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 language | English |
|---|---|
| Pages (from-to) | 1879-1901 |
| Number of pages | 23 |
| Journal | Nonlinear Dynamics |
| Volume | 95 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2019 Feb 28 |
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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 journal › Article
}
TY - JOUR
T1 - Static anti-windup compensator design for nonlinear time-delay systems subjected to input saturation
AU - Hussain, Muntazir
AU - Rehan, Muhammad
AU - Ahn, Choon Ki
AU - Zheng, Zewei
PY - 2019/2/28
Y1 - 2019/2/28
N2 - 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.
AB - 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.
KW - Constrained nonlinear time-delay systems
KW - L gain
KW - Linear parameter varying (LPV)
KW - Reformulated Lipschitz condition
KW - Static anti-windup compensator
UR - http://www.scopus.com/inward/record.url?scp=85063633003&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85063633003&partnerID=8YFLogxK
U2 - 10.1007/s11071-018-4666-3
DO - 10.1007/s11071-018-4666-3
M3 - Article
AN - SCOPUS:85063633003
VL - 95
SP - 1879
EP - 1901
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
IS - 3
ER -