WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
Singular H∞ Finite-time Boundedness for a Class of Uncertain Singular Systems
Authors: Meng Liu, Yali Dong, Xinyue Tang
Abstract: This paper is concerned with the problem of observer-based finite-time H∞ control for a class of uncertain singular systems with norm-bounded uncertainties. We design a suitable observer and a controller to guarantee that the closed-loop is singular H∞ finite-time bounded. By constructing an appropriate Lyapunov function, and using matrix inequality technique, a sufficient condition for the singular H∞ finite-time boundedness of the closed-loop system is established. The observer and controller gains are designed based on matrix inequality. Two numerical examples are given to demonstrate the effectiveness of the proposed methods.
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Keywords: Singular H∞ V finite-time boundedness, uncertain singular system, observer-based feedback controller, norm-bounded uncertainty
Pages: 68-74
DOI: 10.37394/23202.2022.21.8
WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 21, 2022, Art. #8