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

18 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


  • 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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