Robust H∞ observer design for a class of lipschitz discrete-time systems

Guoping Lu; Daniel W. C. Ho

doi:10.1109/CCA.2004.1387627

Robust H_∞ observer design for a class of lipschitz discrete-time systems

Department of Mathematics

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

2 Citations (Scopus)

Abstract

In this paper, we discuss the observer design for a class of Lipschitz nonlinear discrete-time systems with disturbance input, where the Lipschitz condition is expressed in a component-wise rather than aggregated manner. It is shown that both full-order and reduced-order robust H_∞ observers can be obtained by using the same convex optimization procedure with minimization of the disturbance attenuation upper bound γ > 0. It is also shown that for a prescribed H_∞ -norm upper-bound γ > 0, the tolerable Lipschitz bounds can be obtained by another convex optimization procedure. Finally, an illustrative numerical example is presented to show the effectiveness of the developed approach. © 2004 IEEE.

Original language	English
Title of host publication	Proceedings of the 2004 IEEE International Conference on Control Applications
Publisher	IEEE
Pages	1733-1738
Volume	2
ISBN (Print)	0-7803-8633-7
DOIs	https://doi.org/10.1109/CCA.2004.1387627
Publication status	Published - Sept 2004
Event	2004 IEEE International Conference on Control Applications (CCA 2004) - Taipei, Taiwan, China Duration: 2 Sept 2004 → 4 Sept 2004

Conference

Conference	2004 IEEE International Conference on Control Applications (CCA 2004)
Place	Taiwan, China
City	Taipei
Period	2/09/04 → 4/09/04

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10.1109/CCA.2004.1387627

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Cite this

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title = "Robust H∞ observer design for a class of lipschitz discrete-time systems",

abstract = "In this paper, we discuss the observer design for a class of Lipschitz nonlinear discrete-time systems with disturbance input, where the Lipschitz condition is expressed in a component-wise rather than aggregated manner. It is shown that both full-order and reduced-order robust H∞ observers can be obtained by using the same convex optimization procedure with minimization of the disturbance attenuation upper bound γ > 0. It is also shown that for a prescribed H∞ -norm upper-bound γ > 0, the tolerable Lipschitz bounds can be obtained by another convex optimization procedure. Finally, an illustrative numerical example is presented to show the effectiveness of the developed approach. {\textcopyright} 2004 IEEE.",

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Robust H_∞ observer design for a class of lipschitz discrete-time systems. / Lu, Guoping; Ho, Daniel W. C.
Proceedings of the 2004 IEEE International Conference on Control Applications. Vol. 2 IEEE, 2004. p. 1733-1738.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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AB - In this paper, we discuss the observer design for a class of Lipschitz nonlinear discrete-time systems with disturbance input, where the Lipschitz condition is expressed in a component-wise rather than aggregated manner. It is shown that both full-order and reduced-order robust H∞ observers can be obtained by using the same convex optimization procedure with minimization of the disturbance attenuation upper bound γ > 0. It is also shown that for a prescribed H∞ -norm upper-bound γ > 0, the tolerable Lipschitz bounds can be obtained by another convex optimization procedure. Finally, an illustrative numerical example is presented to show the effectiveness of the developed approach. © 2004 IEEE.

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