Robust strict positive realness synthesis for uncertainty systems with LMI approach

Gao Min Zhang; Ying Min Jia

Robust strict positive realness synthesis for uncertainty systems with LMI approach

Gao Min Zhang^*
, Ying Min Jia

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University

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

Abstract

This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.

Original language	English
Pages (from-to)	331-334
Number of pages	4
Journal	Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics
Volume	28
Issue number	3
State	Published - Jun 2002

Keywords

Linear matrix inequalities
Robustness
State feedback
Uncertain systems

Cite this

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AU - Jia, Ying Min

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AB - This paper is devoted to synthesizing a stabilizing feedback controller for a linear time-invariant plant with norm-bounded uncertain coefficient matrices so that the corresponding closed-loop system is robustly strictly positive real. Quadratic strict positive real system is defined first. Necessary and sufficient conditions for the system are then established. Finally, state-space formulas for the state feedback controller are given in terms of solutions to linear matrix inequalities. The feasibility of the proposed method is confirmed by a numerical example.

KW - Linear matrix inequalities

KW - Robustness

KW - State feedback

KW - Uncertain systems

UR - https://www.scopus.com/pages/publications/0036621673

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EP - 334

JO - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

JF - Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics

IS - 3

ER -

Robust strict positive realness synthesis for uncertainty systems with LMI approach

Abstract

Keywords

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