• Title/Summary/Keyword: equivalent linear model

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On the Linearization of the Discrete-time Nonlinear Systems, $x_{k+1}=G_{u_k}{o}F{(x_k)}$ (비선형 이산 시간 시스템 $x_{k+1}=G_{u_k}{o}F{(x_k)}$ 의 선형화에 관하여)

  • Nam, Kwang-Hee
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.125-128
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    • 1987
  • We investigate the feedback linearizability of nonlinear discrete-time system s of a specific form, $x_k=G_{u_k}oF(x_k)$ where F is a diffeomorphism and [$G_{u_k}$] forms an one parameter group of diffeomorphisms. This structure represents a class of systems which are state equivalent to linear ones and approximates the sampled data model of a continuous-time system. It is also considered a relationship between linearizability and discretization.

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Active Vibration Control of Smart Hull Structure Using MFC Actuators (MFC 작동기를 이용한 스마트 Hull 구조물의 능동 진동 제어)

  • Sohn, Jung-Woo;Kim, Heung-Soo;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.217-222
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    • 2005
  • Active vibration control of smart hull structure using Macro Fiber Composite (MFC) actuator is performed. Finite element modeling is used to obtain governing equations of motion and boundary effects of end-capped smart hull structure. Equivalent interdigitated electrode model is developed to obtain piezoelectric couplings of MFC actuator. Modal analysis is conducted to investigate the dynamic characteristics of the hull structure, and compared to the results of experimental investigation. MFC actuators are attached where the maximum control performance can be obtained. Active controller based on Linear Quadratic Gaussian (LQG) theory is designed to suppress vibration of smart hull structure. It is observed that closed loop damping can be improved with suitable weighting factors in the developed LQG controller and structural vibration is controlled effectively.

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Devised New Amorphous Alloys for Magneetoelastic Resonators (Magneetoelastic Resonators에 사용되는 새로운 비정질 함금)

  • C. K. Kim; C. K. Yoo; R.C. O'Handley
    • Journal of Surface Science and Engineering
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    • v.31 no.5
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    • pp.245-250
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    • 1998
  • There is clear pressing need to reduce bias field(Ha,) used on linear magenetomechanical resonator tag by at least a factor of two to allow low-bias operation near the frequency minimum since reducing Ha causes a dramatic increase in well depth, which implies increased stability. However, this makes it more difficult to maintain tight frequncy specs. It can be solved by a reduction of magnetomechanical coupling(k). We determined from an equivalent circuit model that optimal reduced, k, is near 0.3 Also, We determiend the material properties($lambda_s$, :saturated magenetostriction, $M_s$, and,$H_a$) that give k=0.3. From these evaluations, we suggested that on optimal comosition with adequate mathrial properties is $Fe_{55}Co_{15}Cr_6Nb_2B_{18}Si_4$.

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Non-tubular bonded joint under torsion: Theory and numerical validation

  • Pugno, Nicola;Surace, Giuseppe
    • Structural Engineering and Mechanics
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    • v.10 no.2
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    • pp.125-138
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    • 2000
  • The paper analyzes the problem of torsion in an adhesive non-tubular bonded single-lap joint. The joint considered consists of two thin rectangular section beams bonded together along a side surface. Assuming the materials involved to be governed by linear elastic laws, equilibrium and compatibility equations were used to arrive at an integro-differential relation whose solution makes it possible to determine torsional moment section by section in the bonded joint between the two beams. This is then used to determine the predominant stress and strain field at the beam-adhesive interface (stress field along the direction perpendicular to the interface plane, equivalent to the applied torsional moment and the corresponding strain field) and the joint's elastic strain (absolute and relative rotations of the bonded beam cross sections). All the relations presented were obtained in closed form. Results obtained theoretically are compared with those given by a three dimensional finite element numerical model. Theoretical and numerical analysis agree satisfactorily.

A Study on Dynamic Parameter Design Procedure Considering the Signal Factor and the Quality Characteristics with Continuous Variable (신호인자와 특성치가 연속형 변수인 경우를 고려한 동적파라미터 설계 절차에 관한 연구)

  • 배홍석;이만웅;송서일
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.39
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    • pp.243-254
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    • 1996
  • In this study, a model and an analysis method for parameter design is presented a linear relation between the input signal and the ideal value of a performance characteristic. Furthermore, There presented a new performance measure, expected quality loss after adjustment, which is proved to be equivalent to Taguchi's SN ratio approximately. On the basis of this, a two-step optimization procedure is proposed for parameter design considering the signal factor and the quality characteristics with continuous variable. Proposed procedure and Taguchi two-stage procedure are compared.

