Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation
- Authors
- Hussain, Muntazir; Rehan, Muhammad; Ahn, Choon Ki; Zheng, Zewei
- Issue Date
- 2월-2019
- Publisher
- SPRINGER
- Keywords
- Static anti-windup compensator; Constrained nonlinear time-delay systems; Linear parameter varying (LPV); Reformulated Lipschitz condition; L-2 gain
- Citation
- NONLINEAR DYNAMICS, v.95, no.3, pp.1879 - 1901
- Indexed
- SCIE
SCOPUS
- Journal Title
- NONLINEAR DYNAMICS
- Volume
- 95
- Number
- 3
- Start Page
- 1879
- End Page
- 1901
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/67785
- DOI
- 10.1007/s11071-018-4666-3
- ISSN
- 0924-090X
- Abstract
- In this paper, a novel technique for synthesizing static anti-windup compensator (AWC) is explored for dynamic nonlinear plants with state interval time-delays, exogenous input disturbance, and input saturation nonlinearity, by means of reformulated Lipschitz continuity property. A delay-range-dependent approach, based on Wirtinger-based inequality, is employed to derive a condition for finding the static AWC gain. By using the Lyapunov-Krasovskii functional, reformulated Lipschitz continuity property, Wirtinger-based inequality, sector conditions, bounds on delay, range of time-varying delay, and L2 gain reduction, several conditions are derived to guarantee the global and local stabilization of the overall closed-loop system. Further, when the lower time-delay bound is zero, the delay-dependent stabilization condition is derived for saturated nonlinear time-delay systems as a particular scenario of the suggested static AWC design approach. Furthermore, a static AWC design strategy is also provided when a delay-derivative bound is not known. An application to the nonlinear dynamical system is employed to demonstrate the usefulness of the proposed methodologies. A comparative numerical analysis with the existing literature is provided to show the superiority of the proposed AWC results.
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