Local observer design for discrete-time TS systems
Author(s) -
Benoît Marx,
Zsófia Lendek
Publication year - 2017
Publication title -
ifac-papersonline
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 72
eISSN - 2405-8971
pISSN - 2405-8963
DOI - 10.1016/j.ifacol.2017.08.151
Subject(s) - observer (physics) , mathematics , quadratic equation , convergence (economics) , lyapunov function , discrete time and continuous time , control theory (sociology) , fuzzy logic , linear matrix inequality , mathematical optimization , computer science , nonlinear system , control (management) , artificial intelligence , statistics , physics , geometry , quantum mechanics , economics , economic growth
Published in IFAC-PapersOnLine 50(1):850-855, July 2017International audienceIn this paper, the problem of local observer design for discrete-time Takagi-Sugeno fuzzy systems is addressed. The observers being designed are local in the sense that relaxed asymptotic convergence conditions are sought locally, rather than globally, while also determining the region where the conditions are valid. The design conditions are derived using both quadratic and non-quadratic Lyapunov functions. The obtained results are expressed in terms of linear matrix inequalities and they are illustrated on a numerical example
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