Open AccessRobust stabilisation for constrained discrete‐time switched positive linear systems with uncertainties
Author(s) -
Liu Jinjin,
Zhang Kanjian,
Pang Guochen,
Wei Haikun
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.2014.0808
Subject(s) - control theory (sociology) , linear system , interval (graph theory) , stability (learning theory) , robust control , mathematics , controller (irrigation) , discrete time and continuous time , computer science , mathematical optimization , control system , control (management) , engineering , combinatorics , artificial intelligence , machine learning , electrical engineering , biology , mathematical analysis , agronomy , statistics
Robust stabilisation problem of discrete‐time switched linear systems with bounds on the controls and states is investigated in this study. Firstly, the controller synthesis for systems with interval uncertainties which guarantees positivity and stability of the closed‐loop system is studied. These results are then extended to the systems with polytopic uncertainties. All the conditions are formulated in terms of linear feasibility. Finally, numerical examples illustrate the effectiveness of the proposed methods.