Limitation of Generalized Delayed Feedback Control for Discrete-Time Systems

Authors:	Tian Yu-Ping, Southeast University, China Zhu Jiandong, Southeast University, China
Topic:	2.1 Control Design
Session:	Time-Delay Systems II
Keywords:	Chaos; Time delay; Discrete-time systems; Pole assignment; Stabilizability

Abstract

In this paper, the stabilizability problem for chaotic discrete-time systems under the generalized elayed feedback control (GDFC) is addressed. A necessary and sufficient condition of stabilizability via m-step GDFC for an n-order system is proved. The condition reveals the limitation of GDFC more exactly than the odd number limitation. An analytical procedure of designing GDFC is proposed and illustrated by an example.