• Title/Summary/Keyword: observability

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A Balanced Model Reduction for Uncertain Nonlinear Systems (불확실한 비선형 시스템의 균형화된 모델축소)

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.2
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    • pp.144-149
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    • 2006
  • This paper deals with a balanced model reduction for uncertain nonlinear systems via T-S fuzzy approach. We define a generalized controllability/observability gramian and obtain a balanced state space model using generalized gramians which can be obtained from solutions of linear matrix inequalities. We present a balanced model reduction scheme by truncating not only state variables but also uncertain elements. An upper bound of the model reduction error will also be suggested. In order to demonstrate the efficacy of our method, a numerical example will be presented.

A New Approach for SINS Stationary Self-alignment Based on IMU Measurement

  • Zhou, Jiangbin;Yuan, Jianping;Yue, Xiaokui
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.355-359
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    • 2006
  • For the poor observability of azimuth misalignment angle and east gyro drift rate of the traditional initial alignment, a bran-new SINS stationary fast self-alignment approach is proposed. By means of analyzing the characteristic of the strapdown inertial navigation system (SINS) stationary alignment seriously, the new approach takes full advantage of the specific force and angular velocity information given by inertial measurement unit (IMU) instead of the mechanization of SINS. Firstly, coarse alignment algorithm is presented. Secondly, a new fine alignment model for SINS stationary self-alignment is derived, and the observability of the model is analysed. Then, a modified Sage-Husa adaptive Kalman filter is introduced to estimate the misalignment angles. Finally, some computer simulation results illustrate the efficiency of the new approach and its advantages, such as higher alignment accuracy, shorter alignment time, more self-contained and less calculation.

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Robust Observer Design for Multi-Output Systems Using Eigenstructure Assignment (고유구조 지정을 이용한 다중출력 시스템의 강인한 관측기 설계)

  • Huh, Kun-Soo;Nam, Joon-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.11
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    • pp.1621-1628
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    • 2004
  • This paper proposes a design methodology for the robust observer using the eigenstructure assignment in multi-output systems so that the observer is less sensitive to the ill-conditioning factors such as unknown initial estimation error, modeling error and measurement bias in transient and steady-state observer performance. The robustness of the observer can be achieved by selecting the desired eigenvector matrix to have a small condition number that guarantees the small upper bound of the estimation error. So the left singular vectors of the unitary matrix spanned by space of the achievable eigenvectors are selected as a desired eigenvectors. Also, this paper proposes how to select the desired eigenvector based on the measure of observability and designs the observer with small gain. An example of a spindle drive system is simulated to validate the robustness to the ill-conditioning factors in the observer performance.

Transfer Alignment Using Velocity Matching/Parameter Tuning and Its Performance and Observability Analysis (속도정합 및 매개변수 조정을 사용한 전달정렬의 성능 및 가관측성 분석)

  • Yang, Cheol-Kwan;Park, Ki-Young;Kim, Hyoung-Min;Shim, Duk-Sun
    • Journal of Advanced Navigation Technology
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    • v.19 no.5
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    • pp.389-394
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    • 2015
  • This paper considers the transfer alignment in the inertial navigation system which has lever-arm and the time delay in the velocity measurement. We suggest a method to improve the performance of the velocity matching. First, we analyze the estimation performance of the velocity matching through the tuning of the two covariance matrices of process noise and measurement noise. Next we provide some maneuvering conditions of the vehicles to improve the estimation performance using the observability analysis. The analysis results are verified using the computer simulations, which show that cruise movements do not provide the azimuth estimation of the vehicles, while east or north accelerating movement can provide.

Optimal Placement of Sensors and Actuators Using Measures of Modal Controllability and Observability in a Balanced Coordinate

  • Park, Un-Sik;Choi, Jae-Weon;Yoo, Wan-Suk;Lee, Man-Hyung;Son, Kwon;Lee, Jang-Myung;Lee, Min-Cheol;Han, Sung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.17 no.1
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    • pp.11-22
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    • 2003
  • In this paper, a method for optimal placement of sensors and actuators is presented by using new measures of modal controllability and observability defined in a balanced coordinate system. The proposed new measures are shown to have a great advantage in practical use when they are used as criteria for selecting the locations of sensors and actuators, since the most controllable and observable locations can be obtained to be identical. In addition, they are more accurate than the measures of Hamdan and Nayfeh in that the effects of the eigenvector norm are considered into the magnitude of measures. In simulations, to verify the effectiveness of the proposed measures and optimal placement method, the closed-loop response of a simply supported flexible beam, in which the number and locations of actuators are determined by using the proposed measures and optimal placement method, has been examined and compared with the case of Hamdan and Nayfeh’s measures.

A Study on the Factors Affecting Diffusion of Open Source Software (공개소프트웨어 도입 및 확산의 영향요인 연구)

  • Kwon, Moon Ju;Park, Seong-Taek;Kim, Tae Ung
    • Journal of Digital Convergence
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    • v.10 no.11
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    • pp.225-234
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    • 2012
  • OSS(Open source software) pursues the freedom to have access to open source and offers several advantages, over the proprietary software, to enterprises. Based upon Rogers(1995)' innovation-diffusion process, we assume that attributes of innovations includes five characteristics of innovations: relative advantage, compatibility, complexity, trialability, and observability, and that firms' perceptions of these characteristics predict the rate of adoption of OSS. To test this hypothesis, we presents a survey result from 201 companies and institutions concerning the use of OSS. Statistical analysis shows that adoption is highly correlated with each of those characteristics of innovations, but the regression analysis indicates that only compatibility and observability have effects on the adoption of OSS. This implies that intrinsic value of OSS is important, but unless the appropriate service package for improving IT environment is provided, it is not easy to change the perspective of corporate customers more favorable toward OSS use. As a conclusion, the academic and practical implications are also discussed.

A controller design for multirate sampled-data systems (Multirate 표본 데이타시스템에 대한 제어기 설계)

  • 이상정;김영백
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.40-46
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    • 1993
  • In this paper, we design a multirate controller for a given multirate sampled-data system which has a periodic output measurement scheme. A sufficient condition for maintaining observability in multirate sampled-data systems is given first. The design strategy for disturbance rejection is proposed. The proposed controller has IMC structure, and can be deomposed into a disturbance estimator and the inverse of fast plants.

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Output Feedback Stabilization of Non-Minimum Phase Nonlinear Systems

  • Jo, Nam-H.;Son, Young-I.;Shim, Hyung-Bo
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.60.1-60
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    • 2002
  • . an output feedback stabilizing controller for non-minimum phase nonlinear systems . Assumption 1 : the Jacobi linearization of the given nonlinear linear system is controllable . Assumption 2: an appropriate transformation which transforms the zero dynamics into a special form . Assumption 3: the system satisfies the observability rank condition . Augmentation of systems by augmented by a chain of integrators

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CONTROLLABILITY OF GENERALIZED FRACTIONAL DYNAMICAL SYSTEMS

  • K. Balachandran
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.1115-1125
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    • 2023
  • This paper deals with the controllability of linear and nonlinear generalized fractional dynamical systems in finite dimensional spaces. The results are obtained by using fractional calculus, Mittag-Leffler function and Schauder's fixed point theorem. Observability of linear system is also discussed. Examples are given to illustrate the theory.