Open AccessSeparation principle for discrete‐time quasi‐one‐sided Lipschitz nonlinear systems
Author(s) -
Dong Wenqiang,
Hu GuangDa,
Cong Yuhao
Publication year - 2021
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/cth2.12043
Subject(s) - lipschitz continuity , control theory (sociology) , separation principle , observer (physics) , nonlinear system , mathematics , quadratic equation , discrete time and continuous time , controller (irrigation) , state (computer science) , full state feedback , state observer , computer science , control (management) , mathematical analysis , algorithm , physics , geometry , artificial intelligence , statistics , quantum mechanics , agronomy , biology
This paper is concerned with output stabilisation for a class of discrete‐time quasi‐one‐sided Lipschitz nonlinear systems. Firstly, an observer is designed for estimating the state of the systems in terms of quasi‐one‐sided Lipschitz condition and quadratic inner‐boundness condition. Then, a state feedback controller is proposed to stabilize the systems. Subsequently, it is shown that the separation principle holds for stabilisation of the discrete‐time nonlinear systems based on the observer‐based controller. Under the quasi‐one‐sided Lipschitz condition, the state observer and feedback controller can be designed separately, even though the parameter ( A , B ) of discrete‐time systems is not stabilisable and parameter ( A , C ) is not detectable. Finally, two numerical examples are given to indicate the feasibility of the main results.