Stabilization of time-varying linear system using a new time-varying eigenvalue assignment technique

Author

Zhu, J. ; Johnson, C.D. ; Thompson, P. ; Wendt, R.

Author_Institution

Dept. of Electr. & Comput. Eng., Alabama Univ., Huntsville, AL, USA

fYear

1990

fDate

1-4 Apr 1990

Firstpage

212

Abstract

A unified (time-varying) eigenvalue theory was developed for linear time-varying systems of the form y⁽ⁿ⁾+α _n(t)y^(n-1)+...+α₂(t)y+α₁(t)y= u. The theory is used to develop a new breed of self-tuning adaptive controller based on the assignment of a certain kind of mean value for the unified time-varying eigenvalues in the complex plane. Detailed design procedures for general second-order time-varying linear systems are presented, and some simulation results are shown. Comparisons of the new controller with other control techniques for time-varying linear systems, such as those based on optimal control, adaptive control, and frozen-time eigenvalue techniques, are also discussed. Based on the simulation results presented, the new controller appears to be very powerful, and easy to master

Keywords

adaptive control; eigenvalues and eigenfunctions; linear systems; self-adjusting systems; stability; time-varying systems; frozen-time eigenvalue techniques; optimal control; self-tuning adaptive controller; stabilisation; time-varying eigenvalue assignment technique; time-varying linear system; Asymptotic stability; Circuit stability; Control systems; Eigenvalues and eigenfunctions; Linear systems; Nonlinear equations; Riccati equations; Stability criteria; Superluminescent diodes; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon '90. Proceedings., IEEE

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/SECON.1990.117803

Filename

117803