Open AccessSimple adaptive robust control schemes of uncertain strict‐feedback non‐linear time‐delay systems
Author(s) -
Wu Hansheng
Publication year - 2017
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.2017.0220
Subject(s) - control theory (sociology) , simple (philosophy) , robust control , adaptive control , linear system , state (computer science) , computer science , upper and lower bounds , control (management) , mathematics , control system , algorithm , engineering , mathematical analysis , philosophy , epistemology , artificial intelligence , electrical engineering
The main purpose of this study is to present a simple design method to synthesise the adaptive robust controllers for a class of uncertain strict‐feedback non‐linear systems with delayed state perturbations and external disturbances. In this study, such a simple design method is presented so that (i) the presented design method is easy to understand for the system designers; (ii) it is not necessary to know any information on the upper bound functions of non‐linear delayed state perturbations and the non‐linear functions due to the derivatives of the fictitious control functions to construct some state feedback control schemes; and (iii) the resulting adaptive robust control schemes are simple and easy to implement in practical engineering control problems. The adaptive robust controllers synthesised by the presented design method have a rather simple structure, and can guarantee the uniform exponential boundedness of the considered uncertain strict‐feedback non‐linear time‐delay systems. A numerical example is provided to illustrate the authors' simple design procedure and the corresponding simulations are made to demonstrate the validity of the theoretical results.