Robust exponential stability of uncertain stochastic systems with probabilistic time-varying delays
Robust exponential stability of uncertain stochastic systems with probabilistic time-varying delays
复制标题
具有概率时变时滞的不确定随机系统的鲁棒指数稳定性
DOI：
10.1002/rnc.4077
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发表时间：
2018
影响因子：
3.9
通讯作者：
Xing Mali
中科院分区：
文献类型：
--
作者：
Hu Zhipei;Deng Feiqi;Luo Shixian;Xing Mali
研究了具有概率时变时滞的不确定随机系统的时滞分布相关鲁棒指数稳定性问题。首先，受一类具有量化和丢包的网络系统的启发，研究了一类基于网络的具有概率时变时滞的不确定随机系统的镇定问题.其次，构建了基于闭环网络的不确定随机系统的等效模型。与以前的工作不同，所提出的等效系统模型使基于网络的不确定随机系统的控制器设计能够享受分组丢失的概率分布特性的优势。第三，应用Lyapunov-Krasovskii泛函方法和随机稳定性理论，得到了时滞分布相关的鲁棒指数均方稳定性判据，并给出了时滞分布相关控制器设计的充分条件，以保证系统的稳定性.最后，通过一个算例验证了所得结果的有效性.此外，在考虑分组丢失的概率分布特性的情况下，连续分组丢失的允许上限将更大。
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.