Design for nonlinear networked control systems with time delay governed by Markov chain with partly unknown transition probabilities
type: Item
instance of: scholarly article
title: Design for nonlinear networked control systems with time delay governed by Markov chain with partly unknown transition probabilities
zbMATH Open document ID: 1394.93306
DOI: 10.1155/2015/604246
author: Li-Di Quan
author: Xiao-Rui Guo
author: Yan-feng Wang
author: Zu-xin Li
author: Hui-ying Chen
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The problem of state feedback control for a class of nonlinear networked control systems with time delay is discussed in this paper. The time delay is modeled as a finite state Markov chain of which transition probabilities are partly unknown. The closed-loop system model is obtained by means of state augmentation. A sufficient condition is given which guarantees the stochastic stability of the closed-loop system in the form of linear matrix inequalities and the maximum bound of the nonlinearity is also obtained. Finally, a simulation example is used to show the validity of the proposed method.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6926764
MaRDI profile type: Publication
Wikidata QID: Q59119532
full work available at URL: https://doi.org/10.1155/2015/604246
OpenAlex ID: W1669129076
cites work: \(H^{\infty }\) control with limited communication and message losses
cites work: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
cites work: Quantized \(H_\infty\) output feedback control for linear discrete-time systems
cites work: Quantized \(H _{\infty }\) filtering for singular time-varying delay systems with unreliable communication channel
cites work: Stability and \(L_2\)-gain analysis of networked control systems under round-robin scheduling: a time-delay approach
cites work: Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains
cites work: Stabilization of Networked Control Systems With a New Delay Characterization
cites work: &lt;tex&gt;$H_infty$&lt;/tex&gt;Control for Networked Systems With Random Communication Delays
cites work: Robust fault detection for networked systems with communication delay and data missing
cites work: A new method for stabilization of networked control systems with random delays
cites work: Stability of linear feedback systems with random communication delays
cites work: Output feedback stabilization for Markov-based nonuniformly sampled-data networked control systems
cites work: Stability analysis of networked control systems with random time delays and packet dropouts modeled by Markov chains
cites work: Robust mixed control of networked control systems with random time delays in both forward and backward communication links
cites work: Stabilization for networked control systems with random sampling periods
cites work: Analysis and design of networked control systems with random Markovian delays and uncertain transition probabilities
cites work: Fault detection for nonlinear networked control systems with Markov data transmission pattern
description: scientific article; zbMATH DE number 6926764