TY - JOUR
T1 - Robust Antiwindup for One-Sided Lipschitz Systems Subject to Input Saturation and Applications
AU - Hussain, Muntazir
AU - Rehan, Muhammad
AU - Ki Ahn, Choon
AU - Tufail, Muhammad
N1 - Funding Information:
Manuscript received October 11, 2017; revised January 29, 2018; accepted February 21, 2018. Date of publication March 15, 2018; date of current version July 30, 2018. This work was supported in part by the National Research Foundation of Korea through the Ministry of Science, ICT, and Future Planning under Grant NRF-2017R1A1A1A05001325 and in part by the Brain Korea 21 Plus Project in 2018. The work of M. Hussain was supported by the Higher Education Commission of Pakistan through Ph.D. scholarship (phase II, batch II program). (Corresponding authors: Muhammad Rehan; Choon Ki Ahn.) M. Hussain, M. Rehan, and M. Tufail are with the Department of Electrical Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad 45650, Pakistan (e-mail: muntazir_hussain14@yahoo.com; rehanqau@gmail.com; tufail@pieas.edu.pk).
Publisher Copyright:
© 1982-2012 IEEE.
PY - 2018/12
Y1 - 2018/12
N2 - This paper presents the robust nonlinear dynamic antiwindup compensator (AWC) design for nonlinear systems with parametric uncertainties and one-sided Lipschitz nonlinearities under actuator saturation. A decoupling architecture for a full-order AWC is proposed for the case of parametric uncertainties. AWC synthesis scheme is derived by employing the quadratic Lyapunov function, the notion of quadratic inner-boundedness, the one-sided Lipschitz condition, sector condition, and L2 gain minimization. An algorithm, based on the convex routines, by employing the cone complementary linearization, recursive computation, and a bilinear term resolving approach is provided for obtaining the AWC parameters. In contrast to the existing nonlinear AWC designs, our results provide a remedy to the input saturation for a widespread class of nonlinear systems and can effectively deal with the parametric uncertainties. The suggested AWC methodology is employed to compensate windup in the buck-boost converter and one-link flexible robot with revolute joint.
AB - This paper presents the robust nonlinear dynamic antiwindup compensator (AWC) design for nonlinear systems with parametric uncertainties and one-sided Lipschitz nonlinearities under actuator saturation. A decoupling architecture for a full-order AWC is proposed for the case of parametric uncertainties. AWC synthesis scheme is derived by employing the quadratic Lyapunov function, the notion of quadratic inner-boundedness, the one-sided Lipschitz condition, sector condition, and L2 gain minimization. An algorithm, based on the convex routines, by employing the cone complementary linearization, recursive computation, and a bilinear term resolving approach is provided for obtaining the AWC parameters. In contrast to the existing nonlinear AWC designs, our results provide a remedy to the input saturation for a widespread class of nonlinear systems and can effectively deal with the parametric uncertainties. The suggested AWC methodology is employed to compensate windup in the buck-boost converter and one-link flexible robot with revolute joint.
KW - One-sided Lipschitz condition
KW - parametric norm-bounded uncertainty
KW - quadratic inner-boundedness
KW - robust antiwindup compensator(AWC)
KW - saturation
UR - http://www.scopus.com/inward/record.url?scp=85043773564&partnerID=8YFLogxK
U2 - 10.1109/TIE.2018.2815950
DO - 10.1109/TIE.2018.2815950
M3 - Article
AN - SCOPUS:85043773564
SN - 0278-0046
VL - 65
SP - 9706
EP - 9716
JO - IEEE Transactions on Industrial Electronics
JF - IEEE Transactions on Industrial Electronics
IS - 12
M1 - 8316873
ER -