• Title/Summary/Keyword: multiple linear and nonlinear

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IMC design for nonlinear plants using multiple models, controllers, and switching (다중 모델, 제어기, 스위칭을 이용한 비선형 플랜트의 IMC 제어기 설계)

  • 오원근;구세완;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.241-244
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    • 1996
  • This paper discusses the general properties and the design procedures of Internal Model Control(IMC) scheme for nonlinear plants. Also we propose new nonlinear IMC(NIMC) design method using linear IMC. Although all IMC controllers can be thought simple 'inverse controller', its nonlinear realization is not easy. Propose NIMC is composed multiple linear models, IMC controllers, and switching scheme. The advantages of this method are we can use simple linear IMC design method and need not nonlinear modelings.

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Traffic Accident Models of 3-Legged Signalized Intersections in the Case of Cheongju (3지 신호교차로의 교통사고 발생모형 - 청주시를 사례로 -)

  • Park, Byung-Ho;Han, Sang-Uk;Kim, Tae-Young
    • Journal of the Korean Society of Safety
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    • v.24 no.2
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    • pp.94-99
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    • 2009
  • This study deals with the traffic accidents at the 3-legged signalized intersections in Cheongu. The goals are to analyze the geometric, traffic and operational conditions of intersections and to develop a various functional forms that predict the accidents. The models are developed through the correlation analysis, the multiple linear, the multiple nonlinear, Poisson and negative binomial regression analysis. In this study, two multiple linear, two multiple nonlinear and two negative binomial regression models were calibrated. These models were all analyzed to be statistically significant. All the models include 2 common variables(traffic volume and lane width) and model-specific variables. These variables are, therefore, evaluated to be critical to the accident reduction of Cheongju.

Sequential Loop Closing Identification of Hammerstein Models for Multiple-Input Multiple-Output Processes (다변수 Hammerstein 공정의 순차 확인법)

  • Park Ho Cheol;Koo Doe Gyoon;Lee Moon Yong;Lee Jietae
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.12
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    • pp.1280-1286
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    • 2004
  • A lot of industrial chemical processes contain certain input nonlinearities even though they are controlled by several linear controllers. Here we investigate a sequential loop closing identification method for MIMO Hammerstein nonlinear processes with diagonal nonlinearities. The proposed method separates the identification of the nonlinear static function from that of the linear subsystem by using a relay feedback test and a triangular type signal test. From 2 n activations for n n MIMO nonlinear processes, we sequentially identify the whole range of the nonlinear static function as well as the transfer function matrix of the linear subsystem.

IMC design for nonlinear plants using multiple models, controllers, and switching (다중 모델, 제어기, 스위칭을 이용한 비선형 플랜트의 IMC 제어기 설계)

  • 오원근;서병설
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.11
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    • pp.22-30
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    • 1996
  • In this paper, the properties and the design procedures of the internal model control (IMC) structures are discussed and a new nonlinear IMC(NIMC) strategy is proposed. The IMC controllers are simply inverse controller in principle but the development of a NIMC poses difficulties due to the inherent complexity of nonlinear systems. Existing design mehtods are a few and not easy to implement. The proposed approach is using multiple linear models, linear IMC controllers, and swiching scheme instead of using nonlinear model/controller. The advantages of the new approach are that we can use linear IMC mehtod which are now well estabilished and need not global nonlinear models.

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New Methodology to Develop Multi-parametric Measure of Heart Rate Variability Diagnosing Cardiovascular Disease

  • Jin, Seung-Hyun;Kim, Wuon-Shik;Park, Yong-Ki
    • International Journal of Vascular Biomedical Engineering
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    • v.3 no.2
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    • pp.17-24
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    • 2005
  • The main purpose of our study is to propose a new methodology to develop the multi-parametric measure including linear and nonlinear measures of heart rate variability diagnosing cardiovascular disease. We recorded electrocardiogram for three recumbent postures; the supine, left lateral, and right lateral postures. Twenty control subjects (age: $56.70{\pm}9.23$ years), 51 patients with angina pectoris (age: $59.98{\pm}8.41$ years) and 13 patients with acute coronary syndrome (age: $59.08{\pm}9.86$ years) participated in this study. To develop the multi-parametric measure of HRV, we used the multiple discriminant analysis method among statistical techniques. As a result, the multiple discriminant analysis gave 75.0% of goodness of fit. When the linear and nonlinear measures of HRV are individually used as a clinical tool to diagnose cardiac autonomic function, there is quite a possibility that the wrong results will be obtained due to each measure has different characteristics. Although our study is a preliminary one, we suggest that the multi-parametric measure, which takes into consideration the whole possible linear and nonlinear measures of HRV, may be helpful to diagnose the cardiovascular disease as a diagnostic supplementary tool.

