Exact control of linear systems with multiple controls

Author

Farlow, S.J.

Author_Institution

University of Maine, Orono, ME, USA

Volume

Issue

fYear

1985

fDate

8/1/1985 12:00:00 AM

Firstpage

825

Lastpage

827

Abstract

It is shown how the linear control system $\\dot{x} = Ax + Bu$ where $A$ and $B$ are $n \\times n$ and $n \\times m$ matrices, respectively, can be driven from an arbitrary initial condition $x(0) = x_{0} \\in E^{n}$ to an arbitrary final condition $x(T) = x_{f} \\in E^{n}$ by a vector $u = (u_{i})$ of piecewise constant controls $u_{i}(t)$ in an arbitrary time period $T$ . A simple algorithm for finding $u$ is given along with a worked example.

Keywords

Linear systems; Piecewise-constant approximation; Switched systems, linear; Control systems; Eigenvalues and eigenfunctions; Laplace equations; Linear systems; Mathematics; Strontium; Tin; Vectors;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1985.1104045

Filename

1104045

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=850061