PD-spectral theory for multivariable linear time-varying systems

Author

Zhu, J. Jim

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3908

Abstract

In this paper a recently developed differential algebraic spectral theory for scalar linear time-varying (LTV) systems is extended to the more general class of multivariable (MV) LTV systems. LTV counterparts of the left-half-plane stability criterion, PBH type controllability and observability tests, and stabilization and decoupling by eigenstructure assignment are developed. The results can be applied to nonlinear tracking and decoupling by trajectory linearization without resorting to ad hoc gain scheduling

Keywords

controllability; eigenstructure assignment; linear systems; multivariable systems; observability; spectral analysis; stability criteria; time-varying systems; controllability; decoupling; differential algebraic spectral theory; eigenstructure assignment; linear systems; multivariable systems; observability; parallel differential spectra; stability criterion; stabilization; time-varying systems; trajectory linearization; Controllability; Eigenvalues and eigenfunctions; Observability; Polynomials; Robust control; Stability analysis; Stability criteria; Testing; Time varying systems; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652473

Filename

652473