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Observer-based passive control of non-homogeneous Markov jump systems with random communication delays
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2020-04-15 , DOI: 10.1080/00207721.2020.1752844
Yun Chen 1 , Zhangping Chen 1 , Zhenyu Chen 1 , Anke Xue 1
Affiliation  

ABSTRACT This paper focuses on the passive control problem for Markov jump systems with piecewise-constant transition rates, random nonlinearities and random communication delays. An observer is used to obtain the system state, and communication delay with probabilistic distribution is considered. The probabilistic properties of the nonlinear perturbations and communication delays are described by two mutually independent Bernoulli sequences. Based on average dwell time method and Lyapunov stability theory, a sufficient stochastic passivity condition is presented. By singular value decomposition technique the gain matrices can be computed via strict linear matrix inequalities, and the desired controller guarantees the stochastic passivity of the closed-loop augmented system. The effectiveness of the method is illustrated by a numerical example.

中文翻译:

具有随机通信延迟的非齐次马尔可夫跳跃系统的基于观察者的被动控制

摘要 本文重点研究具有分段常数转换率、随机非线性和随机通信延迟的马尔可夫跳跃系统的无源控制问题。使用观察器获取系统状态,并考虑概率分布的通信延迟。非线性扰动和通信延迟的概率特性由两个相互独立的伯努利序列描述。基于平均驻留时间法和Lyapunov稳定性理论,提出了充分随机无源条件。通过奇异值分解技术,可以通过严格的线性矩阵不等式计算增益矩阵,并且所需的控制器保证了闭环增强系统的随机被动性。数值例子说明了该方法的有效性。
更新日期:2020-04-15
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