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Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics
Author(s) -
Pisano A.,
Rapaić M. R.,
Jeličić Z. D.,
Usai E.
Publication year - 2010
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1565
Subject(s) - control theory (sociology) , sliding mode control , controller (irrigation) , multivariable calculus , mode (computer interface) , robust control , lyapunov function , linear fractional transformation , computer science , transformation (genetics) , mathematics , nonlinear system , control (management) , control engineering , engineering , physics , artificial intelligence , biochemistry , chemistry , quantum mechanics , gene , agronomy , biology , operating system
Sliding mode control approaches are developed to stabilize a class of linear uncertain fractional‐order dynamics. After making a suitable transformation that simplifies the sliding manifold design, two sliding mode control schemes are presented. The first one is based on the conventional discontinuous first‐order sliding mode control technique. The second scheme is based on the chattering‐free second‐order sliding mode approach that leads to the same robust performance but using a continuous control action. Simple controller tuning formulas are constructively developed along the paper by Lyapunov analysis. The simulation results confirm the expected performance. Copyright © 2010 John Wiley & Sons, Ltd.