• Title/Summary/Keyword: state constraint

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Data-based Control for Linear Time-invariant Discrete-time Systems

  • Park, U. S.;Ikeda, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1993-1998
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    • 2004
  • This paper proposes a new framework for control system design, called the data-based control approach or data space approach, in which the input and output data of a dynamical system is directly and solely used to analyze or design a control system without the employment of any mathematical models like transfer functions, state space equations, and kernel representations. Since, in this approach, most of the analysis and design processes are carried out in the domain of the data space, we introduce some notions of geometrical objects, e.g., the openloop and closed-loop data spaces, which serve as the system representations in the data space. In addition, we establish a relationship between the open-loop and closed-loop data spaces that the closed-loop data space is contained in the open-loop data space as one of its subspaces. By using this relationship, we can derive the data-based stabilization condition for a linear time-invariant discrete-time system, which leads to a linear matrix inequality with a rank constraint.

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Design Sensitivity Analysis and Topology Optimization of Heat Conduction Problems (열전도 문제에 대한 설계 민감도 해석과 위상 최적 설계)

  • 김민근;조선호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.127-134
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    • 2004
  • In this paper, using an adjoint variable method, we develop a design sensitivity analysis (DSA) method applicable to heat conduction problems in steady state. Also, a topology design optimization method is developed using the developed DSA method. Design sensitivity expressions with respect to the thermal conductivity are derived. Since the already factorized system matrix is utilized to obtain the adjoint solution, the cost for the sensitivity computation is trivial. For the topology design optimization, the design variables are parameterized into normalized bulk material densities. The objective function and constraint are the thermal compliance of structures and allowable material volume, respectively. Through several numerical examples, the developed DSA method is verified to yield very accurate sensitivity results compared with finite difference ones, requiring less than 0.3% of CPU time far the finite differencing. Also, the topology optimization yields physical meaningful results.

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Topology Design Optimization of Three Dimensional Structures for Heat Conduction Problems (열전도 문제에 대한 3 차원 구조물의 위상 최적설계)

  • Moon Se-Joon;Cho Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.327-334
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    • 2005
  • In this paper, using an adjoint variable method, we develop a design sensitivity analysis (DSA) method applicable to 3-Dimensional heat conduction problems in steady state. Also, a topology design optimization method is developed using the developed DSA method. Design sensitivity expressions with respect to the thermal conductivity are derived. Since the already factorized system matrix is utilized to obtain the adjoint solution, the cost for the sensitivity computation is trivial. For the topology design optimization, the design variables are parameterized into normalized bulk material densities. The objective function and constraint are the thermal compliance of structures and allowable material volume, respectively, Through several numerical examples, the developed DSA method is verified to yield efficiency and accurate sensitivity results compared with finite difference ones. Also, the topology optimization yields physical meaningful results.

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Level Set based Shape Optimization using Extended B-spline Bases (확장 B-spline 기저 함수를 이용한 레벨셋 기반의 형상 최적 설계)

  • Kim, Min-Geun;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.391-396
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    • 2008
  • A level set based topological shape optimization using extended B-spline basis functions is developed for steady state heat conduction problems. The only inside of complicated domain is identified by the level set functions and taken into account in computation. The solution of Hamilton-Jacobi equation leads to an optimal shape according to the normal velocity field determined from the sensitivity analysis, minimizing a thermal compliance while satisfying a volume constraint. To obtain exact shape sensitivity, the precise normal and curvature of geometry need to be determined using the level set and B-spline basis functions. The nucleation of holes is possible whenever and wherever necessary during the optimization using a topological derivative concept.

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Implementation of Chanel Encoder and Viterbi Decoder for the IEEE 802.1la Wireless LAN (IEEE 802.11a Wireless LAN용 채널부호화기 및 비터비 디코더의 구현)

  • Byun Nam-Hyun;Cheong Cha-Keon
    • Proceedings of the IEEK Conference
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    • 2004.06b
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    • pp.431-434
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    • 2004
  • In this paper we present about implementation of channel coder and Viterbi decoder for Mobile communication & IEEE 802.11a Wireless LAN. In the IEEE 802.11a Wireless LAN decoding provided that Viterbi algorithm and convolutional encoder by constraint k=7, ($133_8,\;171_8$) for channel error correction. This Paper presents a novel survivor memory management and decoding techniques with sequential backward state transition control in the trace-back Viterbi decoder, In order to verification we provide to the examples of circuit design and decoding results.

