Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay

Jufeng Wang, MengChu Zhou and Chunfeng Liu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 509, issue C, 1128-1139

Abstract: This work studies the stochastic stability of Markovian jump linear systems in a communication network-based environment. By modeling quantization density as well as the sensor-to-controller and controller-to-actuator delays as Markov chains, the closed-loop networked control systems are expressed as switched linear systems. The necessary and sufficient conditions of stochastic stability are derived. By solving a set of linear matrix inequalities with matrix inversion constraints, this work presents a three-mode-dependent state-feedback controller. Its control performance is illustrated via a numerical example.

Keywords: Markovian jump system; Networked control system; Time delay; Quantization; Stability (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:509:y:2018:i:c:p:1128-1139

DOI: 10.1016/j.physa.2018.06.074

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