Title :
BIBO fuzzy stabilization of nonlinear systems under persistent perturbations
Author :
Salcedo, J.V. ; Martinez, M. ; Blasco, X. ; Sanchis, J.
Author_Institution :
Fac. of Ind. Eng., Tech. Univ. of Valencia, Valencia, Spain
Abstract :
In this work a method for designing parallel-distributed compensation fuzzy state-feedback controllers for BIBO stabilization of nonlinear systems affected by persistent disturbances is presented. First some methods proposed in the literature are analyzed and their weak points are discussed. Next a design scheme based on minimizing the 1-norm between the disturbance signal input and output is proposed. This minimization is carried out over an upper bound on this norm, the *-norm, which, unlike the 1-norm, can be formulated in terms of linear and bilinear matrix inequalities. Finally, this method is applied to a nonlinear mechanical system: a flexible joint mechanism.
Keywords :
compensation; control system synthesis; distributed control; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; state feedback; *-norm; 1-norm minimization; BIBO fuzzy stabilization; bilinear matrix inequalities; bounded input bounded output stabilization; disturbance signal input; disturbance signal output; flexible joint mechanism; linear matrix inequalities; nonlinear mechanical system; parallel-distributed compensation fuzzy state-feedback controller design; persistent perturbations; Asymptotic stability; Linear matrix inequalities; Mechanical systems; Minimization; Nonlinear systems; PD control; Vectors;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
