• Title/Summary/Keyword: Inverse problem

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Adaptive Position Controller Design of Electro-hydraulic Actuator Using Approximate Model Inversion (근사적 모델 역변환을 활용한 전기-유압 액추에이터의 적응 위치 제어기 설계)

  • Lee, Kyeong Ha;Baek, Seung Guk;Koo, Ja Choon
    • The Journal of Korea Robotics Society
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    • v.11 no.2
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    • pp.92-99
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    • 2016
  • An electro-hydraulic actuator (EHA) is widely used in industrial motion systems and the increasing bandwidth of EHA position control is important issue. The model-inverse feedforward controller is known to extend the bandwidth of system. When the system has non-minimum phase (NMP) zeros, direct model inversion makes system unstable. To overcome this problem, an approximate model-inverse method is used. A representative approximate model inversion method is zero phase error tracking control (ZPETC). However, if zeros locate right half plane of z-plane, the approximate inverse model amplifies the high-frequency response. In this paper, to solve the problem of ZPETC, an adaptive model-inverse control is proposed. The adaptive algorithm updates feedforward term in real-time. The effectiveness of the proposed adaptive model-inverse position control strategy is verified by comparison with typical proportional-integral (PI) control and feedforward control by experiments. As a result, the proposed adaptive controller extends the bandwidth of EHA position control.

Time-domain Elastic Full-waveform Inversion Using One-dimensional Mesh Continuation Scheme (1차원 유한요소망 연속기법을 이용한 시간영역 탄성파의 역해석)

  • Kang, Jun Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.4
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    • pp.213-221
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    • 2013
  • This paper introduces a mesh continuation scheme for a one-dimensional inverse medium problem to reconstruct the spatial distribution of elastic wave velocities in heterogeneous semi-infinite solid domains. To formulate the inverse problem, perfectly-matched-layers(PMLs) are introduced as wave-absorbing boundaries that surround the finite computational domain truncated from the originally semi-infinite extent. To tackle the inverse problem in the PML-truncated domain, a partial-differential-equations(PDE)-constrained optimization approach is utilized, where a least-squares misfit between calculated and measured surface responses is minimized under the constraint of PML-endowed wave equations. The optimization problem iteratively solves for the unknown wave velocities with their updates calculated by Fletcher-Reeves conjugate gradient algorithms. The optimization is performed using a mesh continuation scheme through which the wave velocity profile is reconstructed in successively denser mesh conditions. Numerical results showed the robust performance of the mesh continuation scheme in reconstructing target wave velocity profile in a layered heterogeneous solid domain.

Manipulability Analysis of a New Parallel Rolling Mill Based upon Two Stewart Platforms (두 개의 스튜어트 플랫폼을 이용한 병렬형 신 압연기의 조작성 해석)

  • 이준호;홍금식
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.11
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    • pp.925-936
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    • 2003
  • The manipulability analysis of the parallel-type rolling mill proposed in Hong et al. [1] is re-visited. The parallel rolling mill uses two Stewart platforms in opposite direction for the generation of 6 degree-of-freedom motions of each roll. The objective of this new parallel rolling mill is to permit an integrated control of the strip thickness, strip shape, pair crossing angle, uniform wear of rolls, and tension of the strip. New forward/inverse kinematics problems, in contrast with [1], are formulated. The forward kinematics problem is defined as the problem of finding the roll-gap and the pair-crossing angle of two work rolls for given lengths of twelve legs. On the other hand, the inverse kinematics problem is defined as the problem of finding the lengths of twelve legs when the roll-gap, the pair-crossing angle, and the position and orientation of one work roll are given. The method of manipulability analysis used in this paper follows the spirit of [1]. But, because the rolling force and moment exerted from both upper and lower rolls have been included in the manipulability analysis, more accurate results than the use of a single platform can be achieved. Two. kinematic parameters, the radius of the base and the angle between two neighboring joints, are optimally designed by maximizing the global manipulability measure in the entire workspace.