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Combined Design of Robust Control System and Structure System (강인성 제어 시스템과 구조 시스템의 통합 최적 설계)

  • Park, J.H.
    • Journal of Power System Engineering
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    • v.7 no.4
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    • pp.38-43
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    • 2003
  • This paper proposes an optimum design problem of structural and control systems. taking a 3-D truss structure as an example. The structure is supposed to be subjected to initial static loads and time-varying disturbances. The structure is controlled by a state feedback $H_{\infty}$ controller to suppress the effect of the disturbances. The design variables are the cross sectional areas of truss members. The structural objective function is the structural weight. As the control objective, we consider two types of performance indices. The first function represents the effect of the initial loads. The second one is the norm of the feedback gain. These objective functions are in conflict with each other. Then, first, two control objective functions are transformed into one control objective by the weighting method. Next, the structural objective is treated as the constraint. By introducing the second control objective which considers the magnitude of the feedback gain, we can per limn the design which is robust in modeling errors.

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A Study on Quantitiative visualization of Vibration Mode Shape of Disk Brake by Using Stroboscopic ESPI (스트로보스코픽 전자 스페클 패턴 간섭법을 이용한 디스크 브레이크의 진동 모드의 정량적 가시화에 관한 연구)

  • 강영준
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.9
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    • pp.97-104
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    • 1999
  • Brake squeal noise has been a problem since the early days of motoring . It is important to obtain vibration mode shape for reduction of brake noise . Stroboscopic Electronic Speckle Pattern Interferometry is a very powerful measuring method for study of vibrating objects in static state compared with conventional methods because this method can give both resonance frequency and quantitative visualization of vibration mode shape at the same time. In this paper, we performed qualitative visualization and quantitative analysis of vibration mode shpae of disk brake by using stroboscopic ESPI and phase shifting method. The stroboscopic wavefronts are obtained by chopping continuous wave laser beam using acousto-optic modulator .Experiments were performed at the same constraint conditions as disk brake of the practical vehicle as far as possible. The experimental results of this paper show quantitative measurement of vibration mode shape and quantiative visualization of vibration amplitude of disk brake with 3D plotting.

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A New Probabilistic Generation Simulation Considering Hydro, Pumped-Storage Plants and Multi-Model (수력,양수 및 다중모델을 고려한 새로운 확률론적 발전시뮬레이션)

  • 송길영;최재석
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.6
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    • pp.551-561
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    • 1991
  • The probabilistic generation simulation plays a key role in power system expansion and operational planning especially for the calculation of expected energy, loss of load probaility and unserved energy expected. However, it is crucial to develop a probabilistic generation simulation algorithm which gives sufficiently precise results within a reasonable computation time. In a previous paper, we have proposed an efficent method using Fast Hartley Transform in convolution process for considering the thermal and nuclear units. In this paper, a method considering the scheduling of pumped-storage plants and hydro plants with energy constraint is proposed. The method also adopts FHT techniques. We improve the model to include multi-state and multi-block generation. The method has been applied for a real size model system.

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[ $H_{\infty}$ ] Control of Time-Delayed Linear Systems with Limited Actuator Capacities (제한된 구동기 용량을 갖는 시간지연 선형시스템의 $H_{\infty}$ 제어)

  • Yi, Yearn-Gui;Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1648-1654
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    • 2007
  • In this paper, we consider the design of $H_\infty$ high-gain state feedback control for time-delayed linear systems with limited actuator capacities. The high-gain control means that the control permits the predetermined degree of saturation. Based on new Lyapunov-Krasovskii functional, we derive a result in the form of matrix inequalities. The matrix inequalities are consisted of LMIs those confirm the positive definiteness of Lyapunov- Krasovskii functional, satisfaction of predetermined degree of saturation, reachable set and $L_2$ gain constraint. The result is dependent on the bound of time-delay and its rate, predetermined degree of saturation, actuator capacity, and the allowed size of disturbances. Finally, we give a numerical example to show the effectiveness and usefulness of our result.

Effects of Deep Mixed Method Construction Within the Soft ground (연약지반의 심층혼합처리공법의 시공효과)

  • ;;Li Guang Fan
    • Journal of the Korea Institute of Building Construction
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    • v.1 no.1
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    • pp.160-168
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    • 2001
  • This study aims at the development of computer program for the deformation analysis of soft ground, and using this computer program, study the constraint effect of deformation heaving, lateral displacement of the soft ground reinforced with improvement of soft ground up to hard strata, under intact state(natural). The following results are obtained. 1. Improvement of soft ground to the hard strata works well against the settlement of neighboring ground. 2. the larger the rigidity or width of improvement of layer to hard strata is, the less settlement occurs. 3. Improvement of soft ground to the hard strata is of no use.

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