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Full‐Order and Reduced‐order Observer Design for a Class of Fractional‐order Nonlinear Systems
Author(s) -
Lan YongHong,
Wang LiangLiang,
Ding Lei,
Zhou Yong
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1230
Subject(s) - control theory (sociology) , nonlinear system , lipschitz continuity , observer (physics) , mathematics , order (exchange) , fractional order system , exponential stability , stability (learning theory) , class (philosophy) , lyapunov function , fractional calculus , computer science , mathematical analysis , control (management) , physics , finance , quantum mechanics , artificial intelligence , machine learning , economics
The paper is concerned with problem of the full‐order and reduced‐order observer design for a class of fractional‐order one‐sided Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full‐order observer error dynamic system is presented. Furthermore, the proposed design method was extended to reduced‐order observer design for fractional‐order nonlinear systems. All the stability conditions are obtained in terms of LMI, which are less conservative than some existing ones. Finally, a numerical example demonstrates the validity of this approach.