• 제목/요약/키워드: Linearization method

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Recovery of 3-D Motion from Time-Varying Image Flows

  • Wohn, Kwang-Yun;Jung, Soon-Ki
    • Journal of Electrical Engineering and information Science
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    • v.1 no.2
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    • pp.77-86
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    • 1996
  • In this paper we deal with the problem of recovering 3-D motion and structure from a time-varying 2-D velocity vector field. A great deal has been done on this topic, most of which has concentrated on finding necessary and sufficient conditions for there to be a unique 3-D solution corresponding to a given 2-D motion. While previous work provides useful theoretical insight, in most situations the known algorithms have turned out to be too sensitive to be of much practical use. It appears that any robust algorithm must improve the 3-D solutions over time. As a step toward such algorithm, we present a method for recovering 3-D motion and structure from a given time-varying 2-D velocity vector field. The surface of the object in the scene is assumed to be locally planar. It is also assumed that 3-D velocity vectors are piecewise constant over three consecutive frames (or two snapshots of flow field). Our formulation relates 3-D motion and object geometry with the optical flow vector as well as its spatial and temporal derivatives. The linearization parameters, or equivalently, the first-order flow approximation (in space and time) is sufficient to recover rigid body motion and local surface structure from the local instantaneous flow field. We also demonstrate, through a sensitivity analysis carried out for synthetic and natural motions in space, that 3-D motion can be recovered reliably.

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A novel aerodynamic vibration and fuzzy numerical analysis

  • Timothy Chen;Yahui Meng;Ruei-Yuan Wang;ZY Chen
    • Wind and Structures
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    • v.38 no.3
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    • pp.161-170
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    • 2024
  • In recent years, there have been an increasing number of experimental studies showing the need to include robustness criteria in the design process to develop complex active control designs for practical implementation. The paper investigates the crosswind aerodynamic parameters after the blocking phase of a two-dimensional square cross-section structure by measuring the response in wind tunnel tests under light wind flow conditions. To improve the accuracy of the results, the interpolation of the experimental curves in the time domain and the analytical responses were numerically optimized to finalize the results. Due to this combined effect, the three aerodynamic parameters decrease with increasing wind speed and asymptotically affect the upper branch constants. This means that the aerodynamic parameters along the density distribution are minimal. Taylor series are utilized to describe the fuzzy nonlinear plant and derive the stability analysis using polynomial function for analyzing the aerodynamic parameters and numerical simulations. Due to it will yield intricate terms to ensure stability criterion, therefore we aim to avoid kinds issues by proposing a polynomial homogeneous framework and utilizing Euler's functions for homogeneous systems. Finally, we solve the problem of stabilization under the consideration by SOS (sum of squares) and assign its fuzzy controller based on the feasibility of demonstration of a nonlinear system as an example.

Flight Dynamics Analyses of a Propeller-Driven Airplane (II): Building a High-Fidelity Mathematical Model and Applications

  • Kim, Chang-Joo;Kim, Sang Ho;Park, TaeSan;Park, Soo Hyung;Lee, Jae Woo;Ko, Joon Soo
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.4
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    • pp.356-365
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    • 2014
  • This paper is the second in a series and aims to build a high-fidelity mathematical model for a propeller-driven airplane using the propeller's aerodynamics and inertial models, as developed in the first paper. It focuses on aerodynamic models for the fuselage, the main wing, and the stabilizers under the influence of the wake trailed from the propeller. For this, application of the vortex lattice method is proposed to reflect the propeller's wake effect on those aerodynamic surfaces. By considering the maneuvering flight states and the flow field generated by the propeller wake, the induced velocity at any point on the aerodynamic surfaces can be computed for general flight conditions. Thus, strip theory is well suited to predict the distribution of air loads over wing components and the viscous flow effect can be duly considered using the 2D aerodynamic coefficients for the airfoils used in each wing. These approaches are implemented in building a high-fidelity mathematical model for a propeller-driven airplane. Flight dynamic analysis modules for the trim, linearization, and simulation analyses were developed using the proposed techniques. The flight test results for a series of maneuvering flights with a scaled model were used for comparison with those obtained using the flight dynamics analysis modules to validate the usefulness of the present approaches. The resulting good correlations between the two data sets demonstrate that the flight characteristics of the propeller-driven airplane can be analyzed effectively through the integrated framework with the propeller and airframe aerodynamic models proposed in this study.

