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Finite‐time control and L 1 ‐gain analysis for positive switched systems
Author(s) -
Zhang Junfeng,
Han Zhengzhi,
Zhu Fubo
Publication year - 2014
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2129
Subject(s) - control theory (sociology) , stability (learning theory) , lyapunov function , mathematics , state (computer science) , high gain antenna , control (management) , computer science , nonlinear system , engineering , algorithm , physics , quantum mechanics , machine learning , artificial intelligence , electrical engineering
Summary This paper is concerned with finite‐time control and L 1 ‐gain analysis of positive switched systems. First, by using the multiple linear copositive Lyapunov functions approach, a sufficient condition for the finite‐time stability of autonomous systems under consideration is established. Second, the finite‐time boundedness with a weighted L 1 ‐gain performance of autonomous systems with uncertain disturbances is addressed. Furthermore, state‐feedback controllers guaranteeing the finite‐time stability and the finite‐time boundedness of non‐autonomous systems are constructed, respectively. Finally, an illustrative example is given to show the validity of the present design. Copyright © 2014 John Wiley & Sons, Ltd.