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

• DOI: 10.1016/j.physa.2018.06.074
• Publication Date: 2018-06-19T15:20:28Z
• Authors: Jufeng Wang; MengChu Zhou; Chunfeng Liu
• Keywords: 0209 industrial biotechnology; 02 engineering and technology

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.