Digital Predistortion for Multi-band/Multi-mode Transmission Systems (다중 대역 전송 시스템을 위한 전치왜곡 알고리즘)

  • Choi, Sung-Ho;Lee, Byung-Hwan;Lee, Chul-Soo;Jeong, Eui-Rim
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.1
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    • pp.48-58
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    • 2012
  • New digital predistortion technique is proposed for power amplifier linearization in multi-band transmission systems. We consider a system where muli-band signals are combined and amplified by a single power amplifier (PA). In this system, the PA output is distorted by the nonlinear cross-products between different band signals as well as their own nonlinear self-products. To compensate these nonlinear effects, we propose a multiple PD structure. Each PD removes the nonlinear cross-products and self-products to mitigate the spectral regrowth for the corresponding band. Since the PD parameters for different bands are linked together, it is difficult to find the PD parameters separately. Thus, we propose an iterative method for finding the PD parameters jointly. For demonstration of the proposed method, multi-band characteristics of PA are extracted from a commercial power amplifier. Computer simulation was executed based on the PA parameters. The simulation results show that the proposed method can effectively linearize the PA and remove spectral regrowth at each signal band.

New three-layer-type hysteretic damper system and its damping capacity

  • Kim, Hyeong Gook;Yoshitomi, Shinta;Tsuji, Masaaki;Takewaki, Izuru
    • Earthquakes and Structures
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    • v.3 no.6
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    • pp.821-838
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    • 2012
  • This paper proposes a new three-layer pillar-type hysteretic damper system for residential houses. The proposed vibration control system has braces, upper and lower frames and a damper unit including hysteretic dampers. The proposed vibration control system supplements the weaknesses of the previously proposed post-tensioning vibration control system in the damping efficiency and cumbersomeness of introducing a post-tension. The structural variables employed in the damper design are the stiffness ratio ${\kappa}$, the ductility ratio ${\mu}_a$, and the ratio ${\beta}$ of the damper's shear force to the maximum resistance. The hysteretic dampers are designed so that they exhibit the targeted damping capacity at a specified response amplitude. Element tests of hysteretic dampers are carried out to examine the mechanical property and to compare its restoring-force characteristic with that of the analytical model. Analytical studies using an equivalent linearization method and time-history response analysis are performed to investigate the damping performance of the proposed vibration control system. Free vibration tests using a full-scale model are conducted in order to verify the damping capacity and reliability of the proposed vibration control system. In this paper, the damping capacity of the proposed system is estimated by the logarithmic decrement method for the response amplitudes. The accuracy of the analytical models is evaluated through the comparison of the test results with those of analytical studies.

Improvement of SLAM Using Invariant EKF for Autonomous Vehicles (Invariant EKF를 사용한 자율 이동체의 SLAM 개선)

  • Jeong, Da-Bin;Ko, Nak-Yong;Chung, Jun-Hyuk;Pyun, Jae-Young;Hwang, Suk-Seung;Kim, Tae-Woon
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.2
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    • pp.237-244
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    • 2020
  • This paper describes an implement of Simultaneous Localization and Mapping(SLAM) in two dimensional space. The method uses Invariant Extended Kalman Filter(IEKF), which transforms the state variables and measurement variables so that the transformed variables constitute a linear space when variables called the invariant quantities are kept constant. Therefore, the IEKF guarantees convergence provided in the invariant quantities are kept constant. The proposed IEKF approach uses Lie group matrix for the transformation. The method is tested through simulation, and the results show that the Kalman gain is constant as it is the case for the linear Kalman filter. The coherence between the estimated locations of the vehicle and the detected objects verifies the estimation performance of the method.

