and the number of cables are both reduced; (2) the power requirements and
& Wei Zheng [email protected]; [email protected] 1
School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, People’s Republic of China
2
School of Computer Science and Technology, Tsinghua University, Beijing 100084, People’s Republic of China
3
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
the time for adding sensors to the control system are reduced; and (3) the installation process is simplified and the reliability is improved [2]. The networked control systems have attracted much more attention because of the above advantages [3]. However, with the introduction of the networks, some new problems arise in the networked control systems, such as the communication delays and multipa
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