Open AccessStabilisation of switched positive systems with actuator saturation
Author(s) -
Wang Juan,
Zhao Jun
Publication year - 2016
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.2015.0064
Subject(s) - control theory (sociology) , actuator , convex hull , saturation (graph theory) , lyapunov function , state (computer science) , linear system , computer science , regular polygon , engineering , mathematics , control (management) , nonlinear system , physics , algorithm , combinatorics , artificial intelligence , mathematical analysis , geometry , quantum mechanics
This study focuses on the stabilisation problem of switched positive systems with actuator saturation. Through multiple linear co‐positive Lyapunov functions, the two cases of time‐dependent switching and state‐dependent switching are investigated for the first time. Sufficient conditions for stabilisation of the system are proposed under the state feedback controllers. In addition, the convex hull technique is employed to deal with actuator saturation. Finally, an application of the obtained results to the control of aero engines is proposed to demonstrate the validity.