A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems
作者： Dong Hwan Lee , Jin Bae Park , Young Hoon Joo
DOI: 10.1016/J.INS.2011.06.008
关键词: Mathematical optimization 、 Control theory 、 Linear matrix inequality 、 Compensation (engineering) 、 Stability conditions 、 Domain (software engineering) 、 Fuzzy control system 、 Attraction 、 Mathematics 、 Nonlinear system 、 Stability (learning theory)
摘要: This paper deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions controllers assess the stability. second relevant contribution a new strategy find an inner estimate of domain attraction (DA) via LMIs. results are based on Lyapunov functions (FLFs) non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate effectiveness merits proposed methods.
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