Vibrational control of nonlinear time lag systems with arbitrarily large but bounded delay: averaging theory, stabilizability, and transient behavior

Author

Lehman, Brad ; Bentsma, Joseph ; Lunel, Sjoerd Verduyn ; Verriest, Erik I.

Author_Institution

Dept. of Electr. Comput. Eng., Mississippi St. Univ., MS, USA

fYear

1992

fDate

1992

Firstpage

1287

Abstract

The authors develop the theory of vibrational control of nonlinear time lag systems with arbitrarily large but bounded delay. The averaging theory for fast oscillating differential delay equations is presented and then applied to vibrational control. Conditions are given which ensure the existence of parametric vibrations that stabilize nonlinear time lag systems. Transient behavior is also discussed. Illustrative examples are given which show (1) the feasibility of the theory for important applications and (2) the differences in the theory presented and the known theory for vibrational control of ordinary differential equations

Keywords

delay-differential systems; delays; nonlinear control systems; stability; vibration control; averaging theory; bounded delay; fast oscillating differential delay equations; nonlinear time lag systems; ordinary differential equations; stabilizability; transient behavior; vibrational control; Calculus; Chemical reactors; Control systems; Control theory; Delay effects; Differential equations; Nonlinear control systems; Nonlinear equations; Transient analysis; Vibration control; Yttrium;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371507

Filename

371507