• 제목/요약/키워드: nonlinear observer canonical form

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Adaptive Observer Design for Nonlinear Systems Using Generalized Nonlinear Observer Canonical Form

  • Jo, Nam-Hoon;Son, Young-Ik
    • Journal of Mechanical Science and Technology
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    • 제18권7호
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    • pp.1150-1158
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    • 2004
  • In this paper, we present an adaptive observer for nonlinear systems that include unknown constant parameters and are not necessarily observable. Sufficient conditions are given for a nonlinear system to be transformed by state-space change of coordinates into an adaptive observer canonical form. Once a nonlinear system is transformed into the proposed adaptive observer canonical form, an adaptive observer can be designed under the assumption that a certain system is strictly positive real. An illustrative example is included to show the effectiveness of the proposed method.

동적시스템 확장을 이용한 비선형시스템의 관측기 설계 (Nonlinear Observer Design using Dynamic System Extension)

  • 조남훈
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권11호
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    • pp.760-767
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    • 2004
  • In this paper, we propose sufficient conditions under which nonlinear systems can be transformed into nonlinear observer canonical form in the extended state space by virtue of dynamic system extension. The proposed scheme weakens two major restrictions of observer error linearization technique. Once a nonlinear system is transformed into nonlinear observer canonical form using dynamic system extension, a state observer can be easily designed. Two illustrative examples are included in order to compare the proposed scheme and observer error linearization method.

관측가능하지 않은 다중출력 비선형 시스템의 관측기 설계기법 (Observer Design for Multi-Output Unobservable Nonlinear Systems)

  • 조남훈
    • 제어로봇시스템학회논문지
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    • 제10권7호
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    • pp.575-582
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    • 2004
  • The observer design problem is studied for a class of multi-output nonlinear systems that are not necessarily observable. Generalized nonlinear observer canonical form is introduced for multi-output nonlinear systems to design nonlinear observers. Sufficient conditions are given for a nonlinear system to be transformed by state-space change of coordinates into generalized nonlinear observer canonical form. Based on this canonical from, a sufficient condition is also given for the existence of nonlinear observers. An illustrative example is presented to show the design procedure of the proposed method.

다중출력 관측불가능 비선형 시스템의 적응관측기 설계기법 (Adaptive Observer Design for Multi-Output Unobservable Nonlinear Systems)

  • 조남훈
    • 제어로봇시스템학회논문지
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    • 제11권4호
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    • pp.271-278
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    • 2005
  • In this paper, we present an adaptive observer for multi-output nonlinear systems that include unknown constant parameters and are not necessarily observable. Based on generalized nonlinear observer canonical form, new adaptive observer canonical form is proposed. Sufficient conditions are given for a nonlinear system to be transformed into the proposed adaptive observer canonical form. The existence of the proposed adaptive observer is given in terms of Lyapunov-like condition and SPR condition. An illustrative example is presented to show the design procedure of the proposed method.

Fuzzy Sliding Mode Observer for Nonlinear System

  • Seo, Sam-Jun;Kim, Dong-Sik;Seo, Ho-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.42.2-42
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    • 2001
  • This paper deals with a fuzzy sliding mode observer for nonlinear systems. A nonlinear system is approximated by a multiple model Takagi Sugeno fuzzy system and then transformed into a canonical form for which a nonlinear observer is constructed. This study presents a type of fuzzy sliding mode observer that deals with matched and unmatched uncertainties in the plant dynamics very effectively. The proposed method was validated by the example of a inverted pendulum.

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A Robust Observer Design for Nonlinear MIMO Plants using Time-Delayed Signals

  • Lee, Jeong-Wan;Chang, Pyung-Hun
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권1호
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    • pp.22-31
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    • 1999
  • In this paper, a robust observer design method for nonlinear multi input multi-output(MINO) plants is presented. This method enables the extension of the time delay observer (TDO) for nonlinear SISO plants in the phase variable form to MIMO plants. The designed TDO reconstructs the states of the plant expressed in the generalized observability canonical form (GOBCF), yet requiring neither the transformation of a plant, nor the real time computation coordinates, the observer turned out to be computationally efficient and easy to design for nonlinear MIMO plants. In a simulation of a two-link manipulator with flexible joints, the control performances using TDO appeared to be similar to those using actual states and superior to those using numerical differentiation. Finally, in an experiment with a robot, it was confirmed that the TDO reconstructs the states reliability and TDO can be effectively used in a real closed-loop system.

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비선형 관측기를 이용한 유연한 관절을 가진 로봇 팔의 제어기 구성 (Controller design for single link robot with flexible joint using nonlinear observer)

  • 이장원;서진헌
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.1128-1130
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    • 1996
  • A canonical form observer design method for nonlinear systems is studied. Through this method, an observer of single link robot system with flexible joint is proposed. It is shown through simulation that the system can be stabilized when using the nonlinear feedback linearizing controller and the supposed observer.

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On the Design of the Observers of the Nonlinear System

  • Roh, Dong-Hwi;Park, Se-Yeon;Ryu, Dong-Young;Lee, Hong-Gi
    • 한국지능시스템학회논문지
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    • 제11권7호
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    • pp.653-658
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    • 2001
  • In this paper, we find the necessary and sufficient conditions for the discrete time nonlinear system to be transformed into observable canonical form by state coordinates change. Unlike the continuous time case, our theorems give the desired state coordinates change without solving partial differential equations. Also, our approach is applicable to both autonomous systems and control systems by slight change of the definition of the vector field.

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외란 관측기를 이용한 영구자석 동기전동기의 비선형 속도 제어 (A Nonlinear Speed Control for a Permanent Magnet Synchronous Motor Using a Simple Disturbance Estimation Technique)

  • 이나영;김경화;윤명중
    • 전력전자학회논문지
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    • 제6권2호
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    • pp.149-157
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    • 2001
  • 본 논문에서는 간단한 외란 관측 기법을 이용한 영구자석형 동기 전동기(Permanent Magnet Syncoronous Motor:PMSM)의 비선형 속도 제어 기법이 제안된다. 피드백 선형화(feedback linearization) 기법을 이용함으로써 비선형 요서가 효과적으로 제거되고 출력 오차 동특성을 선형 제어 기법에 기반하여 설정할 수 있다. 그러나 이 방식은 제어기의 파라미터들이 실제 모터의 파라미터들과 일치하지 않으면 만족스러운 성능을 기대할 수 없다. 본 논문에서는 파라미터들이 실제 모터의 파라미터들과 일치하지 않으면 만족스러운 성능을 기대할 수 없다. 본 논문에서는 파라미터 변동에 의한 비선형 외란을 제거하기 위해 외란 관측 기법을 이용한다. 제안한 방식에는 두개의 축소 차수 관측기만 이용되므로 관측기 설계가 상당히 간단하고 파라미터 추정을 위한 제어기의 계산량에 많은 부담을 주지 않는다. 제안한 관측기를 이용한 비선형 속도 제어 알고리즘이 파라미터 변동에 대해 상인한 제어특성을 가짐을 시뮬레이션과 실험 결과로 입증하였다.

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