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A Nonlinear Information Filter for Tracking Maneuvering Vehicles in an Adaptive Cruise Control Environment

  • Kim, Yong-Shik;Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1669-1674
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    • 2004
  • In this paper, a nonlinear information filter (IF) for curvilinear motions in an interacting multiple model (IMM) algorithm to track a maneuvering vehicle on a road is investigated. Driving patterns of vehicles on a road are modeled as stochastic hybrid systems. In order to track the maneuvering vehicles, two kinematic models are derived: A constant velocity model for linear motions and a constant-speed turn model for curvilinear motions. For the constant-speed turn model, a nonlinear IF is used in place of the extended Kalman filter in nonlinear systems. The suggested algorithm reduces the root mean squares error for linear motions and rapidly detects possible turning motions.

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MULTIPLE SOLUTIONS FOR THE NONLINEAR HAMILTONIAN SYSTEM

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • v.17 no.4
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    • pp.507-519
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    • 2009
  • We give a theorem of the existence of the multiple solutions of the Hamiltonian system with the square growth nonlinearity. We show the existence of m solutions of the Hamiltonian system when the square growth nonlinearity satisfies some given conditions. We use critical point theory induced from the invariant function and invariant linear subspace.

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Developing Rear-End Collision Models of Roundabouts in Korea (국내 회전교차로의 추돌사고 모형 개발)

  • Park, Byung Ho;Beak, Tae Hun
    • Journal of the Korean Society of Safety
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    • v.29 no.6
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    • pp.151-157
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    • 2014
  • This study deals with the rear-end collision at roundabouts. The purpose of this study is to develop the accident models of rear-end collision in Korea. In pursuing the above, this study gives particular attention to developing the appropriate models using Poisson, negative binomial model, ZAM, multiple linear and nonlinear regression models, and statistical analysis tools. The main results are as follows. First, the Vuong statistics and overdispersion parameters indicate that ZIP is the most appropriate model among count data models. Second, RMSE, MPB, MAD and correlation coefficient tests show that the multiple nonlinear model is the most suitable to the rear-end collision data. Finally, such the independent variables as traffic volume, ratio of heavy vehicle, number of circulatory roadway lane, number of crosswalk and stop line are adopted in the optimal model.

Validity of the Multiple Scale Solution for a Resonance Response of a Bar with a Nonlinear Boundary Condition (비선형 경계조건을 가진 봉의 공진응답을 위한 다중시간해의 타당성)

  • 이원경;여명환;배상수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.275-281
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    • 1996
  • In order to examine the validity of an asymptotic solution obtained from the method of multiple scales, we investigate a third-order subharmonic resonance response of a bar constrained by a nonlinear spring to a harmonic excitation. The motion of the bar is governed by a linear partial differential equation with a nonlinear boundary condition. The nonlinear boundary value problem is solved by using the finite difference method. The numerical solution is compared with the asymptotic solution.

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The new flat shell element DKMGQ-CR in linear and geometric nonlinear analysis

  • Zuohua Li;Jiafei Ning;Qingfei Shan;Hui Pan;Qitao Yang;Jun Teng
    • Computers and Concrete
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    • v.31 no.3
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    • pp.223-239
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    • 2023
  • Geometric nonlinear performance simulation and analysis of complex modern buildings and industrial products require high-performance shell elements. Balancing multiple aspects of performance in the one geometric nonlinear analysis element remains challenging. We present a new shell element, flat shell DKMGQ-CR (Co-rotational Discrete Kirchhoff-Mindlin Generalized Conforming Quadrilateral), for linear and geometric nonlinear analysis of both thick and thin shells. The DKMGQ-CR shell element was developed by combining the advantages of high-performance membrane and plate elements in a unified coordinate system and introducing the co-rotational formulation to adapt to large deformation analysis. The effectiveness of linear and geometric nonlinear analysis by DKMGQ-CR is verified through the tests of several classical numerical benchmarks. The computational results show that the proposed new element adapts to mesh distortion and effectively alleviates shear and membrane locking problems in linear and geometric nonlinear analysis. Furthermore, the DKMGQ-CR demonstrates high performance in analyzing thick and thin shells. The proposed element DKMGQ-CR is expected to provide an accurate, efficient, and convenient tool for the geometric nonlinear analysis of shells.