Title :
Stability analysis of continuous-time recurrent fuzzy systems
Author :
Schwung, Andreas ; Gubner, T. ; Adamy, Jürgen
Author_Institution :
Control Theor. & Robot. Lab., Tech. Univ. Darmstadt, Darmstadt, Germany
Abstract :
In this paper, we present a new approach for the stability analysis of continuous-time recurrent fuzzy systems (CTRFS). The approach is based on the representation of a CTRFS as a switched polynomial system, for which a Lyapunov function is constructed in a two step procedure. Both steps are based on semidefinite programming. The applicability is shown by an ecological system formulated as a rule based structure.
Keywords :
Lyapunov methods; continuous time systems; fuzzy control; mathematical programming; polynomials; stability; Lyapunov function; continuous-time recurrent fuzzy system; ecological system; rule based structure; semidefinite programming; stability analysis; switched polynomial system; Automatic control; Control theory; Fuzzy systems; Lyapunov method; Pattern recognition; Polynomials; Robotics and automation; Stability analysis; Stability criteria; Switched systems;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277147