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Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

  • Anilay, Worku Tilahun;Duressa, Gemechis File;Woldaregay, Mesfin Mekuria
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.591-612
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    • 2021
  • In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

A Study on Eddy-current Probe with Ferrite Cores over a Layered Half-Space (레이어가 있는 하프스페이스에서 페라이트코아가 있는 와류탐침에 대한 연구)

  • Kim, T.W.;Byun, K.R.;Choi, J.H.;Kang, E.S.;Hwang, H.J.
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.613-616
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    • 1998
  • In this paper, a model of a Eddy-current probe coil with a ferrite core in the presence of a half-space with a layer is developed. The half-space with a layer is accounted for by computing the appropriate Green's function by using Bessel transforms. Upon introducing equivalent Amperian currents within a core to explain effect to a impedance change in the coil due to a (ferrite) core, we derive a volume integral equation, The integral equation is transformed via the method of moments into a vector-matrix equation, which is then solved using a linear equation solver. Through the above processing, we computed impedance value in a Eddy-current probe coil due to a conductivity change of layer.

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Jitter Analysis for the PLL in the Baseband Signal (베이스 밴드 신호에서 PLL에 대한 지터 해석)

  • Ryu, Heunggyoon;ANN, Souguil
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.10-14
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    • 1987
  • Considering transition gating of the input unipolar NRZ signal, the equivalent linear time-invariant model has been derived for the PLL in the timing clock recovery circuits. The magnitude of the alignment and accumulated jitter has been found along a chain of repeaters. For the timing recovery circuit of 90 Mbps optical communication system, the computer simulation shows that, for the first stage of the chain, the alignment jiter and the accumulated jitter are of -5.1766 dB and for the 7-th stage, the alignment jitter and accumulated jitter have the value of -1.0193dB, 4.9053 dB respectively.

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Robust and Non-fragile $H_{\infty}$ Decentralized Fuzzy Model Control Method for Nonlinear Interconnected System with Time Delay (시간지연을 가지는 비선형 상호연결시스템의 견실비약성 $H_{\infty}$ 분산 퍼지모델 제어기법)

  • Kim, Joon-Ki;Yang, Seung-Hyeop;Kwon, Yeong-Sin;Bang, Kyung-Ho;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.6
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    • pp.64-72
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    • 2010
  • In general, due to the interactions among subsystems, it is difficult to design an decentralized controller for nonlinear interconnected systems. In this study, the model of nonlinear interconnected systems is studied via decentralized fuzzy control method with time delay and polytopic uncertainty. First, the nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type fuzzy model. And the represented model can be rewritten as Parameterized Linear Matrix Inequalities(PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting fuzzy controller guarantees the asymptotic stability and disturbance attenuation of the closed-loop system in spite of controller gain variations within a resulted polytopic region by example and simulations.

Experimentally validated FEA models of HF2V damage free steel connections for use in full structural analyses

  • Desombre, Jonathan;Rodgers, Geoffrey W.;MacRae, Gregory A.;Rabczuk, Timon;Dhakal, Rajesh P.;Chase, J. Geoffrey
    • Structural Engineering and Mechanics
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    • v.37 no.4
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    • pp.385-399
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    • 2011
  • The aim of this research is to model the behaviour of recently developed high force to volume (HF2V) passive energy dissipation devices using a simple finite element (FE) model. Thus, the end result will be suitable for use in a standard FE code to enable computationally fast and efficient analysis and design. Two models are developed. First, a detailed axial model that models an experimental setup is created to validate the approach versus experimental results. Second, a computationally and geometrically simpler equivalent rotational hinge element model is presented. Both models are created in ABAQUS, a standard nonlinear FE code. The elastic, plastic and damping properties of the elements used to model the HF2V devices are based on results from a series of quasi-static force-displacement loops and velocity based tests of these HF2V devices. Comparison of the FE model results with the experimental results from a half scale steel beam-column sub-assembly are within 10% error. The rotational model matches the output of the more complex and computationally expensive axial element model. The simpler model will allow computationally efficient non-linear analysis of large structures with many degrees of freedom, while the more complex and physically accurate axial model will allow detailed analysis of joint connection architecture. Their high correlation to experimental results helps better guarantee the fidelity of the results of such investigations.