Optimal guaranteed cost control of discrete-time uncertain linear systems

Ian R. Petersen; Duncan C. Mcfarlane; Mario A. Rotea

doi:10.1002/(SICI)1099-1239(19980715)8:8<649::AID-RNC334>3.0.CO;2-6

Optimal guaranteed cost control of discrete-time uncertain linear systems

Ian R. Petersen^*
, Duncan C. Mcfarlane
, Mario A. Rotea

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

100 Citations (Scopus)

Abstract

This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.

Original language	English
Pages (from-to)	649-657
Number of pages	9
Journal	International Journal of Robust and Nonlinear Control
Volume	8
Issue number	8
DOIs	https://doi.org/10.1002/(SICI)1099-1239(19980715)8:8<649::AID-RNC334>3.0.CO;2-6
Publication status	Published - 1998
Externally published	Yes

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10.1002/(SICI)1099-1239(19980715)8:8<649::AID-RNC334>3.0.CO;2-6

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title = "Optimal guaranteed cost control of discrete-time uncertain linear systems",

abstract = "This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.",

keywords = "Guaranteed cost control, LMI problems, Quadratic stabilizability, Robust performance",

author = "Petersen, \{Ian R.\} and Mcfarlane, \{Duncan C.\} and Rotea, \{Mario A.\}",

note = "{\textcopyright}1998 The authors ",

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T1 - Optimal guaranteed cost control of discrete-time uncertain linear systems

AU - Petersen, Ian R.

AU - Mcfarlane, Duncan C.

AU - Rotea, Mario A.

PY - 1998

Y1 - 1998

N2 - This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.

AB - This paper considers the problem of constructing a controller which quadratically stabilizes an uncertain system and minimizes a guaranteed cost bound on a quadratic cost function. The solution is obtained via a parameter-dependent linear matrix inequality problem.

KW - Guaranteed cost control

KW - LMI problems

KW - Quadratic stabilizability

KW - Robust performance

UR - https://www.scopus.com/pages/publications/0032119201

U2 - 10.1002/(SICI)1099-1239(19980715)8:8<649::AID-RNC334>3.0.CO;2-6

DO - 10.1002/(SICI)1099-1239(19980715)8:8<649::AID-RNC334>3.0.CO;2-6

M3 - Article

SN - 1049-8923

VL - 8

SP - 649

EP - 657

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 8

ER -

Optimal guaranteed cost control of discrete-time uncertain linear systems

Abstract

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