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Stabilization of Non‐Linear Fractional‐Order Uncertain Systems
Author(s) -
Ji Yude,
Du Mingxing,
Guo Yanping
Publication year - 2018
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.1580
Subject(s) - singular value decomposition , nonlinear system , control theory (sociology) , mathematics , fractional order system , lyapunov function , singular value , order (exchange) , robust control , linear system , matrix (chemical analysis) , mathematical optimization , computer science , fractional calculus , algorithm , control (management) , mathematical analysis , eigenvalues and eigenvectors , artificial intelligence , physics , materials science , finance , quantum mechanics , economics , composite material
In this paper, we present a stabilization method on the non‐linear fractional‐order uncertain systems. Firstly, a sufficient condition for the robust asymptotic stabilization of the non‐linear fractional‐order uncertain system is presented based on direct Lyapunov approach. Secondly, utilising the matrix's singular value decomposition (SVD) method, the systematic robust stabilization design algorithm is then proposed. Finally, two numerical examples are provided to illustrate the efficiency and advantage of the proposed algorithm.