Robust static and fixed-order dynamic output feedback control of discrete-time Lur'e systems

Kwang Ki Kevin Kim; Richard D. Braatz

doi:10.3182/20110828-6-IT-1002.01689

Robust static and fixed-order dynamic output feedback control of discrete-time Lur'e systems

Kwang Ki Kevin Kim, Richard D. Braatz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper considers the design of static and fixed-order dynamic output feedback controllers for discrete-time Lur'e systems with sector-bounded nonlinearities and polytopic parametric uncertainty. Controller design equations are derived for systems with multiple states, outputs, and nonlinearities in terms of linear matrix inequalities (LMIs). The design methods are based on parameter-dependent Lyapunov functions (PDLFs) combined with the latest in theoretical and iterative numerical methods for solving certain classes of nonconvex inequalities. The design methods are illustrated in several numerical examples.

Original language	English
Title of host publication	Proceedings of the 18th IFAC World Congress
Publisher	IFAC Secretariat
Pages	227-232
Number of pages	6
Edition	1 PART 1
ISBN (Print)	9783902661937
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.01689
State	Published - 2011
Externally published	Yes

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	44
ISSN (Print)	1474-6670

Bibliographical note

Funding Information:
★This work was supported by the National Science Foundation under Grant #0426328.

Keywords

Fixed-order dynamic output feedback control
Lur'e system
Parameter-dependent Lyapunov function
Robust control
Static output feedback control

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10.3182/20110828-6-IT-1002.01689

Cite this

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title = "Robust static and fixed-order dynamic output feedback control of discrete-time Lur'e systems",

abstract = "This paper considers the design of static and fixed-order dynamic output feedback controllers for discrete-time Lur'e systems with sector-bounded nonlinearities and polytopic parametric uncertainty. Controller design equations are derived for systems with multiple states, outputs, and nonlinearities in terms of linear matrix inequalities (LMIs). The design methods are based on parameter-dependent Lyapunov functions (PDLFs) combined with the latest in theoretical and iterative numerical methods for solving certain classes of nonconvex inequalities. The design methods are illustrated in several numerical examples.",

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Robust static and fixed-order dynamic output feedback control of discrete-time Lur'e systems. / Kim, Kwang Ki Kevin; Braatz, Richard D.
Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. IFAC Secretariat, 2011. p. 227-232 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Robust static and fixed-order dynamic output feedback control of discrete-time Lur'e systems

Abstract

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Bibliographical note

Keywords

Access to Document

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