 A practical approach to networked control design for robust H∞ performance in the presence of uncertainties in both communication and systemPayam Haghighi, Babak Tavassoli and Alireza Farhadi Applied Mathematics and Computation, 2020, vol. 381, issue C Abstract: This work presents results on the development of robust H∞ control strategy for Networked Control Systems (NCSs) by involving uncertainties in both communication and controlled plant subsystems. The network-induced delays in both communication links (to and from the controller) are assumed to behave as Markov chains. An analytical approach is presented to calculate the transition probabilities of the Markovian network-induced delays. By employing the augmentation method, the resultant system is converted into a delay-free uncertain singular Markovian jump system with bounded transition probabilities. New conditions are established to assure that the uncertain NCS satisfies an H∞ performance requirement. Moreover, sufficient conditions for robust H∞ output feedback controller design are expressed in terms of LMIs. Finally, numerical examples are presented to verify the validity of the proposed controller design method. Keywords: Networked control systems (NCSs); Discrete-time singular system; Markovian jump linear systems; Robust H∞ control; Stochastic admissibility (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:381:y:2020:i:c:s0096300320302745 DOI: 10.1016/j.amc.2020.125308 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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