• Title/Summary/Keyword: Linear Observer

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Trajectory Control of a Hydraulic Excavator using Disturbance Observer in $H_{\infty}$ Framework

  • Choi, Jong-Hwan;Kim, Seung-Soo;Cho, Hyun-Cheol;Ahn, Tae-Kyu;Duoc, Buiquang;Yang, Soon-Yong
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.552-557
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    • 2004
  • This paper presents a disturbance observer based on an $H_{\infty}$ controller synthesis for the trajectory control of a hydraulic excavator. Compared to conventional robot manipulators driven by electrical motors, the hydraulic excavator has more nonlinear and coupled dynamics. In particular, the interactions between an excavation tool and the materials being excavated are unstructured and complex. In addition, its operating modes depend on working conditions, which make it difficult to not only derive the exact mathematical model but also design a controller systematically. In this study, the approximated linear model obtained through off-line system identification is used as nominal plant model for a disturbance observer. A disturbance observer based tracking controller which considers the effect of disturbance and model uncertainty is synthesized in $H_{\infty}$ frameworks. Simulation results are used to demonstrate the applicability of the proposed control scheme.

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Design of a Robust Controller to Enhance Lateral Stability of a Four Wheel Steer Vehicle with a Nonlinear Observer (비선형 관측기를 이용한 사륜조향 차량의 횡방향 안정성 강화를 위한 강인 제어기 설계)

  • Song, Jeong-Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.6
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    • pp.120-127
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    • 2007
  • This paper describes the development of a nonlinear observer for four wheel steer (4WS) vehicle. An observer is designed to estimate the vehicle variables difficult to measure directly. A brake yaw motion controller (BYMC), which uses a PID control method, is also proposed for controlling the brake pressure of the rear and inner wheels to enhance lateral stability. It induces the yaw rate to track the reference yaw rate, and it reduces a slip angle on a slippery road. The braking and steering performances of the anti-lock brake system (ABS) and BYMC are evaluated for various driving conditions, including straight, J-turn, and sinusoidal maneuvers. The simulation results show that developed ABS reduces the stopping distance and increases the longitudinal stability. The observer estimates velocity, slip angle, and yaw rate of 4WS vehicle very well. The results also reveal that the BYMC improves vehicle lateral stability and controllability when various steering inputs are applied.

The State of Charge Estimation for Lithium-Polymer Battery using a PI Observer (PI 상태관측기를 이용한 리튬폴리머 배터리 SOC 추정)

  • Lee, Junwon;Jo, Jongmin;Kim, Sungsoo;Cha, Hanju
    • The Transactions of the Korean Institute of Power Electronics
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    • v.20 no.2
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    • pp.175-181
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    • 2015
  • In this study, a lithium polymer battery (LiPB) is simply expressed by a primary RC equivalent model. The PI state observer is designed in Matlab/Simulink. The non-linear relationship with the OCV-SOC is represented to be linearized with 0.1 pu intervals by using battery parameters obtained by constant-current pulse discharge. A state equation is configured based on battery parameters. The state equation, which applied Peukert's law, can estimate SOC more accurately. SOC estimation capability was analyzed by utilizing reduced Federal Test Procedure (FTP-72) current profile and using a bi-directional DC-DC converter at temperature ($25^{\circ}C$). The PI state observer, which is designed in this study, indicated a SOC estimation error rate of ${\pm}2%$ in any of the initial SOC states. The PI state observer confirms a strong SOC estimation performance despite disturbances, such as modeling errors and noise.

Sampled-Data Fault Detection Observer Design of Takagi-Sugeno Fuzzy Systems (타카기-수게노 퍼지 시스템을 위한 샘플치 고장검출 관측기 설계)

  • Jee, Sung Chul;Lee, Ho Jae;Kim, Do Wan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.1
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    • pp.65-71
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    • 2013
  • In this paper, we address fault detection observer design problem of T-S fuzzy systems with sensor fault. To detect fault, T-S fuzzy model-based observer is used. By introducing $\mathfrak{H}$_ performance index, an observer is designed as sensitive to fault as possible. The fault is then detected by a fault decision logic. The design conditions are derived in terms of linear matrix inequalities. An illustrative example is provided to verify the effectiveness of the proposed fault detection technique.

Design of T-S Fuzzy Model based Adaptive Fuzzy Observer and Controller

  • Ahn, Chang-Hwan
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.23 no.11
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    • pp.9-21
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    • 2009
  • This paper proposes the alternative observer and controller design scheme based on T-S fuzzy model. Nonlinear systems are represented by fuzzy models since fuzzy logic systems are universal approximators. In order to estimate the unmeasurable states of a given unknown nonlinear system, T-S fuzzy modeling method is applied to get the dynamics of an observation system. T-S fuzzy system uses the linear combination of the input state variables and the modeling applications of them to various kinds of nonlinear systems can be found. The proposed indirect adaptive fuzzy observer based on T-S fuzzy model can cope with not only unknown states but also unknown parameters. The proposed controller is based on a simple output feedback method. Therefore, it solves the singularity problem, without any additional algorithm, which occurs in the inverse dynamics based on the feedback linearization method. The adaptive fuzzy scheme estimates the parameters and the feedback gain comprising the fuzzy model representing the observation system. In the process of deriving adaptive law, the Lyapunov theory and Lipchitz condition are used. To show the performance of the proposed observer and controller, they are applied to an inverted pendulum on a cart.