Nonlinear Acceleration Controller Design for DACS Type Kill Vehicle (DACS형 직격요격비행체의 비선형 가속도 조종루프 설계)

  • Lee, Chang-Hun;Kim, Tae-Hun;Jun, Byung-Eul
    • Journal of the Korean Society of Propulsion Engineers
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    • v.19 no.3
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    • pp.54-64
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    • 2015
  • This paper deals with an acceleration controller design for a kill vehicle equipped with a divert and attitude control system (DACS). In the proposed method, the attitude control system (ACS) is used to produce the thrust command to nullify angle-of-attack. For the angle-of-attack control, a nonlinear angle-of-attack controller is proposed based on the feedback linearization methodology. Since the flight path angle is identical to the attitude angle under the condition of zero angle-of-attack, the divert control system (DCS) can directly produce the lateral acceleration which is demanded from the guidance loop. In the proposed method, we can minimize the aerodynamic uncertainty due to the propulsive force. Additionally, we can simplify the operation logic of DCS and ACS. In this paper, nonlinear simulations are performed to show the performance of the proposed method.

The engineering merit of the "Effective Period" of bilinear isolation systems

  • Makris, Nicos;Kampas, Georgios
    • Earthquakes and Structures
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    • v.4 no.4
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    • pp.397-428
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    • 2013
  • This paper examines whether the "effective period" of bilinear isolation systems, as defined invariably in most current design codes, expresses in reality the period of vibration that appears in the horizontal axis of the design response spectrum. Starting with the free vibration response, the study proceeds with a comprehensive parametric analysis of the forced vibration response of a wide collection of bilinear isolation systems subjected to pulse and seismic excitations. The study employs Fourier and Wavelet analysis together with a powerful time domain identification method for linear systems known as the Prediction Error Method. When the response history of the bilinear system exhibits a coherent oscillatory trace with a narrow frequency band as in the case of free vibration or forced vibration response from most pulselike excitations, the paper shows that the "effective period" = $T_{eff}$ of the bilinear isolation system is a dependable estimate of its vibration period; nevertheless, the period associated with the second slope of the bilinear system = $T_2$ is an even better approximation regardless the value of the dimensionless strength,$Q/(K_2u_y)=1/{\alpha}-1$, of the system. As the frequency content of the excitation widens and the intensity of the acceleration response history fluctuates more randomly, the paper reveals that the computed vibration period of the systems exhibits appreciably scattering from the computed mean value. This suggests that for several earthquake excitations the mild nonlinearities of the bilinear isolation system dominate the response and the expectation of the design codes to identify a "linear" vibration period has a marginal engineering merit.

A Study on Improvement of Linearity and Efficiency Compensation in a Doherty Power Amplifier (Doherty 전력증폭기의 선형성 개선과 효율 보상 방안에 관한 연구)

  • Jang, Jeong-Seok;Do, Ji-Hoon;Yun, Ho-Seok;Kim, Dae-Hee
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.8 no.2
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    • pp.75-82
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    • 2009
  • This paper proposes a method which increases the linearity using an improvement mechanism of Doherty power amplifier and compensates the decrement of efficiency due to improvement of linearity. To verify the method, a 20W power amplifier is designed and implemented. Compared with 2-way Doherty power amplifier, the implemented 3-way Doherty power amplifier with class F shows improved linearity about 10dBc and efficiency about 1.5%. Also, efficiency characteristic has been improved about 3.5% compared with the 2-way Doherty power amplifier while maintaining linearity. This results show that the proposed 3-way Doherty power amplifier with class F is shown to be adequate for improvement of efficiency and linearity. It is expected that the proposed amplifier can be used for various wireless communication system amplifiers.

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Effect of Bandwidth of Random Stresses on Fatigue Life Estimations of Offshore Structures (해양구조물의 피로해석시 랜덤응력의 Bandwidth의 영향)

  • Ryu, Jeong Soo;Yun, Chung Bang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.2
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    • pp.85-91
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    • 1986
  • Fatigue life is an important consideration for the design of offshore structures in deep sea and in hostile environments. In this paper, the effect of the bandwidth of random stresses on the fatigue life estimation of fixed offshore structures is investigated. The dynamic analysis is carried out in the frequency domain by using the equivalent linearization technique. Fatigue damages are calculated by two stress cycle counting methods; i.e., the narrow band method and the wide band method using rainflow counting technique. Example studies are carried out for two different structures. Numerical results indicate that the wide band approach, which is more complex but theoretically more appropriate pridicts smaller values of fatigue damages compared with those by the narrow band approach for all seastate conditions. Such trend becomes more apparent for the cases of severe seastates where the bandwidth of random stresses becomes large.

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