TY - JOUR
T1 - Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems
AU - Tong, Shao-Cheng
AU - Li, Yong-Ming
AU - Feng, Gang
AU - Li, Tie-Shan
PY - 2011/8
Y1 - 2011/8
N2 - In this paper, an adaptive fuzzy backstepping dynamic surface control (DSC) approach is developed for a class of multiple-input-multiple-output nonlinear systems with immeasurable states. Using fuzzy-logic systems to approximate the unknown nonlinear functions, a fuzzy state observer is designed to estimate the immeasurable states. By combining adaptive-backstepping technique and DSC technique, an adaptive fuzzy output-feedback backstepping-control approach is developed. The proposed control method not only overcomes the problem of explosion of complexity inherent in the backstepping-design methods but also overcomes the problem of unavailable state measurements. It is proved that all the signals of the closed-loop adaptive-control system are semiglobally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of the origin. Simulation results are provided to show the effectiveness of the proposed approach. © 2011 IEEE.
AB - In this paper, an adaptive fuzzy backstepping dynamic surface control (DSC) approach is developed for a class of multiple-input-multiple-output nonlinear systems with immeasurable states. Using fuzzy-logic systems to approximate the unknown nonlinear functions, a fuzzy state observer is designed to estimate the immeasurable states. By combining adaptive-backstepping technique and DSC technique, an adaptive fuzzy output-feedback backstepping-control approach is developed. The proposed control method not only overcomes the problem of explosion of complexity inherent in the backstepping-design methods but also overcomes the problem of unavailable state measurements. It is proved that all the signals of the closed-loop adaptive-control system are semiglobally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood of the origin. Simulation results are provided to show the effectiveness of the proposed approach. © 2011 IEEE.
KW - Adaptive output-feedback control
KW - backstepping design
KW - dynamic-surface-control (DSC) technique
KW - fuzzy-logic systems (FLSs)
KW - nonlinear multiple-input-multiple-output (MIMO) systems
KW - stability analysis
UR - http://www.scopus.com/inward/record.url?scp=79960698396&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79960698396&origin=recordpage
U2 - 10.1109/TSMCB.2011.2108283
DO - 10.1109/TSMCB.2011.2108283
M3 - RGC 21 - Publication in refereed journal
SN - 1083-4419
VL - 41
SP - 1124
EP - 1135
JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IS - 4
M1 - 5711676
ER -