Journal
SYSTEMS & CONTROL LETTERS
Volume 62, Issue 12, Pages 1143-1150Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sysconle.2013.09.007
Keywords
Fractional-order nonlinear system; Observer-based control; Singular value decomposition (SVD); Linear matrix inequality (LMI)
Funding
- National Natural Science Foundation of PR China [61104072, 11271309]
- Construct Program of the Key Discipline in Hunan Province
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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. (C) 2013 Elsevier B.V. All rights reserved.
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