• 제목/요약/키워드: Algebraic observer design

검색결과 17건 처리시간 0.024초

비선형강성의 유연관절로봇을 위한 가속도기반 비선형관측기 설계 (Design of Nonlinear Observer for Flexible Joint Manipulator with Nonlinear Stiffness Based on Acceleration)

  • 이승준;김형종;남경태;국태용
    • 전기학회논문지
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    • 제64권3호
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    • pp.451-457
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    • 2015
  • In this paper, we consider the observer design problem that truly reflects the nonlinear stiffness of the manipulators. The two key ideas of our design are that (a) estimation error dynamics of the manipulator equipped with accelerometer dose not dependent on nonlinearities at the link part, when the measured signals are the motor position and the output of the accelerometer and (b) the nonlinear stiffness is indeed a Lipschitz function. In order to effectively compensate the nonlinear stiffness, the gain of the proposed observer is carefully chosen from the ARE(algebraic Riccati equations) which depend on Lipschitz constant. Comparative simulation result verifies the effectiveness of the proposed solution.

수상선박의 위치 및 자세제어시스템 설계에 관한 연구 : 강인제어기법에 의한 관측기 설계 (Dynamic Positioning Control System Design for Surface Vessel: Observer Design Based on H Control Approach)

  • 김영복
    • 대한기계학회논문집A
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    • 제36권10호
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    • pp.1171-1179
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    • 2012
  • 본 논문에서는 선박운동제어를 위한 제어시스템 설계문제에 대해 고찰한다. 특히 강인한 추종성능을 가진 2자유도 서보계 설계법을 이용하여 선박의 위치 및 자세제어를 위한 제어기를 설계하고, 실험 등의 실제적인 제어시스템 구축시 센서로부터 모든 정보를 획득할 수 없으므로 이에 필요한 상태를 추정하기 위한 관측기 설계 문제에 대해 고려하고 있다. 그래서 본 논문에서는 실제 상태정보와 추정된 상태정보와의 오차를 최소화하도록 $H_{\infty}$ 오차 바운드를 설정하는 기법으로 관측기의 이득을 구한다. 특히 $H_{\infty}$ 오차 바운드를 만족하는 관측기가 존재하기 위한 조건을 LMI형식으로 변환하여 표현함으로써 관측기 이득 계산을 효율적으로 수행하여 최적의 이득을 구할 수 있음을 보이고 시뮬레이션을 통해 그 유용성을 확인한다.

스튜어트 플랫폼의 견실한 순기구학 추정기 설계 (Robust estimator design for the forward kinematics solution of stewart platform)

  • 강지윤;김동환;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.28-31
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    • 1996
  • We propose an estimator design method of Stewart platform, which gives the 6DOF, positions and velcities of Stewart platform from the measured cylinder length. The solution of forward kinematics is not solved yet as a useful realtime application tool because of the complexity of the equation with multiple solutions. Hence we suggest an nonlinear estimator for the forward kinematics solution using Luenberger observer with nonlinear error correction term. But the way of residual gain selection of the estimator is not clear, so we suggest an algebraic Riccati equation for gain matrix using Lyapunov method. This algorithm gives the sufficient condition of the stability of error dynamics and can be extended to general nonlinear system.

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고속월쉬변환과 월쉬함수 미분연산식에 의한 미지입력 관측기 설계 (Unknown input observer design via fast Walsh transform and Walsh function's differential)

  • 김진태;안비오;김민형;이명규;김재일;안두수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 D
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    • pp.2611-2613
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    • 2000
  • This paper deals with a novel approach to unknown inputs observer(UIO) design for linear time-invariant dynamical systems using a fast Walsh transform and Walsh function's differential operation. Generally, UIO has a derivation of system outputs which is not available from the measurement directly. And it is an obstacle to estimate the unknown inputs properly when unexpected measurement noises are presented. Therefore, this paper propose an algebraic approach to eliminate such problems by using a Walsh function's differential operation.

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미지 입력이 포함된 선형 동적 시스템의 최소차수 관측기 설계 (Design of Minimal-order Observer for Linear Dynamical Systems with Unknown inputs)

  • 안두수;안비오;이문희;김민형
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 B
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    • pp.1149-1151
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    • 1996
  • In the last several years, considerable attention has been focused on the problem of designing observers for linear systems with unknown inputs. Since UIO(unknown inputs observer) has the derivative of the outputs, it is very sensitive to measurement noises. Therefore this note propose an algebraic approach to UIO design to alleviate the prescribed problems. Since the proposed method has simple form to estimate state and unknown input and robustness to sensor noise, we believe that it is very attractive in practice.

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트랜스퍼 크레인의 이송위치제어를 위한 서보계 설계 : 가중 $H_{\infty}$ 오차사양을 만족하는 동일차원 관측기 설계 (Tracking Control System Design for the Transfer Crane : Design of Full-order Observer with Weighted $H_{\infty}$ Error Bound)

  • 김영복;정황훈;양주호
    • 동력기계공학회지
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    • 제12권6호
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    • pp.42-49
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    • 2008
  • The most important job in the container terminal area is to handle the cargo effectively in the limited time. To achieve this object, many strategies have been introduced and applied to. If we consider the automated container terminal, it is necessary that the cargo handling equipments are equipped with more intelligent control systems. From the middle of the 1990's, an automated rail-mounted gantry crane(RMGC) and rubber-tired gantry crane(RTG) have been developed and widely used to handle containers in the yards. Recently, in these cranes, the many equipments like CCD cameras and sensors are mounted to cope with the automated terminal environment. In this paper, we try to support the development of more intelligent automated cranes which make the cargo handling be performed effectively in the yards. For this plant, the modelling, tracking control, anti-sway system design, skew motion suppressing and complicated motion control and suppressing problems must be considered. Especially, in this paper, the system modelling and tracking control approach are discussed. And, we design the tracking control system incorporating an observer based on the 2DOF servo system design approach to obtain the desired state informations. In the case of observer design, a weighted $H_{\infty}$ error bound approach for a state estimator is considered. Based on an algebraic Riccati equation(inequality) approach, a necessary and sufficient condition for the existence of a full-order estimator which satisfies the weighted $H_{\infty}$ error bound is introduced. Where, the condition for existence of the estimator is denoted by a Linear Matrix Inequality(LMI) which gives an optimized solution and observer gain. Based on this result, we apply it to the tracking control system design for the transfer crane.

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Design of a Low-Order Sensorless Controller by Robust H∞ Control for Boost Converters

  • Li, Xutao;Chen, Minjie;Shinohara, Hirofumi;Yoshihara, Tsutomu
    • Journal of Power Electronics
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    • 제16권3호
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    • pp.1025-1035
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    • 2016
  • Luenberger observer (LO)-based sensorless multi-loop control of a converter requires an iterative trial-and-error design process, considering that many parameters should be determined, and loop gains are indirectly related to the closed-loop characteristics. Robust H∞ control adopts a compact sensorless controller. The algebraic Riccati equation (ARE)-based and linear matrix inequality (LMI)-based H∞ approaches need an exhaustive procedure, particularly for a low-order controller. Therefore, in this study, a novel robust H∞ synthesis approach is proposed to design a low-order sensorless controller for boost converters, which need not solve any ARE or LMI, and to parameterize the controller by an adjustable parameter behaving like a "knob" on the closed-loop characteristics. Simulation results show the straightforward closed-loop characteristics evaluation and better dynamic performance by the proposed H∞ approach, compared with the LO-based sensorless multi-loop control. Practical experiments on a digital processor confirmed the simulation results.