Input Disturbance Estimation For Linear Systems in The Bounded Noise Context

Grobov, I. D.

doi:10.1111/j.1934-6093.2001.tb00070.x

Cited by 3 publications

(4 citation statements)

References 23 publications

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“…The second is based on the equivalent control design and disturbance observer 35,36 . The observation of deterministic linear and nonlinear systems with bounded perturbations has been extensively studied as can be seen in References 37 and 38. However, in the most papers there was considered the situation when the available states as well as the output were free of measurement noise.…”

Section: Introductionmentioning

confidence: 99%

Attractive ellipsoid design for robust sliding‐mode observation error in stochastic nonlinear discrete‐time systems

Velázquez

Poznyak

2020

Intl J Robust & Nonlinear

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In this paper the observation process of stochastic discrete-time nonlinear system is analyzed. The system to be observed is assumed to be uncertain, but fulfilling the global "quasi-Lipschitz" condition and is subjected to stochastic input and output disturbances of a white noise type. The combination of a traditional Luenberger residual term with a discontinuous one is considered. The designing of the best observer gain matrices is realized by using the Robust Attractive Ellipsoid Method for the analysis of the averaged observation error. The construction of this attractive ellipsoid is based on the numerical solution of some matrix optimization problem under specific constraints of Bilinear and Linear Matrix Inequalities (BMI's and LMI's) type applied to improve the attractiveness zone estimation. Two numerical xamples illustrate the effectiveness of the suggested approach. K E Y W O R D S attractive ellipsoid method, bilinear and linear matrix inequalities, discrete-time stochastic process, Quasi-Lipschitz conditions, sliding mode observer 1 INTRODUCTION The problem of state variables estimating of a dynamic system, given observations of the output variables, is of fundamental importance in control theory since many feedback control designs require the availability of the state of the controlled plant. 1.1 Complete information on dynamics and conditional probabilities 1.1.1 Linear estimations Considering the class of linear systems, there are two approaches available:-if the output variables can be measured exactly and if there are no stochastic disturbances acting on the system, then one can use a Luenberger observer to reconstruct the state 1-3

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Section: Introductionmentioning

confidence: 99%

Attractive ellipsoid design for robust sliding‐mode observation error in stochastic nonlinear discrete‐time systems

Velázquez

Poznyak

2020

Intl J Robust & Nonlinear

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“…As a result, their method is not feasible for operations in noisy environments. Moreover, these previous studies did not consider the issue of structure uncertainties. It was pointed out in theoretically and experimentally that the disturbance observer based controllers may not be robust to large model uncertainty mismatch.…”

Section: Introductionmentioning

confidence: 99%

“…The main problem with this approach is that it is difficult for DOB to be designed into multiple input multiple output (MIMO) systems. Another approach for disturbance estimation involves designing a joint state and disturbance observer, where observers are constructed to estimate simultaneously both the state and the unknown disturbance. The designs in several papers have been successfully implemented under the assumption that the disturbance is constant or slowly time‐varying.…”

Section: Introductionmentioning

confidence: 99%

Disturbance Observer Based Dynamic Output Feedback Controller Design for Linear Uncertain Systems

Chang

Wu²

2012

Asian Journal of Control

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For linear multiple input multiple output (MIMO) systems with mismatched parameter uncertainties and matched nonlinear perturbations, a compensator‐based controller based on the disturbance estimation algorithm is considered in this paper. We design a reduced‐order high‐gain observer to estimate the effect of matched perturbation, and introduce the estimation information into the controller design. Using singular perturbation theory, the proposed control law can guarantee robust stability of the closed‐loop system. Moreover, the peaking phenomenon in the control input during the transient time can be effectively avoided using our method. Finally, the feasibility of the proposed method is illustrated by a numerical example.

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“…Eine verbesserte Einschließung der Störgrößen gegenüber der A-priori-Kenntnis von Störschranken gelingt durch eine "verzögerte Beobachtung" und anschließende Projektion auf den Störsignalraum. Damit wird das in [5] beschriebene Verfahren auf die "verzögerte Beobachtung" erweitert. Für die Wahl der Verzögerung werden notwendige Bedingungen angegeben.…”

Section: Introductionunclassified

Garantierte Störgrößeneinschließung für lineare zeitdiskrete Systeme

Falkenhain¹,

Lunze

2011

At - Automatisierungstechnik

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Zusammenfassung Wenn technische Prozesse von nicht messbaren Störungen beeinflusst werden, können Störgrößenbeobachter eingesetzt werden, um die Amplitude der Störung aus den messbaren Eingangs- und Ausgangssignalen zu rekonstruieren. Dieser Beitrag schlägt eine Erweiterung der Störgrößenbeobachtung für den Fall vor, dass die messbaren Signale nur mit systematischen Fehlern bestimmt werden können, wobei angenommen wird, dass obere und untere Schranken für diese Fehler bekannt sind. Dazu wird eine Methode der Zustandsmengenbeobachtung erweitert, um Mengen zu berechnen, welche die Störgröße garantiert einschließen. Informationen über die Dynamik der Störung werden durch Störmodelle berücksichtigt. Ein Beispiel zeigt die Wirksamkeit dieser Methode.

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Input Disturbance Estimation For Linear Systems in The Bounded Noise Context

Cited by 3 publications

References 23 publications

Attractive ellipsoid design for robust sliding‐mode observation error in stochastic nonlinear discrete‐time systems

Attractive ellipsoid design for robust sliding‐mode observation error in stochastic nonlinear discrete‐time systems

Disturbance Observer Based Dynamic Output Feedback Controller Design for Linear Uncertain Systems

Garantierte Störgrößeneinschließung für lineare zeitdiskrete Systeme

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