TY - GEN
T1 - Stabilization conditions of Takagi-Sugeno fuzzy systems based on the fuzzy Lyapunov functions under the imperfect premise matching
AU - Kim, Ho Jun
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2013
Y1 - 2013
N2 - This paper presents a novel stabilization conditions with imperfect premise matching method for nonlinear systems that are represented by the Takagi-Sugeno (T-S) fuzzy model. The term imperfect premise matching has the advantage that the fuzzy controller can be modelled simply by discordance between premise rules of the T-S fuzzy model and those of fuzzy controller. For this reason, the fuzzy controller guaranteed the design flexibility result in decreasing the structural complexity of the fuzzy system. Also, the modified fuzzy Lyapunov function is employed for reducing the conservativeness in controller design and easing the restriction of the conventional fuzzy Lyapunov function. The sufficient conditions for the stabilization of the T-S fuzzy system are derived in terms of the linear matrix inequalities (LMIs). The numerical example is simulated to show the feasibility and effectiveness of the proposed method.
AB - This paper presents a novel stabilization conditions with imperfect premise matching method for nonlinear systems that are represented by the Takagi-Sugeno (T-S) fuzzy model. The term imperfect premise matching has the advantage that the fuzzy controller can be modelled simply by discordance between premise rules of the T-S fuzzy model and those of fuzzy controller. For this reason, the fuzzy controller guaranteed the design flexibility result in decreasing the structural complexity of the fuzzy system. Also, the modified fuzzy Lyapunov function is employed for reducing the conservativeness in controller design and easing the restriction of the conventional fuzzy Lyapunov function. The sufficient conditions for the stabilization of the T-S fuzzy system are derived in terms of the linear matrix inequalities (LMIs). The numerical example is simulated to show the feasibility and effectiveness of the proposed method.
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M3 - Conference contribution
AN - SCOPUS:84883524739
SN - 9781479901777
T3 - Proceedings of the American Control Conference
SP - 5643
EP - 5647
BT - 2013 American Control Conference, ACC 2013
T2 - 2013 1st American Control Conference, ACC 2013
Y2 - 17 June 2013 through 19 June 2013
ER -