Dynamic observers for linear time-invariant systems

Park, Jong-Koo; Shin, Dong-Ryeol; Chung, Tai Myoung

doi:10.1016/s0005-1098(01)00293-x

Cited by 62 publications

(39 citation statements)

References 9 publications

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“…In this case, the dimension of the controller equation can be different from the system under consideration, and one has just to make sure that the chosen virtual system contains both system and controller. Switching again to the observer world, this last remark can be used to reformulate, in a very simple way, the interesting concept of dynamic observers as introduced by Park et al (2002).…”

Section: From Observers To Controllersmentioning

confidence: 99%

Tutorial on Incremental Stability Analysis using Contraction Theory

Jouffroy¹,

Fossen

2010

MIC

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This paper introduces a methodology for differential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the observer in the case of observer convergence analysis, the plant and the controller in the case of tracking controller analysis), the definition of an abstract system common to the two systems and denoted as the "virtual system", and the convergence study of the virtual system using its virtual dynamics representation. The approach is illustrated on several simple examples.

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Section: From Observers To Controllersmentioning

confidence: 99%

Tutorial on Incremental Stability Analysis using Contraction Theory

Jouffroy¹,

Fossen

2010

MIC

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“…For example, in the work [10] the transient improvement is obtained by introducing the additional dynamics into the ob-server process. In this approach the static Luenberger observer is transformed into dynamic form by replacing a static gain within a dynamic gain.…”

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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“…By employing an extended descriptor system, this limitation can be alleviated [14]. Moreover, dynamic observers [15] are suitable for fault-tolerant observation without increasing the dimension of system equations [16]. Equivalent-input-disturbance estimators focus on the effect of a disturbance on a control system input rather than on the disturbed states [17].…”

Section: Introductionmentioning

confidence: 99%

On linear observers and application to fault detection in synchronous generators

Stellet

Rogg

2014

Control Theory Technol.

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This work introduces an observer structure and highlights its distinct advantages in fault detection and isolation. Its application to the issue of shorted turns detection in synchronous generators is demonstrated. For the theoretical foundation, the convergence and design of Luenberger-type observers for disturbed linear time-invariant (LTI) single-input single-output (SISO) systems are reviewed with a particular focus on input and output disturbances. As an additional result, a simple observer design for stationary output disturbances that avoids a system order extension, as in classical results, is proposed.

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Dynamic observers for linear time-invariant systems

Cited by 62 publications

References 9 publications

Tutorial on Incremental Stability Analysis using Contraction Theory

Tutorial on Incremental Stability Analysis using Contraction Theory

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

On linear observers and application to fault detection in synchronous generators

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