Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation

Muntazir Hussain, Muhammad Rehan, Choon Ki Ahn, Zewei Zheng

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1879-1901
Number of pages23
JournalNonlinear Dynamics
Issue number3
Publication statusPublished - 2019 Feb 28

Bibliographical note

Funding Information:
Acknowledgements This work was supported in parts by the Higher Education Commission (HEC) of Pakistan through PhD scholarship of the first author (phase II, batch II program) and the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325.

Publisher Copyright:
© 2018, Springer Nature B.V.


  • Constrained nonlinear time-delay systems
  • L gain
  • Linear parameter varying (LPV)
  • Reformulated Lipschitz condition
  • Static anti-windup compensator

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering


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