Open AccessGlobal sampled‐data output feedback stabilisation of a class of upper‐triangular systems with input delay
Author(s) -
Du Haibo,
Qian Chunjiang,
He Yigang,
Cheng Yingying
Publication year - 2013
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.2012.0847
Subject(s) - control theory (sociology) , observer (physics) , bounded function , output feedback , controller (irrigation) , triangular matrix , computer science , lyapunov function , mathematics , nonlinear system , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , pure mathematics , agronomy , invertible matrix , biology
This study investigates the problem of designing a sampled‐data output feedback controller to globally stabilise a class of upper‐triangular systems with delay in the input. By using a linear observer, a linear dynamic sampled‐data output feedback control law is explicitly constructed. To dominate the unknown non‐linear perturbing terms and handle the case with a larger input delay, a tunable scaling gain is introduced to the controller by using a coordinates change. With the help of an appropriate Lyapunov–Krasoveskii functional and the technique of sampled‐data output‐feedback domination, it is shown that the considered upper‐triangular non‐linear system with any bounded input delay can be globally stabilised by the proposed controller with appropriate gains. Finally, an example is given to verify the efficiency of the proposed method.