Open AccessFinite‐time stabilisation for a class of nonlinear descriptor systems
Author(s) -
Li Meiqing,
Sun Liying
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5483
Subject(s) - control theory (sociology) , nonlinear system , parametric statistics , impulse (physics) , full state feedback , controller (irrigation) , mathematics , computer science , control (management) , artificial intelligence , physics , quantum mechanics , statistics , agronomy , biology
The finite‐time stabilisation, finite‐time H ∞control and finite‐time adaptive H ∞control problems for a class of nonlinear descriptor systems are studied. First, under a sufficient condition for the system impulse controllable, a finite‐time stabilised controller is designed by a suitable state feedback. Then, the finite‐time H ∞control and finite‐time adaptive H ∞control problems are considered for the nonlinear descriptor system with external disturbances and/or parametric perturbations, respectively. Compared with the existing results, there is no constraint for singular matrix E , therefore controllers can be designed for more nonlinear descriptor systems. Finally, an example of the nonlinear descriptor circuit system with simulations is applied to illustrate the effectiveness of the finite‐time controllers obtained in this study.