Title :
Robust stability for uncertain fractional-order systems
Author :
Jiao Zhuang ; Zhong Yisheng
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
Robust stability is discussed for uncertain fractional-order systems, whose commensurate order α is assumed 1 <;; α <;; 2. Firstly, for fractional-order systems with polytope-type uncertainty, a sufficient condition for robust stability based on complex Lyapunov inequality is given. Secondly, for fractional-order systems with additive-type unstructured uncertainty, robust stability is analyzed also based on the complex Lyapunov inequality, and a sufficient and necessary condition is shown.
Keywords :
Lyapunov methods; control system synthesis; robust control; uncertain systems; additive-type unstructured uncertainty; complex Lyapunov inequality; polytope-type uncertainty; robust stability; uncertain fractional-order system; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mathematical model; Robust stability; Robustness; Stability analysis; Uncertainty; Additive-type Unstructured Uncertainty; Complex Lyapunov Inequality; Fractional-order System; Polytope-type Uncertainty; Robust Stability;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
