Open AccessStability and stabilisation for switched impulsive positive systems
Author(s) -
Du Shengli,
Dong Jiangtao,
Wang Yuee
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/cth2.12085
Subject(s) - control theory (sociology) , dwell time , stability (learning theory) , controller (irrigation) , piecewise , constraint (computer aided design) , attenuation , lyapunov function , computation , mode (computer interface) , computer science , mathematics , piecewise linear function , function (biology) , mathematical optimization , control (management) , algorithm , nonlinear system , medicine , clinical psychology , mathematical analysis , physics , geometry , optics , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , agronomy , biology , operating system
The current study is dedicated to addressing the stability and weighted L 1 ‐gain performance analysis of switched impulsive positive systems (SIPSs). Firstly, by designing a novel multiple piecewise‐continuous copositive linear Lyapunov function and using the mode‐dependent average dwell time (MDADT) switching method, improved stability conditions that are able to achieve a tighter dwell time bound are developed. It is shown that the system under study is stable and possesses an attenuation property under the designed switching signals. Secondly, with the above stability conditions, a more effective controller design strategy has been proposed. The solved controllers are both quasi‐time dependent and mode‐dependent. Moreover, the constraint on the rank of the controller and the computation burden caused by iteration algorithm used in literature are relaxed. Finally, the feasibility and superiority of the proposed strategies are verified by some simulations.