• Title/Summary/Keyword: Finite Feedback

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Feedback control of intelligent structures with uncertainties and its robustness analysis

  • Cao, Zongjie;Wen, Bangchun;Kuang, Zhenbang
    • Structural Engineering and Mechanics
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    • v.16 no.3
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    • pp.327-340
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    • 2003
  • Variations in system parameters due to uncertainties of parameters may result in system performance deterioration and create system internal stability problems. Uncertainties in structural modeling of structures are often considered to ensure that the control system is robust with respect to response errors. So the uncertain concept plays an important role in the analysis and design of the engineering structures. In this paper, the active control of the intelligent structures with the uncertainties is studied and a new method for analyzing the robustness of systems with the uncertainties is presented. Firstly, the system with uncertain parameters is considered as the perturbation of the system with deterministic parameters. Secondly, the feedback control law is designed on the basis of deterministic system. Thirdly, perturbation analysis and robustness analysis of intelligent structures with uncertainties are discussed when the feedback control law is applied to the original system and perturbed system. Combining the convex model of uncertainties with the finite element method, the analysis theory of the robustness of intelligent structures with the uncertainties can be developed. The description and computation of the robustness of intelligent structures with uncertain parameters is obtained. Finally, a numerical example of the application of the present method is given to show the validity of the method.

Control of free vibration with piezoelectric materials: Finite element modeling based on Timoshenko beam theory

  • Song, Myung-Kwan;Noh, Hyuk-Chun;Kim, Sun-Hoon;Han, In-Seon
    • Structural Engineering and Mechanics
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    • v.19 no.5
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    • pp.477-501
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    • 2005
  • In this study, a new smart beam finite element is proposed for the finite element modeling of beam-type smart structures that are equipped with bonded plate-type piezoelectric sensors and actuators. Constitutive equations for the direct piezoelectric effect and converse piezoelectric effect of piezoelectric materials are considered in the formulation. By using a variational principle, the equations of motion for the smart beam finite element are derived. The proposed 2-node beam finite element is an isoparametric element based on Timoshenko beam theory. The proposed smart beam finite element is applied to the free vibration control adopting a constant gain feedback scheme. The electrical force vector, which is obtained in deriving an equation of motion, is the control force equivalent to that in existing literature. Validity of the proposed element is shown through comparing the analytical results of the verification examples with those of other previous researchers. With the use of smart beam finite elements, simulation of free vibration control is demonstrated by sensing the voltage of the piezoelectric sensors and by applying the voltages to the piezoelectric actuators.

Design of a Small-Area Finite-Field Multiplier with only Latches (래치구조의 저면적 유한체 승산기 설계)

  • Lee, Kwang-Youb
    • Journal of IKEEE
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    • v.7 no.1 s.12
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    • pp.9-15
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    • 2003
  • An optimized finite-field multiplier is proposed for encryption and error correction devices. It is based on a modified Linear Feedback Shift Register (LFSR) which has lower power consumption and smaller area than prior LFSR-based finite-field multipliers. The proposed finite field multiplier for GF(2n) multiplies two n-bit polynomials using polynomial basis to produce $z(x)=a(x)^*b(x)$ mod p(x), where p(x) is a irreducible polynomial for the Galois Field. The LFSR based on a serial multiplication structure has less complex circuits than array structures and hybrid structures. It is efficient to use the LFSR structure for systems with limited area and power consumption. The prior finite-field multipliers need 3${\cdot}$m flip-flops for multiplication of m-bit polynomials. Consequently, they need 6${\cdot}$m latches because one flip-flop consists of two latches. The proposed finite-field multiplier requires only 4${\cdot}$m latches for m-bit multiplication, which results in 1/3 smaller area than the prior finite-field multipliers. As a result, it can be used effectively in encryption and error correction devices with low-power consumption and small area.

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The extremal shift method for the feedback optimal game-control problems

  • Park, Young-Sang;Andrew N. Krasovskii
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.379-379
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    • 1998
  • The report presents an approach to constructing or control algorithms for finite dimensional dynamical systems under the deficit of information about dynamical disturbances. The approach is based on the constructions of the extremal shift strategy of the differential game theory.

