Robust H2 control with regional stability constraints

Yuan Qing Xia; Jing Qing Han

Robust H₂ control with regional stability constraints

Yuan Qing Xia^*, Jing Qing Han

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

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

5 Citations (Scopus)

Abstract

The problem of static state feedback robust H₂ control with regional stability constraints for the closed-loop system is considered. Both continuous and discrete-time systems with polytopic uncertainty are investigated. A new LMI-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed. Static state feedback controllers required are not only guaranteed to satisfy all closed-loop poles to stay inside a specified region for all admissible parameter uncertainties, but also provide an upper bound for the H₂ cost function, which is minimized using LMI convex optimization approach.

Original language	English
Pages (from-to)	321-329
Number of pages	9
Journal	Zidonghua Xuebao/Acta Automatica Sinica
Volume	30
Issue number	3
Publication status	Published - May 2004
Externally published	Yes

Keywords

LMI
Optimization
Polytopic uncertainty
Robust control
Stability

Cite this

Xia, Y. Q., & Han, J. Q. (2004). Robust H₂ control with regional stability constraints. Zidonghua Xuebao/Acta Automatica Sinica, 30(3), 321-329.

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AB - The problem of static state feedback robust H2 control with regional stability constraints for the closed-loop system is considered. Both continuous and discrete-time systems with polytopic uncertainty are investigated. A new LMI-based sufficient condition for the existence of parameter-dependent Lyapunov functions is proposed. Static state feedback controllers required are not only guaranteed to satisfy all closed-loop poles to stay inside a specified region for all admissible parameter uncertainties, but also provide an upper bound for the H2 cost function, which is minimized using LMI convex optimization approach.

KW - LMI

KW - Optimization

KW - Polytopic uncertainty

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KW - Stability

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Robust H₂ control with regional stability constraints

Abstract

Keywords

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