Open AccessDwell‐time approach to ℒ 2 ‐induced gain analysis of discrete‐time switched systems subject to actuator saturation
Author(s) -
Zhai Shidong,
Yang XiaoSong
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.2012.0508
Subject(s) - dwell time , control theory (sociology) , actuator , discrete time and continuous time , upper and lower bounds , linear system , saturation (graph theory) , mathematics , state (computer science) , computer science , algorithm , control (management) , statistics , medicine , clinical psychology , mathematical analysis , combinatorics , artificial intelligence
This study investigates ℒ 2 ‐induced gain from the input disturbance to output of discrete‐time switched linear systems subject to actuator saturation. With the state feedback gains adopted beforehand, the authors establish the linear matrix inequalities formulation which estimates the restricted ℒ 2 ‐induced gain for this class of switched systems by dwell‐time approach. Then the authors investigate the influence of parameter variations on the restricted ℒ 2 ‐induced gain, and present a state feedback design method for a fixed dwell time and an upper bound of restricted ℒ 2 ‐induced gain. In addition, the authors investigate the qualitative relationship between disturbances rejection capability and dwell time. A numerical example is provided to illustrate the effectiveness of our obtained results.