Performance Improvement of an Automatic Door System Using a Disturbance Observer (외란관측기를 이용한 자동문 시스템의 성능 개선)

  • Yoo, Young-Dong;Lee, Kyo-Beum;Hong, Suk-Kyo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.15 no.5
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    • pp.352-360
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    • 2010
  • This paper proposes a precise position control of an automatic door using a disturbance observer. Although the conventional PID controller is usually used for an automatic door system, the demand of the robust controller considering the parameter deviations and disturbances is increasing due to the various size and weight of a door. The linear model for an automatic door system is presented. Based on this model, the LQR controller using a state feedback controller and an observer are suggested. A disturbance observer to compensate the undesirable factors is also proposed. Simulation and Experimental results are presented to illustrate the feasibility of the proposed control strategy.

Observer-based decentralized fuzzy controller design of nonlinear interconnected system for PEMFC (고분자 전해질 연료전지 시스템을 위한 비선형 상호결합 시스템의 관측기 기반 분산 퍼지 제어기 설계)

  • Koo, Geun-Bum;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.423-429
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    • 2011
  • This paper deals with the observer-based decentralized fuzzy controller design for nonlinear interconnected system for PEMFC. The nonlinear interconnected system is represented by a Takagi-Sugeno (T-S) fuzzy model. Based on T-S fuzzy interconnected system, the fuzzy observer and the decentralized fuzzy controller are designed. The stability condition of the closed-loop system with the proposed controller is represented to the linear matrix inequality (LMI) form, and the observer and control gain s are obtained by LMI. An example is given to show the verification discussed throughout the paper.

Zero Power Levitation Control of Controlled-PM Electromagnet Levitation System by Reduced Order Extended State Observer (최소차원 확장형 상태관측기에 의한 제어형 영구자석 자기 부상 시스템의 제로전력 부상 제어)

  • Kim, Youn-Hyun;Kim, Sol;Lee, Ju
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.9
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    • pp.515-521
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    • 2002
  • This paper presents the scheme that improves control responsibility and stability of the controlled-PM electromagnet levitation system with zero Power controller. A magnetically levitation system is used widely because friction can almost be disappeared. But it is difficult to control due to restraint of controllable area and nonlinear characteristics of electromagnetic force, which is proportioned to a square of the magnetic flux density and is in inverse proportion to a square of the air-gap. So, the application of observer theory in which the levitation system is considered to be a linear dynamic model has resulted in omitting the time dependence on mover's speed. Consequently, the performance of the observer is quite poor during transients. Therefore, this paper proposed the controlled-PM electro-magnetic levitation control method in which the variable load is estimated by using the reduced order extended luenverger observer and its system is controlled at a new zero power equilibrium air-gap position. It is also verified that the proposed control method improve the control performance through simulation and experiment.

Design of Sliding Mode Observer for Solar Array Current Estimation in the Grid-Connected Photovoltaic System (계통연계형 태양광 발전시스템의 태양전지 전류 추정을 위한 슬라이딩 모드 관측기 설계)

  • Kim IL-Song;Baik In-Cheol;Youn Myung-Joong
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.4
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    • pp.411-419
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    • 2005
  • In this paper, a sliding mode observer for solar array current estimation in the photovoltaic power generation system is presented. The solar array current estimation Information is obtained from the sliding mode observer and fed into the maximum power point tracker to update the reference voltage. The parameter values such as inverter dc link capacitances cm be changed up to 50$\%$ from their nominal values and the linear observer can't estimate the correct state values under the parameter variations and noisy environments. The configuration of sliding mode observer is simple, but it shows the robust tracking performance against parameter variations and modeling uncertainties. In this paper, the method for constructing the sliding mode observer using equivalent control input is presented and the convergence of the proposed observer is verified by the Lyapunov method. The mathematical modeling and the experimental results verify the validity of the proposed method.

Comparison of Algebraic design methodologies for Unknown Inputs Observer via Orthogonal Functions (대수적 미지입력관측기 설계를 위한 직교함수의 응용)

  • Ahn, P.;Lee, S.J.;Kim, H.W.
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2543-2545
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    • 2005
  • It is well known that the orthogonal function is a very useful to estimate an unknown inputs in the linear dynamic systems for its recursive algebraic algorithm. At this aspects, derivative operation(matrix) of orthogonal functions(walsh, block pulse and haar) are introduced and shown how it can useful to design an UIO(unknown inputs observer) design.

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