On the representation and the stability study of large scale systems

被引:0
作者
Borne, Pierre [1 ]
Benrejeb, Mohamed [2 ]
机构
[1] Ecole Cent Lille, LAGIS, F-59651 Villeneuve Dascq, France
[2] Ecole Natl Ingn Tunis, LARA, Tunis Le Belvedcre, Tunisia
关键词
continuous large scale systems; stability; Borne-Gentina criterion; multimodel control system; TSK fuzzy model; Benrejeb arrow form matrix; NONLINEAR-SYSTEMS; FUZZY CONTROL; DESIGN;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Aggregation techniques, associated to Lyapunov functions or to vector norms, enable to conclude to large scale systems stability if their less or equal order comparison systems are stable. Linear conjecture is then satisfied if the comparison system is identical to the system itself. Practical Borne-Gentina stability criterion, applied to continuous systems, generalizes the use of Kotelyanski lemma for non linear systems and defines large classes of processes for which linear Aizerman conjecture is satisfied. The stability approach is applied for multimodel control systems and for TSK fuzzy models when Benrejeb arrow form characteristic matrix is used.
引用
收藏
页码:55 / 66
页数:12
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