Non-fragile observer-based robust control for a class of fractional-order nonlinear systems

The paper is concerned with the problem of the observer-based robust control for a class of fractional-order nonlinear systems. First, by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for robust asymptotic stability of...

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Bibliographic Details
Published in:Systems & control letters 2013-12, Vol.62 (12), p.1143-1150
Main Authors: Lan, Yong-Hong, Zhou, Yong
Format: Article
Language:English
Subjects:
Asymptotic properties
Control systems
Dynamical systems
Equivalence
Fractional-order nonlinear system
Linear matrix inequality (LMI)
Mathematical models
Nonlinear dynamics
Observer-based control
Robust control
Singular value decomposition (SVD)
Stability
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Summary:The paper is concerned with the problem of the observer-based robust control for a class of fractional-order nonlinear systems. First, by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for robust asymptotic stability of the closed-loop system via state observer-based control is presented, which is less conservative than some existing ones in recent literature. Next, using matrix’s singular value decomposition (SVD) and linear matrix inequality (LMI) techniques, the existence condition and method of designing a robust non-fragile observer-based controller are derived. Finally, the validity of the proposed methods are demonstrated by two numerical examples.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2013.09.007