Open AccessInput‐to‐state stability for discrete‐time non‐linear switched singular systems
Author(s) -
Lian Jie,
Li Can,
Liu Dan
Publication year - 2017
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.2017.0028
Subject(s) - dwell time , control theory (sociology) , state (computer science) , stability (learning theory) , lyapunov function , discrete time and continuous time , class (philosophy) , computer science , linear system , mathematics , control (management) , algorithm , nonlinear system , physics , mathematical analysis , statistics , artificial intelligence , machine learning , medicine , clinical psychology , quantum mechanics
This study investigates the input‐to‐state stability (ISS) for a class of discrete‐time non‐linear switched singular systems. Two novel ISS criteria are proposed based on multiple Lyapunov functions method. In one case that all subsystems are input‐to‐state stable (ISS) but the system stability may be destroyed by the switching, the average dwell time switching algorithm is applied to guarantee the ISS of the whole system. In other case that all subsystems can be unstable, the state‐dependent switching rule is designed to stabilise the system and ensure the ISS of the switched singular system. Finally, simulation examples are provided to illustrate the feasibility of the obtained results.