Title :
Backstepping time-scale separation redesign for stabilization of a class of nonlinear systems with matched and unmatched uncertainties
Author :
Pourdehi, S. ; Khayatiyan, Alireza
Author_Institution :
Sch. of Electr. & Comput. Eng., Shiraz Univ., Shiraz, Iran
Abstract :
In this paper, a state-feedback controller is proposed for stabilization of a class of nonlinear systems in the presence of matched and unmatched uncertainties via backstepping method. Based on Lyapunov stability theorem, sufficient conditions for stabilization of the output of the system are achieved. To deal with the existence of uncertainties, high-gain filters are designed, which estimate the uncertainties, using singular perturbation theory. Finally, a numerical simulation is presented to show the effectiveness of the proposed control scheme.
Keywords :
Lyapunov methods; filtering theory; nonlinear control systems; numerical analysis; singularly perturbed systems; stability; state feedback; Lyapunov stability theorem; backstepping time-scale separation redesign; high-gain filters; matched uncertainties; nonlinear systems; numerical simulation; singular perturbation theory; stabilization; state-feedback controller; uncertainty estimation; unmatched uncertainties; Backstepping; Equations; Lyapunov methods; Mathematical model; Nonlinear systems; Robustness; Uncertainty; Nonlinear control; backstepping; time-scale separation; unmatched uncertainty;
Conference_Titel :
Electrical Engineering (ICEE), 2013 21st Iranian Conference on
Conference_Location :
Mashhad
DOI :
10.1109/IranianCEE.2013.6599771
