Title :
Fractional-order adaptive fault estimation for a class of nonlinear fractional-order systems
Author :
N´Doye, Ibrahima ; Laleg-Kirati, Taous-Meriem
Author_Institution :
Comput., Electr. & Math. Sci. & Eng. Div. (CEMSE), King Abdullah Univ. of Sci. & Technol.(KAUST), Saudi Arabia
Abstract :
This paper studies the problem of fractional-order adaptive fault estimation for a class of fractional-order Lipschitz nonlinear systems using fractional-order adaptive fault observer. Sufficient conditions for the asymptotical convergence of the fractional-order state estimation error, the conventional integer-order and the fractional-order faults estimation error are derived in terms of linear matrix inequalities (LMIs) formulation by introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach where the fractional-order α belongs to 0 <; α <; 1. A numerical example is given to demonstrate the validity of the proposed approach.
Keywords :
Lyapunov methods; convergence; fault diagnosis; linear matrix inequalities; nonlinear systems; observers; LMI formulation; asymptotical convergence; continuous frequency distributed equivalent model; conventional integer-order; fractional-order Lipschitz nonlinear systems; fractional-order adaptive fault estimation; fractional-order adaptive fault observer; fractional-order fault estimation error; fractional-order state estimation error; indirect Lyapunov approach; linear matrix inequalities; sufficient conditions; Adaptive systems; Estimation error; Lyapunov methods; Nonlinear systems; Observers; Fractional-order nonlinear system; actuator fault; fractional-order adaptive fault estimation; indirect Lyapunov approach; linear matrix inequality (LMI); observer design;
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
DOI :
10.1109/ACC.2015.7171923