Title
Finite-time H∞ control for one-sided Lipschitz systems with auxiliary matrices.
Abstract
In this paper, finite-time H∞ control is investigated for a class of one-sided Lipschitz systems by using the Finsler׳s lemma. Finite-time boundedness conditions are firstly provided for the one-sided Lipschitz system. The proposed conditions are less conservative since a new Lyapunov function with an additional matrix is constructed, and auxiliary matrices are introduced to make the Lyapunov matrix separate from the system matrix. Then, finite-time H∞ controller is designed by dynamic output feedback. The observer gain and output feedback control gain can be designed in one step optimization. Further discussions and comparisons are also presented in two aspects. At last, numerical simulations are given to verify the validity of the proposed methods.
Year
DOI
Venue
2016
10.1016/j.neucom.2016.01.080
Neurocomputing
Keywords
Field
DocType
Finite-time stability,H∞ control,One-sided Lipschitz systems,LMI,Time-varying exogenous disturbances
Lyapunov function,Control theory,Matrix (mathematics),System matrix,Control theory,Lipschitz continuity,Observer (quantum physics),Lemma (mathematics),Mathematics,Finite time
Journal
Volume
Issue
ISSN
194
C
0925-2312
Citations 
PageRank 
References 
4
0.40
12
Authors
3
Name
Order
Citations
PageRank
Yuehua Huang120713.11
Shiqi Fu240.40
Yanjun Shen334429.43