Paper Info
Title
Sampled-Data Control of Nonlinear Oscillations Based on LMIs and Fridman's Method.
Abstract
Emilia Fridman's method based on time-dependent Lyapunov-Krasovsii functionals is extended to nonlinear control systems with sector bounded nonlinearity. Furthermore, this paper considers sampled-data feedback control under uncertain sampling with the known upper bound on the sampling intervals, where the control function is multiplied by bounded scalar nonlinear function in system equation. This special case corresponds to many oscillator control systems, for example, cart-pendulum system. The problem is reduced to feasibility analysis of linear matrix inequalities based on classical results of V.A. Yakubovich about S-procedure.
Year
DOI
Venue
2013
10.3182/20130703-3-FR-4039.00024
IFAC Proceedings Volumes
Keywords
Field
DocType
nonlinear control systems,oscillators,sampled-data control,LMI
Applied mathematics,Nonlinear system,Nonlinear Oscillations,Control theory,Matrix (mathematics),Upper and lower bounds,Nonlinear control,Sampling (statistics),Control system,Mathematics,Bounded function
Conference
Volume
Issue
ISSN
46
12
1474-6670
Citations 
PageRank 
References 
2
0.58
8
Authors
2
Name
Order
Citations
PageRank
Ruslan Seifullaev1112.60
Alexander L. Fradkov245078.94