Robust exponential stability of uncertain stochastic systems with probabilistic time‐varying delays |
| |
Authors: | Zhipei Hu Feiqi Deng Peng Shi Shixian Luo Mali Xing |
| |
Affiliation: | 1. School of Automation Science and Engineering, South China University of Technology, Guangzhou, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia;3. College of Engineering and Science, Victoria University, Melbourne, Australia |
| |
Abstract: | This paper is concerned with the problem of delay‐distribution–dependent robust exponential stability for uncertain stochastic systems with probabilistic time‐varying delays. Firstly, inspired by a class of networked systems with quantization and packet losses, we study the stabilization problem for a class of network‐based uncertain stochastic systems with probabilistic time‐varying delays. Secondly, an equivalent model of the resulting closed‐loop network‐based uncertain stochastic system is constructed. Different from the previous works, the proposed equivalent system model enables the controller design of the network‐based uncertain stochastic systems to enjoy the advantage of probability distribution characteristic of packet losses. Thirdly, by applying the Lyapunov‐Krasovskii functional approach and the stochastic stability theory, delay‐distribution–dependent robust exponential mean‐square stability criteria are derived, and the sufficient conditions for the design of the delay‐distribution–dependent controller are then proposed to guarantee the stability of the resulting system. Finally, a case study is given to show the effectiveness of the results derived. Moreover, the allowable upper bound of consecutive packet losses will be larger in the case that the probability distribution characteristic of packet losses is taken into consideration. |
| |
Keywords: | exponential stability networked systems packet losses robust H∞ control stochastic systems uncertain systems |
|
|