TY - JOUR
T1 - T-S fuzzy bilinear model and fuzzy controller design for a class of nonlinear systems
AU - Li, Tzuu Hseng S.
AU - Tsai, Shun Hung
N1 - Funding Information:
Manuscript received September 11, 2005; revised July 2, 2006. This work was supported by the National Science Council of Taiwan, R.O.C., under Grant NSC95-2221-E-006-363-MY2. The authors are with the IC S Laboratory, the Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C. (e-mail: [email protected]). Digital Object Identifier 10.1109/TFUZZ.2006.889964
PY - 2007/6
Y1 - 2007/6
N2 - This paper proposes a fuzzy bilinear model for a class of nonlinear systems and a fuzzy controller to stabilize such systems. By examination of a modeling problem, we describe how to transform a nonlinear system into a bilinear one via Taylor's series expansion and then we adopt the Takagi-Sugeno (T-S) fuzzy modeling technique to construct a fuzzy bilinear model. For controller design, the parallel distributed compensation (PDC) method is utilized to stabilize the fuzzy bilinear system (FBS), and some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs). Moreover, we propound some sufficient conditions for robust stabilization of the FBS with parametric uncertainties. Finally, a numerical example and the Van de Vusse model are utilized to demonstrate the validity and effectiveness of the proposed FBS.
AB - This paper proposes a fuzzy bilinear model for a class of nonlinear systems and a fuzzy controller to stabilize such systems. By examination of a modeling problem, we describe how to transform a nonlinear system into a bilinear one via Taylor's series expansion and then we adopt the Takagi-Sugeno (T-S) fuzzy modeling technique to construct a fuzzy bilinear model. For controller design, the parallel distributed compensation (PDC) method is utilized to stabilize the fuzzy bilinear system (FBS), and some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs). Moreover, we propound some sufficient conditions for robust stabilization of the FBS with parametric uncertainties. Finally, a numerical example and the Van de Vusse model are utilized to demonstrate the validity and effectiveness of the proposed FBS.
UR - https://www.scopus.com/pages/publications/34250868933
UR - https://www.scopus.com/inward/citedby.url?scp=34250868933&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2006.889964
DO - 10.1109/TFUZZ.2006.889964
M3 - Article
AN - SCOPUS:34250868933
SN - 1063-6706
VL - 15
SP - 494
EP - 506
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 3
ER -