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Self-Sustained Tone Simulations using the Finite Difference Lattice Boltzmann Method with Flexible Specific Heat Ratio (조정 가능한 비열비를 갖는 FDLBM에 의한 자려발생 음의 시뮬레이션)

  • Oh, S.K.;Ahn, S.W.;Kim, J.W.;Kang, H.K.
    • Journal of Power System Engineering
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    • v.11 no.1
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    • pp.82-91
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    • 2007
  • 기존의 2차원 FDLB 모델(D2Q21)에서 비열비 ${\gamma}$는 공간의 차원수(D)에 의존한다. 즉, 2차원 공간의 계산에서는 ${\gamma}=(D+2)/D=2.0$밖에 취할 수 없으며, 공기와 같은 실체기체를 전산모사 하기에는 여러 어려움이 있다. 이러한 이유 때문에 문헌[1]의 LBM에서 제안된 조정 가능한 비열비 모델을 2차원 FDLB모델에 적용하여 자려발생 에지톤(edgetone)의 수치계산이 수행되었다. wedge의 선단각도가 ${\alpha}=23^{\circ}$(Case I) 및 $20^{\circ}$(Case II)를 갖는 2가지 모델이 설정되었으며, 노즐출구에서 wedge선단까지의 거리 w/d는 $3d{\sim}12d$사이에서 주어졌다. edgetone은 노즐로부터 나온 분류와 edge의 상호작용으로 이난 음압(sound pressure)의 차에 의해서 소음이 발생하며, 이 음압은 다시 상류의 분류에 영향을 미쳐 분류의 변동을 가져온다. w/d가 ??9d이하인 경우, 피드백(feedback) 메커니즘에 기인한 주기적인 운동이 발생하지만, w/d가 큰 ??9d이상인 경우에는 분류의 불안정성 때문에 규칙적인 분류의 운동은 보이질 않으며, 이는 기존의 연구결과들과 잘 일치함을 보였다. 본 연구에서 적용된 모델을 이용하여 공기와 같은 2원자 기체의 비열비 ??${\gamma}=1.4$를 갖는 유체에 있어서 공력 소음의 수치예측이 가능하다는 것을 확인하였다.

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Finite-horizon Tracking Control for Repetitive Systems with Uncertain Initial Condition (불확실한 초기치를 갖는 반복시스템에 대한 유한구간 추종제어)

  • Choi, Yun-Jong;Yun, Sung-Wook;Lee, Chang-Hee;Cho, Jae-Young;Park, Poo-Gyeon
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.297-298
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    • 2007
  • Repetitive systems stand for a kind of systems that perform a simple task on a fixed pattern repetitively and are widely spread in industrial fields. Hence, those systems have been of much interests by many researchers, especially in the field of iterative learning control (ILC). In this paper, we propose a finite-horizon tracking control scheme for linear time-varying repetitive systems with uncertain initial conditions. The scheme is derived both analytically and numerically for state-feedback systems and only numerically for output-feedback systems. Then, it is extended to stable systems with input constraints. All numerical schemes are developed in the forms of linear matrix inequalities. A distinguished feature of the proposed scheme from the existing iterative learning control is that the scheme guarantees the tracking performance exactly even under uncertain initial conditions. The simulation results demonstrate the good performance of the proposed scheme.

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Active vibration control: considering effect of electric field on coefficients of PZT patches

  • Sharma, Sukesha;Vig, Renu;Kumar, Navin
    • Smart Structures and Systems
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    • v.16 no.6
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    • pp.1091-1105
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    • 2015
  • Piezoelectric coefficient and dielectric constant of PZT-5H vary with electric field. In this work, variations of these coefficients with electric field are included in finite element modelling of a cantilevered plate instrumented with piezoelectric patches. Finite element model is reduced using modal truncation and then converted into state-space. First three modal displacements and velocities are estimated using Kalman observer. Negative first modal velocity feedback is used to control the vibrations of the smart plate. Three cases are considered v.i.z case 1: in which variation of piezoelectric coefficient and dielectric constant with electric field is not considered in finite element model and not considered in Kalman observer, case 2: in which variation of piezoelectric coefficient and dielectric constant with electric field is considered in finite element model and not considered in Kalman observer and case 3: in which variation of piezoelectric coefficient and dielectric constant with electric field is considered in finite element model as well as in Kalman observer. Simulation results show that appreciable amount of change would appear if variation of piezoelectric coefficient and dielectric constant with r.m.s. value of electric field is considered.

