An uncertainty averaging approach to optimal guaranteed cost control of uncertain systems with structured uncertainty

Andrey V. Savkin; Ian R. Petersen

doi:10.1016/0005-1098(95)00080-G

An uncertainty averaging approach to optimal guaranteed cost control of uncertain systems with structured uncertainty

Andrey V. Savkin
, Ian R. Petersen^*

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

This paper presents an optimal state feedback guaranteed cost control result for a class of uncertain linear time-varying systems with structured uncertainty. The cost function considered is a quadratic cost function defined over a finite time interval. The solution of the optimal control problem is obtained by solving a parametrized Riccati differential equation of the game type.

Original language	English
Pages (from-to)	1649-1653
Number of pages	5
Journal	Automatica
Volume	31
Issue number	11
DOIs	https://doi.org/10.1016/0005-1098(95)00080-G
Publication status	Published - Nov 1995
Externally published	Yes

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title = "An uncertainty averaging approach to optimal guaranteed cost control of uncertain systems with structured uncertainty",

abstract = "This paper presents an optimal state feedback guaranteed cost control result for a class of uncertain linear time-varying systems with structured uncertainty. The cost function considered is a quadratic cost function defined over a finite time interval. The solution of the optimal control problem is obtained by solving a parametrized Riccati differential equation of the game type.",

keywords = "Guaranteed cost control, H control, minimax optimal control, structured uncertainty, uncertain systems",

author = "Savkin, \{Andrey V.\} and Petersen, \{Ian R.\}",

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AU - Savkin, Andrey V.

AU - Petersen, Ian R.

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Y1 - 1995/11

N2 - This paper presents an optimal state feedback guaranteed cost control result for a class of uncertain linear time-varying systems with structured uncertainty. The cost function considered is a quadratic cost function defined over a finite time interval. The solution of the optimal control problem is obtained by solving a parametrized Riccati differential equation of the game type.

AB - This paper presents an optimal state feedback guaranteed cost control result for a class of uncertain linear time-varying systems with structured uncertainty. The cost function considered is a quadratic cost function defined over a finite time interval. The solution of the optimal control problem is obtained by solving a parametrized Riccati differential equation of the game type.

KW - Guaranteed cost control

KW - H control

KW - minimax optimal control

KW - structured uncertainty

KW - uncertain systems

UR - https://www.scopus.com/pages/publications/0029403681

U2 - 10.1016/0005-1098(95)00080-G

DO - 10.1016/0005-1098(95)00080-G

M3 - Article

AN - SCOPUS:0029403681

SN - 0005-1098

VL - 31

SP - 1649

EP - 1653

JO - Automatica

JF - Automatica

IS - 11

ER -

An uncertainty averaging approach to optimal guaranteed cost control of uncertain systems with structured uncertainty

Abstract

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