TY - JOUR
T1 - Observer-based TS fuzzy control for a class of general nonaffine nonlinear systems using generalized projection-update laws
AU - Wang, Wei Yen
AU - Chien, Yi Hsing
AU - Lee, Tsu Tian
N1 - Funding Information:
Manuscript received August 18, 2010; revised December 2, 2010; accepted January 10, 2011. Date of publication February 17, 2011; date of current version June 6, 2011. This work was supported by the National Science Council (NSC), Taiwan, under Grant NSC 99-2221-E-003-023.
PY - 2011/6
Y1 - 2011/6
N2 - In this paper, we propose an online observer-based TakagiSugeno (TS) fuzzy-output tracking-control technique and an improved generalized projection-update law for a class of general nonaffine nonlinear systems with unknown functions and external disturbances. First, a TS fuzzy model and a mean-value estimation technique are adopted to approximate a so-called virtual linearized system (VLS) of a real system and avoiding a high-order derivative problem, respectively. Second, a novel design concept combining the TS fuzzy controller, observer, and tuning algorithm by neural networks is proposed to improve system performance. After that, we also use improved generalized projection-update laws, which prevent parameters drift and confine adjustable parameters to the specified regions, to tune adjustable parameters. As a result, both the stability guarantee based on strictly positive real (SPR) Lyapunov theory and Barbalats lemma and the better tracking performance are concluded. To illustrate the effectiveness of the proposed TS fuzzy controller and observer-design methodology, numerical simulation results are given in this paper.
AB - In this paper, we propose an online observer-based TakagiSugeno (TS) fuzzy-output tracking-control technique and an improved generalized projection-update law for a class of general nonaffine nonlinear systems with unknown functions and external disturbances. First, a TS fuzzy model and a mean-value estimation technique are adopted to approximate a so-called virtual linearized system (VLS) of a real system and avoiding a high-order derivative problem, respectively. Second, a novel design concept combining the TS fuzzy controller, observer, and tuning algorithm by neural networks is proposed to improve system performance. After that, we also use improved generalized projection-update laws, which prevent parameters drift and confine adjustable parameters to the specified regions, to tune adjustable parameters. As a result, both the stability guarantee based on strictly positive real (SPR) Lyapunov theory and Barbalats lemma and the better tracking performance are concluded. To illustrate the effectiveness of the proposed TS fuzzy controller and observer-design methodology, numerical simulation results are given in this paper.
KW - Nonaffine nonlinear system
KW - TakagiSugeno (TS) fuzzy model
KW - projection-update law
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U2 - 10.1109/TFUZZ.2011.2114888
DO - 10.1109/TFUZZ.2011.2114888
M3 - Article
AN - SCOPUS:79958004906
VL - 19
SP - 493
EP - 504
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
SN - 1063-6706
IS - 3
M1 - 5713834
ER -