Switched Observers for Switched Linear Systems With Unknown Inputs

Bejarano, Francisco Javier; Pisano, Alessandro

doi:10.1109/tac.2010.2095990

Cited by 142 publications

(101 citation statements)

References 15 publications

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“…The subsystem (5) is strongly observable since it has the canonical representation c, A 0 , b 0 (the conditions of existence of such a transformation for linear time-invariant systems are analyzed in [3]). However, the system is not necessarily detectable (the dynamics of (1) could be non-minimum phase as in [28]) since there is no requirement on stability of the matrix function A 22 (θ).…”

Section: Resultsmentioning

confidence: 99%

“…Application of HOSM differentiators for unknown input estimation and compensation in linear systems has been studied in [3], an extension to nonlinear systems is presented in [9].…”

Section: Hosm Differentiationmentioning

confidence: 99%

“…On the other hand, the HOSM techniques have become very popular for design of observers for linear and nonlinear systems [1,3,22,7,24,28]. The sliding modes ensure a finite time of the estimation error convergence to zero and complete insensitivity to a matched uncertainty [6,2,23].…”

Section: Introductionmentioning

confidence: 99%

“…The sliding modes ensure a finite time of the estimation error convergence to zero and complete insensitivity to a matched uncertainty [6,2,23]. Mainly these features can be achieved under assumption that the system is strongly observable or strongly detectable [3]. The objective of this work is to combine both approaches (the interval observers and the HOSM techniques) in order to improve accuracy of estimation achieved by interval observers.…”

Section: Introductionmentioning

confidence: 99%

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Interval estimation for LPV systems applying high order sliding mode techniques

et al. 2012

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In this paper, the problem of design of interval observers for Linear-Parameter-Varying (LPV) systems, containing non detectable or non strongly observable parts, is addressed. Firstly, a High Order Sliding Mode (HOSM) method is applied to the strongly observable subsystem, obtained by an appropriate change of coordinates, to estimate the state and its derivative. Secondly, this information is used to decrease the level of uncertainty in the rest of the system, which leads to improvement of accuracy of the set-membership estimates generated by an interval observer. Moreover, it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods. The efficiency of the proposed approach is demonstrated through simulation examples.

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Section: Resultsmentioning

confidence: 99%

“…Application of HOSM differentiators for unknown input estimation and compensation in linear systems has been studied in [3], an extension to nonlinear systems is presented in [9].…”

Section: Hosm Differentiationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Interval estimation for LPV systems applying high order sliding mode techniques

et al. 2012

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“…Another approach is found in the work [2] where a plant is described by switching a finite set of models. This requires a switched observer structure.…”

Section: Introductionmentioning

confidence: 99%

Multi-layer observer as new structure for state estimation in linear systems

Bernat

Kołota

Superczyńska

et al. 2017

Archives of Electrical Engineering

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Abstract:A new structure to design observers for linear systems is presented in this work. The key step is the construction of two layers where the first consists of multiple observers and the second connects them providing the weighted estimation state. The main difficulty is to find a new feedback which is responsible for control weights. To define observation law, we rely on multi observers from the first layer. The proposed structure significantly improves the transient characteristics of the observation process, which is shown in illustrative examples.

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Adaptive control and signal processing literature survey (No. 24)

2011

Int. J. Adapt. Control Signal Process.

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In order to keep readers up to date, the journal will contain a list of recently published journal articles relevant to the fields of adaptive control and signal processing six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please

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Switched Observers for Switched Linear Systems With Unknown Inputs

Cited by 142 publications

References 15 publications

Interval estimation for LPV systems applying high order sliding mode techniques

Interval estimation for LPV systems applying high order sliding mode techniques

Multi-layer observer as new structure for state estimation in linear systems

Adaptive control and signal processing literature survey (No. 24)

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