Title :
Robust stability for two kinds of uncertain fractional-order systems with structured and unstructured uncertainties
Author :
Zhuang, Jiao ; Yisheng, Zhong
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
Robust stability for two types of uncertain fractional-order systems of order α ϵ (0, 1) is dealt with in this paper. For the polytope-type uncertainty case, a less conservative sufficient condition of robust stability is given; for the norm-bounded uncertainty case, a sufficient and necessary condition of robust stability is presented. Both of these conditions can be checked by solving linear matrix inequalities.
Keywords :
geometry; linear matrix inequalities; robust control; uncertain systems; linear matrix inequalities; norm-bounded uncertainty; polytope-type uncertainty; robust stability; structured uncertainty; sufficient and necessary condition; uncertain fractional-order system; unstructured uncertainty; Asymptotic stability; Control systems; Linear matrix inequalities; Robust stability; Robustness; Symmetric matrices; Uncertainty; Fractional-order system; Norm-bounded uncertainty; Polytope-type uncertainty; Robust stability;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
