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Robust sliding mode control approach for systems affected by unmatched uncertainties using H ∞ with pole clustering constraints
Author(s) -
Wajdi Saad,
Anis Sellami,
Garcia Germain
Publication year - 2014
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2147
Subject(s) - control theory (sociology) , robustness (evolution) , cluster analysis , parametric statistics , sliding mode control , norm (philosophy) , robust control , engineering , manifold (fluid mechanics) , control system , computer science , mathematics , control (management) , physics , nonlinear system , artificial intelligence , electrical engineering , quantum mechanics , mechanical engineering , biochemistry , chemistry , statistics , political science , law , gene
Summary In this paper, the problem of sliding mode control for a class of systems with unmatched parametric uncertainties and external perturbations is considered. LMI technique and polytopic models are used in the design of the switching surface. To achieve some performance requirements and good robustness, in the sliding mode, the H ∞ norm and the pole clustering method are investigated. Based on the unit vector control approach, a robust control is developed, then, to direct and maintain the system states onto the sliding manifold in finite time. Finally, the validity of the proposed design strategy is demonstrated through the simulation of the quarter‐car suspension system. Copyright © 2014 John Wiley & Sons, Ltd.