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Title: Novel robust stability condition for uncertain systems with interval time-varying delay and nonlinear perturbations

Authors: Yubin Wu; Hexin Zhang; Guoliang Li; Dawei Sun; Yongqiang Li

Addresses: Section 301, High-Tech Institute of Xi'an, Xi'an, Shaanxi, 710025, China ' Section 301, High-Tech Institute of Xi'an, Xi'an, Shaanxi, 710025, China ' Section 301, High-Tech Institute of Xi'an, Xi'an, Shaanxi, 710025, China ' Section 201, High-Tech Institute, Fan Gong-ting South street on the 12#, QingZhou, ShanDong, 262500, China ' Section 301, High-Tech Institute of Xi'an, Xi'an, Shaanxi, 710025, China

Abstract: In this paper, the problem of robust stability analysis for a class of uncertain systems with interval time-varying delay and nonlinear perturbations is studied. In order to develop a less conservative stability condition, a Lyapunov-Krasovskii functional (LKF) comprising quadruple-integral term is introduced. A novel delay dependent stability criterion in terms of linear matrix inequalities (LMIs) is given by using a new delay-partitioning approach and reciprocally convex combination technique, which is derived by integral inequality approach (IIA). Compared with the existing literature, this criterion can greatly reduce the complexity of theoretical derivation and computation. Finally, three well-known numerical comparative examples are given to verify the superiority of the proposed approach in reducing the conservation of conclusion.

Keywords: interval time-varying delay; delay-partitioning; robust stability; reciprocally convex combination; Lyapunov-Krasovskii functional; LKF; quadruple-integral term.

DOI: 10.1504/IJAAC.2020.103807

International Journal of Automation and Control, 2020 Vol.14 No.1, pp.98 - 114

Received: 15 Jun 2017
Accepted: 09 May 2018

Published online: 12 Nov 2019 *

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