TY - JOUR
T1 - T-S Fuzzy-Model-Based Output Feedback Tracking Control with Control Input Saturation
AU - Yu, Yan
AU - Lam, Hak Keung
AU - Chan, Kit Yan
N1 - Funding Information:
Manuscript received January 3, 2018; revised March 20, 2018; accepted May 3, 2018. Date of publication May 11, 2018; date of current version November 29, 2018. This work was supported by the King’s College London. (Corresponding author: Yan Yu.) Y. Yu and H. K. Lam are with the Department of Informatics, King’s College London, London WC2B 4BG, U.K. (e-mail:, [email protected]; [email protected]).
Publisher Copyright:
© 1993-2012 IEEE.
PY - 2018/12
Y1 - 2018/12
N2 - This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to H∞ performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of H∞ performance and control input saturation rate according to the tracking result.
AB - This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to H∞ performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of H∞ performance and control input saturation rate according to the tracking result.
KW - Control input saturation
KW - H∞ performance
KW - linear matrix inequalities (LMIs)
KW - membership function dependent (MFD)
KW - output feedback
KW - stability analysis
KW - tracking control
UR - http://www.scopus.com/inward/record.url?scp=85046725664&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2018.2835761
DO - 10.1109/TFUZZ.2018.2835761
M3 - Article
AN - SCOPUS:85046725664
SN - 1063-6706
VL - 26
SP - 3514
EP - 3523
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 6
M1 - 8357906
ER -