Optimal Guaranteed Cost Sliding-Mode Control of Interval Type-2 Fuzzy Time-Delay Systems

TY - JOUR

T1 - Optimal Guaranteed Cost Sliding-Mode Control of Interval Type-2 Fuzzy Time-Delay Systems

AU - Li, Hongyi

AU - Wang, Jiahui

AU - Wu, Ligang

AU - Lam, Hak Keung

AU - Gao, Yabin

PY - 2018/2/1

Y1 - 2018/2/1

N2 - This paper is concerned with the optimal guaranteed cost sliding-mode control problem for interval type-2 (IT2) Takagi-Sugeno fuzzy systems with time-varying delays and exogenous disturbances. In the presence of the uncertain parameters hidden in membership functions, an adaptive method is presented to handle the time-varying weight coefficients reflecting the change of the uncertain parameters. A new integral sliding surface is presented based on the system output. By designing a novel adaptive sliding-mode controller, system perturbation or modeling error can be compensated, and the reachability of the sliding surface can be guaranteed with the ultimate uniform boundedness of the closed-loop system. Optimal conditions of an H2 guaranteed cost function and an H∞ performance index are established for the resulting time-delay control system. Finally, an inverted pendulum system represented by the IT2 fuzzy model is applied to illustrate the advantages and effectiveness of the proposed control scheme.

AB - This paper is concerned with the optimal guaranteed cost sliding-mode control problem for interval type-2 (IT2) Takagi-Sugeno fuzzy systems with time-varying delays and exogenous disturbances. In the presence of the uncertain parameters hidden in membership functions, an adaptive method is presented to handle the time-varying weight coefficients reflecting the change of the uncertain parameters. A new integral sliding surface is presented based on the system output. By designing a novel adaptive sliding-mode controller, system perturbation or modeling error can be compensated, and the reachability of the sliding surface can be guaranteed with the ultimate uniform boundedness of the closed-loop system. Optimal conditions of an H2 guaranteed cost function and an H∞ performance index are established for the resulting time-delay control system. Finally, an inverted pendulum system represented by the IT2 fuzzy model is applied to illustrate the advantages and effectiveness of the proposed control scheme.

KW - Guaranteed cost control

KW - interval type-2 (IT2) fuzzy systems

KW - sliding-mode control (SMC)

KW - time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=85041946480&partnerID=8YFLogxK

U2 - 10.1109/TFUZZ.2017.2648855

DO - 10.1109/TFUZZ.2017.2648855

M3 - Article

AN - SCOPUS:85041946480

SN - 1063-6706

VL - 26

SP - 246

EP - 257

JO - IEEE Transactions on Fuzzy Systems

JF - IEEE Transactions on Fuzzy Systems

IS - 1

M1 - 7807230

ER -