OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS.

B. D.O. Anderson; N. K. Bose; E. I. Jury

OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS.

B. D.O. Anderson^*, N. K. Bose, E. I. Jury

^*Corresponding author for this work

School of Engineering

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

Abstract

Given an unstable finite-dimensional linear system, the output feedback problem is, first, to decide whether it is possible by memoryless linear feedback of the output to stabilize the system, and, second, to determine a stabilizing feedback law if such exists. The paper shows how this and a number of other linear system theory problems can be simply reformulated so as to allow application of known algorithms for their solution. The first part of the output feedback problem is solvable with a finite number of rational operations, and the second with a finite number of polynomial factorizations. Other areas of application of the algorithm are described: multivariable stability and positivity tests, inverse stability problems, low order observer and controller design, and nonlinear programming. An alternative computational procedure is proposed for tackling such problems directly.

Original language	English
Pages	164-171
Number of pages	8
Publication status	Published - 1974
Event	Jt Autom Control Conf, 15th, Proc - Austin, TX, USA Duration: 18 Jun 1974 → 21 Jun 1974

Conference

Conference	Jt Autom Control Conf, 15th, Proc
City	Austin, TX, USA
Period	18/06/74 → 21/06/74

Cite this

@conference{60ca64c96f17449ebfc50a632d8cda35,

title = "OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS.",

abstract = "Given an unstable finite-dimensional linear system, the output feedback problem is, first, to decide whether it is possible by memoryless linear feedback of the output to stabilize the system, and, second, to determine a stabilizing feedback law if such exists. The paper shows how this and a number of other linear system theory problems can be simply reformulated so as to allow application of known algorithms for their solution. The first part of the output feedback problem is solvable with a finite number of rational operations, and the second with a finite number of polynomial factorizations. Other areas of application of the algorithm are described: multivariable stability and positivity tests, inverse stability problems, low order observer and controller design, and nonlinear programming. An alternative computational procedure is proposed for tackling such problems directly.",

author = "Anderson, {B. D.O.} and Bose, {N. K.} and Jury, {E. I.}",

year = "1974",

language = "English",

pages = "164--171",

note = "Jt Autom Control Conf, 15th, Proc ; Conference date: 18-06-1974 Through 21-06-1974",

}

TY - CONF

T1 - OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS.

AU - Anderson, B. D.O.

AU - Bose, N. K.

AU - Jury, E. I.

PY - 1974

Y1 - 1974

N2 - Given an unstable finite-dimensional linear system, the output feedback problem is, first, to decide whether it is possible by memoryless linear feedback of the output to stabilize the system, and, second, to determine a stabilizing feedback law if such exists. The paper shows how this and a number of other linear system theory problems can be simply reformulated so as to allow application of known algorithms for their solution. The first part of the output feedback problem is solvable with a finite number of rational operations, and the second with a finite number of polynomial factorizations. Other areas of application of the algorithm are described: multivariable stability and positivity tests, inverse stability problems, low order observer and controller design, and nonlinear programming. An alternative computational procedure is proposed for tackling such problems directly.

AB - Given an unstable finite-dimensional linear system, the output feedback problem is, first, to decide whether it is possible by memoryless linear feedback of the output to stabilize the system, and, second, to determine a stabilizing feedback law if such exists. The paper shows how this and a number of other linear system theory problems can be simply reformulated so as to allow application of known algorithms for their solution. The first part of the output feedback problem is solvable with a finite number of rational operations, and the second with a finite number of polynomial factorizations. Other areas of application of the algorithm are described: multivariable stability and positivity tests, inverse stability problems, low order observer and controller design, and nonlinear programming. An alternative computational procedure is proposed for tackling such problems directly.

UR - http://www.scopus.com/inward/record.url?scp=0016367979&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:0016367979

SP - 164

EP - 171

T2 - Jt Autom Control Conf, 15th, Proc

Y2 - 18 June 1974 through 21 June 1974

ER -

OUTPUT FEEDBACK STABILIZATION AND RELATED PROBLEMS - SOLUTION VIA DECISION METHODS.

Abstract

Conference

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