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
N1 - 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.
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 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.
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 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.
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
U2 - 10.1007/s11071-018-4666-3
DO - 10.1007/s11071-018-4666-3
M3 - Article
AN - SCOPUS:85063633003
SN - 0924-090X
VL - 95
SP - 1879
EP - 1901
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 3
ER -