Paper Info
Title
Piecewise Fuzzy Model Construction And Controller Design Based On Piecewise Lyapunov Function
Abstract
This paper presents piecewise fuzzy model construction divided by arbitrary affine hyper-planes and controller design based on the so-called piecewise Lyapunov function. In our previous papers, we proposed the switching fuzzy model construction method with arbitrary dividing hyper-planes. However, we assumed that the dividing planes contain the origin, that is, linear hyper-planes in the papers. In this paper, we propose piecewise fuzzy model construction method with arbitrary dividing hyper-planes which are permitted not to pass through the origin. We can obtain sectors which can cover nonlinear dynamics more tightly than ordinary method. By utilizing continuity matrices which are constructed from coefficients of dividing hyper-planes, we construct piecewise fuzzy model which is continuous on boundaries of divided regions caused by dividing planes. Moreover, we derive controller design conditions based on the so-called piecewise Lyapunov function in terms of LMIs.
Year
DOI
Venue
2007
10.1109/ACC.2007.4283058
2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13
Keywords
DocType
ISSN
lyapunov function,linear matrix inequality,nonlinear dynamics,fuzzy control
Conference
0743-1619
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Hiroshi Ohtake159539.22
Kazuo Tanaka240840.44
Hua O Wang31139135.28