Title: H_∞ output feedback control of networked control systems with multiple quantisers

Authors: Mei Yu; Shuang Bai; Jianhua Zhang

Addresses: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China ' School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China ' School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China

Abstract: H_∞ output feedback control of a kind of multi-input and multi-output networked control system (NCS) with packet loss processes is considered in this paper, where the packet loss processes are modelled by independent Markov chains. Multiple quantisers are located at both of the sensor nodes and the controller nodes. For each quantiser, the quantisation density varies with the successive packet dropout number that the corresponding quantised signal experiences. A sufficient condition of the exponential stability with a prescribed H_∞ performance level is developed based on the Lyapunov-Krasovskii function approach. Then, a quantised dynamic output feedback controller is designed via a cone complement linearisation method. Finally, a simulation result is provided to demonstrate the effectiveness of the designed method.

Keywords: NCSs; networked control systems; multiple quantisers; packet loss; Markov chains; H-infinity control; output feedback control; modelling; controller design; simulation.

DOI: 10.1504/IJSCIP.2015.075907

International Journal of System Control and Information Processing, 2015 Vol.1 No.4, pp.366 - 385

Received: 25 Jun 2015
Accepted: 12 Oct 2015
Published online: 12 Apr 2016 *

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