Enhanced Index Assignment for Beamforming with Limited-rate Imperfect Feedback (피드백 에러가 있는 빔포밍 시스템에서 개선된 인덱스 배치기법)

  • Park, Noe-Yoon;Kim, Young-Ju
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.49 no.5
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    • pp.7-14
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    • 2012
  • The quantized beamforming systems always need the channel state information, which must be quantized into a finite set of vectors (named codebook), and feedback only sends the index representing the desired vector. Thereby it minimized the impact of feedback errors, caused by feedback overhead and delay. In this regard, index assignment (IA) methods, an exhaustive-search and group-based schemes, have been presented for minimizes the performance degradation without additional feedback bits. In this paper, we proposed enhanced group-based IA method, which used the optimal codebook design with chordal distance, having the adaptive properties in application of the existing IA methods. When the number of transmit antennas is 4 and LTE codebook is used, Monte-Carlo simulations verify that the proposed scheme has a power advantage of 0.5~1dB to obtain the same bit error rate than methods without IA, and it has 0.1~0.2 dB better performance compared with the existing IA methods over same environment.

Structural System Parameter Estimation using Strain Output Feedback (스트레인 출력 되먹임을 이용한 구조 시스템 계수 추정)

  • Ha, Jae-Hoon;Park, Youn-Sik;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.124-127
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    • 2005
  • As computer capability and test skill become more and more advanced, finite element method and modal test are being widely applied in engineering design. In order to correlate and reconcile the inevitable discrepancies between the analytical and experimental models, many techniques have been developed. Among these methods, multiple-system methods are known as the effective tools in that they can supply the rich modal data available which are experimentally obtained. These abundant modal data can help structural system parameters estimated well. Multiple-system methods can be classified into the structural modification methods and feedback controller methods. The structural modification methods need the physical attachment of structures and their concept may limit the application of them. To overcome this drawback, the feedback controller methods are addressed which enable us to get more modal data without the structural change. Mode decoupling controller(MDC), one of them, is to use acceleration out)ut feedback to perturb an open-loop system. The output feedback controller generally cannot guarantee the stability of a closed-loop system. However, MDC can solve this problem under the certain constraints. So far, MDC utilizes accelerations as the sensor signals. In this research, strain sensors are going to be picked up to apply to the MDC. Strain output is recently used for structural system identification due to the drastically improved and miniaturized strain sensor. In this paper, we show that the MDC using strain output has differences compared with acceleration output in estimating the structural system parameters. The associated simulation is performed to demonstrate the above mentioned characteristics.

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Active control of delaminated composite shells with piezoelectric sensor/actuator patches

  • Nanda, Namita;Nath, Y.
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.211-228
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    • 2012
  • Present study deals with the development of finite element based solution methodology to investigate active control of dynamic response of delaminated composite shells with piezoelectric sensors and actuators. The formulation is based on first order shear deformation theory and an eight-noded isoparametric element is used. A coupled piezoelectric-mechanical formulation is used in the development of the constitutive equations. For modeling the delamination, multipoint constraint algorithm is incorporated in the finite element code. A simple negative feedback control algorithm coupling the direct and converse piezoelectric effects is used to actively control the dynamic response of delaminated composite shells in a closed loop employing Newmark's time integration scheme. The validity of the numerical model is demonstrated by comparing the present results with those available in the literature. A number of parametric studies such as the locations of sensor/actuator patches, delamination size and its location, radius of curvature to width ratio, shell types and loading conditions are carried out to understand their effect on the transient response of piezoceramic delaminated composite shells.