In this paper, the modeling and H∞ control problems for the Networked Control System (NCS) with random data-packet losses in sensor-controller channel and disturbances are investigated. In specific, the networked system with sensor measurement losses is modeled as a Markovian jump linear system(MJLS) by using a multi-rate sampling approach, while the characteristics of network-induced packet losses are assumed to follow multiple-state Markov chain process. The sufficient conditions for the robustly stochastic stabilit ENGLy of the NCS are obtained via the piecewise Lyapunov function method. Instead of designing a general robust controller, we take the dynamic network conditions into consideration when designing a statefeedback controller for the NCS. The stochastic packet-lossdependant controller for the closed-loop networked system is presented in the formulation of linear matrix inequalit ENGLies(LMIs), under the given H∞ disturbance-rejection-Attenuation level. Simulation results of a simple networked robotic arm show that the developed packet-loss-dependant controller can stabilize the networked system with both random sensor-measurement losses and disturbances robustly.

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Keywords H∞ control, Markovian jump linear system, Networked control system, Sensor measurement losses
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Conference 2016 IEEE International Conference on Information and Automation, IEEE ICIA 2016
Liu, S. (Shichao), Liu, P, & Wang, X. (2017). H∞ control of networked control systems with stochastic measurement losses. In 2016 IEEE International Conference on Information and Automation, IEEE ICIA 2016 (pp. 1691–1696). doi:10.1109/ICInfA.2016.7832090