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 journalArticle

2 Citations (Scopus)

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 L 2 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
Volume95
Issue number3
DOIs
Publication statusPublished - 2019 Feb 28

Fingerprint

Input Saturation
Nonlinear Time-delay Systems
Compensator
Time delay
Stabilization
Lipschitz Continuity
Nonlinear dynamical systems
Time Delay
Closed loop systems
Numerical analysis
Lyapunov-Krasovskii Functional
Derivatives
Delay-dependent
Nonlinear Dynamical Systems
Time-varying Delay
Comparative Analysis
Range of data
Nonlinear Dynamics
Closed-loop System
Numerical Analysis

Keywords

  • 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

Cite this

Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation. / Hussain, Muntazir; Rehan, Muhammad; Ahn, Choon Ki; Zheng, Zewei.

In: Nonlinear Dynamics, Vol. 95, No. 3, 28.02.2019, p. 1879-1901.

Research output: Contribution to journalArticle

Hussain, Muntazir ; Rehan, Muhammad ; Ahn, Choon Ki ; Zheng, Zewei. / Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation. In: Nonlinear Dynamics. 2019 ; Vol. 95, No. 3. pp. 1879-1901.
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