Open AccessFeedback control for switched positive linear systems
Author(s) -
Zhang Junfeng,
Han Zhengzhi,
Zhu Fubo,
Huang 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.2012.0428
Subject(s) - control theory (sociology) , dwell time , linear system , lyapunov function , state (computer science) , linear control systems , stability theory , linear programming , control (management) , feedback control , class (philosophy) , output feedback , control system , computer science , mathematics , control engineering , mathematical optimization , nonlinear system , engineering , algorithm , mathematical analysis , artificial intelligence , medicine , clinical psychology , physics , electrical engineering , quantum mechanics
This study investigates the feedback control for a class of switched positive linear systems (SPLSs). By means of the linear programming approach, output‐feedback and state‐feedback controllers for the underlying systems with average dwell time are designed, respectively. Under these controllers, the closed‐loop systems are positive and asymptotically stable. These results obtained provide a way to solve the control synthesis problems of SPLSs by multiple linear copositive Lyapunov functions. Finally, an example is given to illustrate the validity of the present design.