Design of strictly positive real, fixed-order dynamic compensators

Author

Jacobus, M. ; Jamshidi, M. ; Abdallah, C. ; Dorato, P. ; Bernstein, D.

Author_Institution

Sandia Nat. Lab., Albuquerque, NM, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

3492

Abstract

The authors present sufficient conditions for the design of strictly positive real (SPR), fixed-order dynamic compensators. The primary motivation for designing SPR compensators is for application to positive real (PR) plants. When an SPR compensator is connected to a PR plant in a negative feedback configuration, the closed loop is guaranteed stable for arbitrary plant variations as long as the plant remains PR. Equations that are a modified form of the optimal projection equations, with the separation principle not holding in either the full- or reduced-order case, are given. A solution to the design equations is shown to exist when the plant is PR (or just stable). Finally, the closed-loop system consisting of a PR plant and an SPR compensator is shown to be S-structured Lyapunov stable

Keywords

Lyapunov methods; closed loop systems; compensation; control system synthesis; feedback; stability; S-structured Lyapunov stable system; closed-loop system; fixed-order dynamic compensators; negative feedback configuration; strictly positive real compensators; Closed loop systems; Costs; Covariance matrix; Equations; Jacobian matrices; Laboratories; Negative feedback; Negative feedback loops; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203452

Filename

203452