Decoupling and disturbance rejection

Author

Fabian, E. ; Wonham, W.M.

Author_Institution

Gellman, Hayward, and Partners, Toronto, Canada

Volume

Issue

fYear

1975

fDate

6/1/1975 12:00:00 AM

Firstpage

399

Lastpage

401

Abstract

For the linear multivariable system $\\dot{x} = Ax + Bu + Er, z_{i} = D_{i}x(i \\in k), x \\in X$ , with disturbance $\\Gamma (\\cdot)$ , it is shown that the decoupling problem and disturbance rejection problem are simultaneously solvable, so as to yield a stable closed-loop system, if and only if $\\Im (E)\\subset V_{g}^{*}$ and $R_{i}^{*} + \\ker D_{i} = X, i \\in k$ . Here $V_{g}^{*}$ and $R_{i}^{*}$ are subspaces uniquely defined by and constructible from the data $A, B, D_{i} i\\in k$ .

Keywords

Decoupling of systems; Linear systems, time-invariant continuous-time; Electrons; Erbium; MIMO; Notice of Violation; Optimal control; Regulators; Riccati equations; Steady-state; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1975.1100981

Filename

1100981

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=818892