Paper Info
Title
Absolute Stabilization Of Discrete-Time Systems With A Sector Bounded Nonlinearity Under Control Saturations
Abstract
This paper presents some results on absolute stabilization of nonlinear discrete-time systems under control saturations. The studied control law consists of the feedback of both the states and of the nonlinearity present in the dynamics of the controlled system. Saturations are taken into account by modelling the nonlinear saturated system through deadzone nonlinearities satisfying a modified sector condition. Thus, as for continuous-time systems, LMI absolute stabilization conditions are proposed for the design of the feedback gains, both in the local and global stability contexts. Some relations of the proposed results with the dissipativity and passivity theory are included and a numerical example is reported.
Year
DOI
Venue
2006
10.1109/ISCAS.2006.1693282
2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS
Keywords
Field
DocType
symmetric matrices,nonlinear systems,stability,feedback control,control systems
Dead zone,Nonlinear system,Control theory,Passivity theory,Nonlinear dynamical systems,Discrete time and continuous time,Mathematics,Bounded function
Conference
ISSN
Citations 
PageRank 
0271-4302
8
0.74
References 
Authors
4
3
Name
Order
Citations
PageRank
E. B. Castelan1102.29
U. F. Moreno2204.23
E. R. De Pieri381.07