Chaotifying a stable LTI system by tiny feedback control

Author

Wang, Xiao Fan ; Chen, Guanrong

Author_Institution

Dept. of Autom. Control, Nanjing Univ. of Sci. & Technol., China

Volume

47

Issue

3

fYear

2000

fDate

3/1/2000 12:00:00 AM

Firstpage

410

Lastpage

415

Abstract

The problem of making a stable linear time-invariant (LTI) system chaotic by using state-feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth or modulo function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. In fact, we mathematically prove that this controlled system is chaotic in the sense of Li and Yorke (1975)

Keywords

chaos; control system analysis; control system synthesis; linear systems; stability; state feedback; chaotic dynamics; feedback controller; linear time-invariant system; modulo function; positive Lyapunov exponents; sawtooth or module function; stable LTI system; state-feedback control; tiny feedback control; uniformly bounded state vectors; Analog integrated circuits; CMOS technology; Chaos; Circuit simulation; Circuit testing; Electrons; Feedback control; Filters; Solid state circuits; Switching circuits;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.841926

Filename

841926