• Title/Summary/Keyword: Singular System

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Sliding mode control of induction motors based on reduced order model

  • Hashimoto, Hideki;Ishikawa, Yoji;Harashima, Fumio;Rudef, Alexander;Utkin, Vadim-I.
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1607-1610
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    • 1991
  • It is difficult to design the controller of an induction motor because of its non-linearity and high order dynamics. But it is possible to get reduced order system using the theory of singular pertubation because the dynamics of induction motor consists of fast stable mode and slow one. On the other hand, the sliding mode control is well-known for its performance of robustness. This paper deals with the sliding mode controller of induction motors based on the reduced order system.

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A FIFTH ORDER NUMERICAL METHOD FOR SINGULARLY PERTURBED DIFFERENTIAL-DIFFERENCE EQUATIONS WITH NEGATIVE SHIFT

  • Chakravarthy, P. Pramod;Phaneendra, K.;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.441-452
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    • 2009
  • In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well.

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The Robust Controller Design for Lateral Control of Vehicles (차량의 횡방향 모델에 대한 강인 제어기 설계)

  • 김은주;하성기;정승권;이만형
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.496-499
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    • 2002
  • The LQG/LTR controller is a robust and stable control which is systematic method with a view of engineering. And the H$^{\infty}$ scheme is adopted for the design of the controller to reduce the effects of the disturbances. In this paper, LQG/LTR and H$^{\infty}$ Controller Design of Lateral Control System for an Automobile is developed with 3 DOF (degree-of-freedom) model. The performance has been compared for the employed two types of controllers via computed simulations. The results show that the H$^{\infty}$ controller provides more robustness property for the disturbances and lower control input.

Dimensional Analysis for the Front Chassis Module in the Auto Industry (자동차 프런트 샤시 모듈의 좌표 해석)

  • 이동목;양승한
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.8
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    • pp.50-56
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    • 2004
  • The directional ability of an automobile has an influence on driver directly, and hence it must be given most priority. Alignment factors of automobile such as the camber, caster and toe directly affect the directional ability of a vehicle. The above mentioned factors are determined by the pose of interlinks in the assembly of an automobile front chassis module. Measuring the position of center point of ball joints in the front lower arm is very difficult. A method to determine this position is suggested in this paper. Pose estimation for front chassis module and dimensional evaluation to find the rotational characteristics of front lower arm were developed based on fundamental geometric techniques. To interpret the inspection data obtained for front chassis module, 3-D best fit method is needed. The best fit method determines the relationship between the nominal design coordinate system and the corresponding feature coordinate system. The least squares method based on singular value decomposition is used in this paper.

The Robust Controller Design for Lateral Control of Vehicles (차량의 횡방향 모델분석 및 제어기 설계)

  • 김은주;하성기;배종일;이만형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.318-321
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    • 2002
  • The LQG/LTR controller is a robust and stable control which is systematic method with a view of engineering. And the H$^{\infty}$ scheme is adopted for the design of the controller to reduce the effects of the disturbances. In this paper, LQG/LTR and H$^{\infty}$ Controller Design of Lateral Control System for an Automobile is developed with 3 DOF (degree-of-freedom) model. The performance has been compared for the employed two types of controllers via computed simulations. The results show that the H$^{\infty}$ controller provides more robustness property for the disturbances and lower control input.

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INTERACTIVE FEATURE EXTRACTION FOR IMAGE REGISTRATION

  • Kim Jun-chul;Lee Young-ran;Shin Sung-woong;Kim Kyung-ok
    • Proceedings of the KSRS Conference
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    • 2005.10a
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    • pp.641-644
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    • 2005
  • This paper introduces an Interactive Feature Extraction (!FE) approach for the registration of satellite imagery by matching extracted point and line features. !FE method contains both point extraction by cross-correlation matching of singular points and line extraction by Hough transform. The purpose of this study is to minimize user's intervention in feature extraction and easily apply the extracted features for image registration. Experiments with these imagery dataset proved the feasibility and the efficiency of the suggested method.

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Identification of Linear Model of Tandem Cold Mill Using N4SID Algorithm (N4SID 알고리즘을 이용한 연속 냉간 압연기의 선형모델 규명)

  • 엄상오;황이철;김윤식;김종윤;박영산
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.4
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    • pp.895-905
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    • 1999
  • This paper identifies a linear time-invariant mathematical model of each stand of a five-stand tandem cold mill to design a robust $H_\infty$ thickness controller by applying input and output data sets to N4SID (Numerical algorithms for Subspace State Space System Identification) method. The input-output data sets describe interstand interference in the process of tandem cold rolling and are obtained from a nonlinear simulator of the tandem cold mill. In result, it is shown that the identified model well approximates the nonlinear model than a Taylor linearized model. Furthermore, uncertainties including roll eccentricity and incoming strip variation are quantitatively analyzed from the plot of maximum singular values.

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Discrete Wavelet Transform and a Singular Value Decomposition Technique for Watermarking Based on an Adaptive Fuzzy Inference System

  • Lalani, Salima;Doye, D.D.
    • Journal of Information Processing Systems
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    • v.13 no.2
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    • pp.340-347
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    • 2017
  • A watermark is a signal added to the original signal in order to preserve the copyright of the owner of the digital content. The basic challenge for designing a watermarking system is a dilemma between transparency and robustness. If we want a higher rate of transparency, there has to be a compromise in terms of its robustness and vice versa. Also, until now, watermarking is generalized, resulting in the need for a specialized algorithm to work for a specialized image processing application domain. Our proposed technique takes into consideration the image characteristics for watermark insertion and it optimizes transparency and robustness. It achieved a 99.98% retrieval efficiency for an image blurring attack and counterfeits other attacks. Our proposed technique counterfeits almost all of the image processing attacks.

NUMERICAL SOLUTION FOR ROBOT ARM PROBLEM USING LIMITING FORMULAS OF RK(7,8)

  • Senthilkumar, S.
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.793-809
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    • 2008
  • The aim of this article is focused on providing numerical solutions for system of second order robot arm problem using the RK-eight stage seventh order limiting formulas. The parameters governing the arm model of a robot control problem have also been discussed through RK-eight stage seventh order limiting algorithm. The precised solution of the system of equations representing the arm model of a robot has been compared with the corresponding approximate solutions at different time intervals. Results and comparison show the efficiency of the numerical integration algorithm based on the absolute error between the exact and approximate solutions. Based on the numerical results a thorough comparison is carried out between the numerical algorithms.

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PARAMETER-UNIFORM NUMERICAL METHOD FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH MIXED TYPE BOUNDARY CONDITIONS

  • Tamilselvan, A.;Ramanujam, N.;Priyadharshini, R. Mythili;Valanarasu, T.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.109-130
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    • 2010
  • In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with the mixed type boundary conditions is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.