Improved robust H∞ stability analysis and stabilisation of uncertain and disturbed networked control systems with network-induced delay and packets dropout

Nourreddine Nafir, Zahir Ahmida, Kevin Guelton, Fayçal Bourahala and Mohamed Rouamel

International Journal of Systems Science, 2021, vol. 52, issue 16, 3493-3510

Abstract: This paper is concerned with stability analysis and stabilisation of uncertain Networked Control Systems (NCS) with network-induced delay and packet dropouts. This proposal aims at maximising the allowable upper bound of network-induced delay, together with the number of consecutive packet dropouts, from which uncertain and disturbed NCS plants are stable. A novel augmented Lyapunov–Krasovskii functionals (LKF), dependent on both the lower and upper bounds of the network-induced time-varying delay, is considered to derive the proposed delay-dependent LMI-based $ H_\infty $ H∞ stability conditions. Relaxation of these conditions are obtained by exploiting simple and double integral Wirtinger's inequalities to introduce more degrees of freedom from the LKF terms than existing related conditions in the literature. Finally, numerical examples and simulation results are presented to illustrate the effectiveness and the conservatism improvement raised by this proposal compared to previous related results.

Date: 2021
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DOI: 10.1080/00207721.2021.1931547

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