Integrating Inverse problem to robust design for a generic drug development process (역산문제 방법을 적용한 제네릭 의약품 개발 프로세스의 강건 설계)

  • Truong, Nguyen Khoa Viet;Shin, Sang-Mun;Jeong, Seong-Hoon
    • Journal of Korean Society for Quality Management
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    • v.39 no.3
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    • pp.365-376
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    • 2011
  • Robust design (RD) has emerged as a key feature in process design and development for more than twenty years. Many researchers and industrial engineers around the world have invested their intensive efforts to develop and apply RD in many fields in order to improve quality of output products. However, there is also room for improvement. The primary objective of this research is to determine "robust formulation" of a medicine by checking its gelation index. In order to achieve this target, based on the nature of problem, at first, a customized experimental format is designed for obtaining data. Second, time-depended responses based models are developed by the proposed inverse problem (IP) methodology. Third, an RD model based on mean square error (MSE) concept is introduced for time-depended responses. Finally, the proposed approach is illustrated by a case study while comparing obtained results to the response surface methodology (RSM) approach.

A Study on Inverse Problem of Materials Forming Process using Optimization Technique and Distributed Computing (최적화 기법과 분산 컴퓨팅을 이용한 재료 성형공정의 역문제에 관한 연구)

  • Choi, Joo-Ho;Oh, Dong-Gil;Ha, Duk-Sik;Kim, Jun-Bum
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.632-639
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    • 2004
  • In this paper, an inverse problem of glass forming process is studied to determine a number of unknown heat transfer coefficients which are imposed as boundary conditions. An analysis program for transient heat conduction of axi-symmetric dimension is developed to simulate the forming and cooling process. The analysis is repeated until it attains periodic state, which requires at least 30 cycles of iteration. Measurements are made for the temperatures at several available time and positions of glass and moulds in operation. Heat removal by the cooling water from the plunger is also recorded. An optimization problem is formulated to determine heat transfer coefficients which minimize the difference between the measured data and analysis results. Significant time savings are achieved in finite difference based sensitivity computation during the optimization by employing distributed computing technique. The analysis results by the optimum heat transfer coefficients are found to agree well with the measured data.

NEW ALGORITHM FOR THE DETERMINATION OF AN UNKNOWN PARAMETER IN PARABOLIC EQUATIONS

  • Yue, Sufang;Cui, Minggen
    • The Pure and Applied Mathematics
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    • v.15 no.1
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    • pp.19-34
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    • 2008
  • A new algorithm for the solution of an inverse problem of determining unknown source parameter in a parabolic equation in reproducing kernel space is considered. Numerical experiments are presented to demonstrate the accuracy and the efficiency of the proposed algorithm.

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AN ITERATIVE METHOD FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS

  • Shang, Meijuan;Su, Yongfu
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.161-173
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    • 2009
  • In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of the variational inequality for an inverse-strongly monotone mapping and the set of solutions of an equilibrium problem in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the three sets. The results of this paper extend and improve the corresponding results announced by many others.

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Analysis of Mass Position Detection Using the Change of the Structural Dynamic Characteristics (동특성 변화로부터 구조물의 변경질량 위치 해석)

  • 이정윤
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.2
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    • pp.120-126
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    • 2004
  • This study proposed the analysis of mass position detection due to the change of the mass and strifeless of structure by using the original and modified dynamic characteristics. The method is applied to examples of the cantilevers beam and the 3 degrees of freedom system by modifying the mass. The predicted detection of the mass positions and magnitudes are in good agrement with the present study from the structural reanalysis using the modified mass.

Variable Selection in Sliced Inverse Regression Using Generalized Eigenvalue Problem with Penalties

  • Park, Chong-Sun
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.215-227
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    • 2007
  • Variable selection algorithm for Sliced Inverse Regression using penalty function is proposed. We noted SIR models can be expressed as generalized eigenvalue decompositions and incorporated penalty functions on them. We found from small simulation that the HARD penalty function seems to be the best in preserving original directions compared with other well-known penalty functions. Also it turned out to be effective in forcing coefficient estimates zero for irrelevant predictors in regression analysis. Results from illustrative examples of simulated and real data sets will be provided.

Maximum Likelihood Estimator in Two Inverse Gaussian Populatoins with Unknown Common Coefficient of Variation

  • Park, Byungjin;Kim, Keeyoung
    • Journal of the Korean Statistical Society
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    • v.30 no.1
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    • pp.99-113
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    • 2001
  • This paper deals with the problem of estimating the means in two inverse Gaussian populations with equal but unknown coefficient of variation. The maximum likelihood estimators are derived by solving a cubic equation and their asymptotic variances are presented for comparative purpose. Monte-Carlo simulation is conducted to investigate the efficiency of the estimators relative to the sample means over a wide range of values for the sample size and the coefficient of variation. The effect on this efficiency under the departure from the assumption of common coefficient of variation is also studied.

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