Dwell‐time approach to ℒ 2  ‐induced gain analysis of discrete‐time switched systems subject to actuator saturation | Zendy

Zhai Shidong | Zendy; Yang XiaoSong | Zendy

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Dwell‐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) - control theory (sociology) , dwell time , actuator , saturation (graph theory) , discrete time and continuous time , computer science , mathematics , control (management) , statistics , psychology , artificial intelligence , clinical psychology , combinatorics

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.

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