Open AccessGlobal stabilisation of a class of feedforward systems with distributed delays
Author(s) -
Liu Qingrong,
Liang Zhishan
Publication year - 2015
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.2014.0362
Subject(s) - feed forward , control theory (sociology) , controller (irrigation) , stability (learning theory) , class (philosophy) , computer science , transformation (genetics) , lyapunov stability , state (computer science) , linear system , lyapunov function , control engineering , full state feedback , control (management) , mathematics , nonlinear system , engineering , algorithm , artificial intelligence , mathematical analysis , agronomy , biochemistry , chemistry , physics , machine learning , quantum mechanics , gene , biology
In this study, both state feedback control and output feedback control design schemes are considered for a class of feedforward non‐linear systems with distributed delays. First, by using the state transformation of non‐linear systems, the problem of designing controller can be converted into that of designing a dynamic parameter, which is dynamically regulated by a dynamic equation. Then, the dynamic equation is delicately constructed by appraising the non‐linear terms of the given systems. At last, with the help of Lyapunov stability theorem, it is provided the stability analysis for the closed‐loop system consisting of the designed controller and the given systems. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.