International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 1, Pages 43-56
doi:10.1155/IJMMS.2005.43
Stabilization of nonlinear discrete-time systems via a digital communication channel
V.N. Phat1
and J. Jiang2
1Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay, Hanoi 10307, Vietnam
2School of Electrical Engineering \& Telecommunications, University of New South Wales, Sydney 2052, Australia
Abstract
We deal with the stabilization problem for a class of nonlinear discrete-time systems via a digital communication channel. We consider the case when the control input is to be transmitted via communication channels with a bit-rate constraint. Under an appropriate growth condition on the nonlinear perturbation, we establish sufficient conditions for the global and local stabilizability of semilinear and nonlinear discrete-time systems, respectively. A constructive method to design a feedback stabilizing controller is proposed.