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Observer design for unknown input nonlinear descriptor systems via convex optimization

This paper treats the design problem of full-order observers for nonlinear descriptor systems with unknown input (UI). Depending on the available knowledge on the UI dynamics, two cases are considered. First, a UI proportional observer (UIPO) is proposed when the spectral domain of the UI is unknown...

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Published in:	IEEE transactions on automatic control 2006-06, Vol.51 (6), p.1047-1052
Main Author:	Koenig, D.
Format:	Article
Language:	English
Subjects:	Applied sciences Asymptotic properties Asymptotic stability Automatic Control Engineering Computer Science Computer science control theory systems Control theory. Systems Design engineering Design optimization Dynamical systems Exact sciences and technology Frequency Linear matrix inequalities Linear matrix inequalities (LMIs) Linear systems Lipschitz nonlinear descriptor systems Modelling and identification Noise robustness Nonlinear dynamics Nonlinear systems Nonlinearity Observers proportional integral observers Spectra Stability State estimation Sufficient conditions Symmetric matrices unknown input observers
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cited_by	cdi_FETCH-LOGICAL-c384t-be014da73bbba28e77aca04a57c1a1266550dd3f9cfef07172e2d180f17e1efb3
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container_end_page	1052
container_issue	6
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container_title	IEEE transactions on automatic control
container_volume	51
creator	Koenig, D.
description	This paper treats the design problem of full-order observers for nonlinear descriptor systems with unknown input (UI). Depending on the available knowledge on the UI dynamics, two cases are considered. First, a UI proportional observer (UIPO) is proposed when the spectral domain of the UI is unknown. Second, a PIO is proposed when the spectral domain of the UI is in the low frequency range. Sufficient conditions for the existence and stability of such observers are given and proved. Based on the linear matrix inequality (LMI) approach, an algorithm is presented to compute the observer gain matrix that achieves the asymptotic stability objective. An example is included to illustrate the method.
doi_str_mv	10.1109/TAC.2006.876807
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subjects	Applied sciences Asymptotic properties Asymptotic stability Automatic Control Engineering Computer Science Computer science control theory systems Control theory. Systems Design engineering Design optimization Dynamical systems Exact sciences and technology Frequency Linear matrix inequalities Linear matrix inequalities (LMIs) Linear systems Lipschitz nonlinear descriptor systems Modelling and identification Noise robustness Nonlinear dynamics Nonlinear systems Nonlinearity Observers proportional integral observers Spectra Stability State estimation Sufficient conditions Symmetric matrices unknown input observers
title	Observer design for unknown input nonlinear descriptor systems via convex optimization
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