• Title/Summary/Keyword: observer design

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

  • Jo Nam-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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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.

Observer for Nonlinear Systems Using Approximate Observer Form (근사 관측기 형태를 이용한 비선형 시스템의 관측기)

  • 이성렬;신현석;박민용
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.207-207
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    • 2000
  • This paper presents an observer for nonlinear systems using approximate observer form. It is shown that if a nonlinear system is approximately error linearizable, then there exists a local nonlinear observer whose estimation error converges exponentially to zero. Since the proposed method relaxes strong geometric conditions of previous works, it improves the existing results for a nonlinear observer design. Finally, some examples are given to show the effectiveness of this scheme.

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SDRE Based Optimal Nonlinear Observer-Controller Design for Ramp Metering System (진입로 신호등 시스템을 위한 SDRE 기반 최적 비선형 관측기 제어기 설계)

  • Lee, Kiho;Choi, Han Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.5
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    • pp.533-536
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    • 2014
  • In this paper, a near optimal decentralized observer-controller design method is proposed for ramp metering systems based on SDRE (State Dependent Riccati Equation) approach. The optimal nonlinear observer gain is parameterized in terms of the solution matrix of an SDRE. This paper gives a simple algorithm to compute the near optimal observer gain. The optimal control design problem is also considered. Finally, numerical simulation results are given to illuminate the effectiveness and practicality of the proposed design method.

An LMI-Based Design of Reduced Order Observers Substitutable for Full Order Sliding Mode Observers (전차수 슬라이딩 모드 관측기를 대체하는 축소차수 관측기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.3
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    • pp.232-235
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    • 2008
  • This paper presents an LMI-based method to design reduced order observers by which we can substitute full order sliding mode observers for a class of uncertain time-delay systems. We show that a reduced order observer can be constructed as long as the uncertain system satisfies the previous LMI existence conditions of a full order sliding mode observer. And we give explicit formulas of the reduced order observer gain matrices. Finally, we give a simple LMI-based design algorithm, together with a numerical design example.

Design of an Adaptive Observer without Using Output Derivative Measurements (출력의 미분항을 사용하지 않는 적응 관측기 설계 방법)

  • 손영익;심형보;백주훈;조남훈
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.6
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    • pp.395-401
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    • 2004
  • By using an adaptive algorithm, together with an additional dynamic system, this paper proposes a new approach to design of a state observer for a class of uncertain systems. We enlarge the class of linear systems from the canonical form of [1] by proposing an adaptive observer that allows unknown parameters to affect those unmeasured states. The result is based on a recent result which presents a design algorithm for an additional system to replace output derivative measurements with the additional dynamics. A numerical example illustrates the design procedure of the state observer.

Robust observer-based $H_{\infty}$ control for singular systems (특이시스템의 강인 관측기 기반 $H_{\infty}$ 제어)

  • Kim, Jong-Hae
    • Proceedings of the KIEE Conference
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    • 2004.05a
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    • pp.7-9
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    • 2004
  • This paper provides an observer-based $H_{\infty}$ controller design method for singular systems with and without time-varying delay by just one LMI condition. The sufficient condition for the existence of controller and the controller design method are presented by perfect LMI (linear matrix inequality) approach. The design procedure involves solving an LMI. The observer-based $H_{\infty}$ controller in the existing results can be constructed from the coupled two or more conditions while the proposed controller design method can be obtained from an LMI condition, which can be solved efficiently by convex optimization. Since the obtained condition can be expressed as an LMI form, all variables including feedback gain and observer gain can be calculated simultaneously by Schur complement and changes of variables. An example is given to illustrate the results.

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Design of Sliding-mode Observer for Robust Speed Sensorless Induction Motor Drive

  • Son, Young-Dae;Lee, Jong-Nyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.488-492
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    • 2004
  • In this paper, the design of a speed sensorless vector control system for induction motor is performed by using a new sliding mode technique based on current model flux observer. A current and flux observer based on the current estimation error is constructed. The proposed current observer includes a sliding mode function, which is derivative of the flux. That is, sliding mode observer which allows the estimation of both the rotor speed and flux based on the measurement of motor terminal quantities, would be proposed. And, a synergetic speed controller using the estimated speed signal is designed to stabilize the speed loop. Simulation results are presented to confirm the theoretical analysis, and to show the system performance with different observer gains and the influence of the motor parameter.

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Attitude Maneuver Control of Flexible Spacecraft by Observer-based Tracking Control

  • Hyochoong Bang;Oh, Choong-Seok
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.122-131
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    • 2004
  • A constraint equation-based control law design for large angle attitude maneuvers of flexible spacecraft is addressed in this paper The tip displacement of the flexible spacecraft model is prescribed in the form of a constraint equation. The controller design is attempted in the way that the constraint equation is satisfied throughout the maneuver. The constraint equation leads to a two-point boundary value problem which needs backward and forward solution techniques to satisfy terminal constraints. An observer-based tracking control law takes the constraint equation as the input to the dynamic observer. The observer state is used in conjunction with the state feedback control law to have the actual system follow the observer dynamics. The observer-based tracking control law eventually turns into a stabilized system with inherent nature of robustness and disturbance rejection in LQR type control laws.

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

  • Jo Nam-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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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.

Observer Based Nonlinear State Feedback Control of PEM Fuel Cell Systems

  • Kim, Eung-Seok
    • Journal of Electrical Engineering and Technology
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    • v.7 no.6
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    • pp.891-897
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    • 2012
  • In this paper, the observer based nonlinear state feedback controller has been developed to control the pressures of the oxygen and the hydrogen in the PEM(Proton Exchange Membrane) fuel cell system. Nonlinear model of the PEM fuel cell system was introduced to study the design problems of the state observer and model based controller. A cascade observer using the filtering technique was used to estimate the pressure derivatives of the cathode and the anode in the system. In order to estimate the pressures of the cathode and the anode, the sliding mode observer was designed by using these pressure derivatives. To estimate the oxygen pressure and the hydrogen pressure in the system, the nonlinear state observer was designed by using the cathode pressure estimates and the anode it. These results will be very useful to design the state feedback controller. The validity of the proposed observers and the controller has been investigated by using the Lyapunov's stability analysis strategy.