Open AccessOutput tracking control for a class of switched non‐linear systems with partial state constraints
Author(s) -
Niu Ben,
Zhao Jun
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.2012.0368
Subject(s) - control theory (sociology) , bounded function , tracking (education) , mathematics , controller (irrigation) , state (computer science) , domain (mathematical analysis) , class (philosophy) , lyapunov function , linear system , function (biology) , control (management) , computer science , nonlinear system , algorithm , artificial intelligence , mathematical analysis , psychology , pedagogy , physics , quantum mechanics , evolutionary biology , agronomy , biology
In this study, we deal with the output tracking control problem for a class of switched non‐linear systems in lower triangular form subject to constraints on the states. To prevent states from transgressing the constraints, we employ a barrier Lyapunov function (BLF), which grows to infinity when its arguments approach domain boundaries. Based on the simultaneous domination assumption, we design a continuous feedback controller for the switched system. Furthermore, we show that asymptotic tracking is achieved without violation of the constraints and all closed‐loop signals remain bounded, when a mild requirement on the initial values is imposed. Finally, the effectiveness of the proposed results is demonstrated using two simulation examples.