Title: Design of networked polynomial control systems with random delays: sum of squares approach

Authors: Mohsen Rakhshan; Navid Vafamand; Mokhtar Shasadeghi; Morteza Dabbaghjamanesh; Amirhossein Moeini

Addresses: Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Fars, Iran ' Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Fars, Iran ' Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Fars, Iran ' Department of Electrical and Computer Engineering, Northern Illinois University, Lincoln Hwy, DeKalb, IL 60115, USA ' Department of Electrical Engineering, University of Tehran, Tehran, Iran

Abstract: This paper studies the problem of networked polynomial state feedback control using the sum of square (SOS) approach considering network-induced varying delay. The stabilisation conditions are achieved based on the Lyapunov-Krasovskii stability theory. The proposed control approach is based on the SOS decomposition numerical method which applies a control input to stabilise the networked control system states. Finally, numerical simulation is done to demonstrate the effectiveness of the proposed method.

Keywords: networked control systems; NCS; network delay; sum of squares; SOS; Lyapunov-Krasovskii stability; stabilisation analysis; random delays; polynomial state feedback control; numerical simulation.

DOI: 10.1504/IJAAC.2016.075146

International Journal of Automation and Control, 2016 Vol.10 No.1, pp.73 - 86

Received: 25 May 2015
Accepted: 04 Jan 2016
Published online: 04 Mar 2016 *

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