• Title/Summary/Keyword: optimal control theory

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Production switching mechanism for an unreliable two-stage production line (고장이 있는 두단계 생산라인의 생산률 변환정책)

  • Koh, Shie-Gheun;Hwang, Hark
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.1
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    • pp.105-113
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    • 1998
  • This paper deals with a production line which consists of two production stages that are separated by a finite storage buffer. The inventory level in the storage buffer controls the production rate of the preceding stage. That is, the production rate becomes high (low) when the buffer inventory is low (high). We analyze the system characteristics utilizing the Markov process theory and then find an optimal control policy which maximizes a given system profit function. Also, a sensitivity analysis is made to examine the effects of various system parameters on the system performances.

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Hydrodynamics Analysis of Fish Locomotion Using a Biomimetic Fish Robot (생체모사 물고기 로봇을 이용한 물고기 운동의 유체역학적 해석)

  • Han, Cheol-Heui;Lee, Seung-Hee;Shin, Chang-Rok;Park, Jong-Hyeon
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.435-440
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    • 2007
  • Fish-mimetic robots or fish-mimetic propulsors have been developed or under construction. A mechanical system cannot have the same functions as bio-organic systems. Thus, the hydrodynamic characteristics of fish locomotion should be well understood in order to develop and control a feasible intelligent fish-mimetic robot with its optimal motion pattern known. In this paper, a mackerel-mimetic robot fish is fabricated in order to understand the hydrodynamic characteristics of fish locomotion. A simplified unsteady flow theory is also applied to the hydrodynamic analysis of the motion of the anterior part of the robotic fish. The normal and axial forces of the fish are measured by changing the amplitude and frequencies of fanning motion. It is found that the present theoretical results agree with the measured data.

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A Study on the Actively Controlled Aerostatic Journal Bearing using Cylindrical Capacitance Displacement Sensor (원통형 변위센서를 장착한 능동 공기 베어링에 관한 연구)

  • Park, Sang-Shin;Kim, Gyu-Ha
    • Tribology and Lubricants
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    • v.24 no.1
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    • pp.34-43
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    • 2008
  • In this paper, an actively controlled aerostatic bearing is studied to overcome the defects of air bearing such as low stiffness and damping coefficients. The actively controlled aerostatic bearing is composed of aerostatic bearings, non-contact type of displacement sensors, piezoelectric actuators and controllers. The cylindrical capacitance sensor (CCS) is used as the displacement sensor. The reason for using CCS instead of the commercial gap sensor is that it can give us the pure error motion of the spindle because it removes the roundness error or the geometric errors in the spindle. The controller is designed by the state space equation and quadratic optimal control theory. The characteristic data of the actively controlled aerostatic bearing system in the frequency domain are presented and the stiffness and damping coefficients of the bearing are mentioned. This paper shows the possibility to reduce the motion error up to 6000 rpm.

The Application of Discrete Time Optimal Control Theory to Natural Resource Problems (이산시간 적정제어이론의 응용사례에 관한 연구)

  • Kim, Jin Hyung;Lee, Dug Man
    • Environmental and Resource Economics Review
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    • v.12 no.1
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    • pp.157-175
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    • 2003
  • 본 연구는 이산시간 적정제어이론을 사용하여 동태적 경제 문제의 최적해를 구하기 위해 사용되는 두 가지 형태의 극대원리를 분석하고 있다. 이산시간 적정제어이론에 관한 선행연구들은 상태방정식이 차분방정식의 형태를 띠는 경우에 적용할 수 있는 극대원리를 제안하고 있다. 그러나 본 연구는 상태방정식이 차분방정식이 아닌 일반방정식의 형태를 띠는 경우에 적용할 수 있는 극대원리를 개발하였다. 그리고 본 연구를 통해 개발된 극대원리와 선행연구들이 제안한 극대원리와의 차이는 공동상태 변수의 운동법칙에 있음을 보여주고 있다. 특히 본 연구는 Bellman의 최적원리를 이용하여 본 연구에서 개발된 극대원리는 선행연구들이 제안한 극대원리를 포함하는 일반적인 극대원리임을 설명하고 있다. 마지막으로 본 연구는 목재공급모형인 TSM2000에 포함된 경제변수의 동태적 최적화를 구하는 과정을 통해 본 연구에서 개발된 극대원리가 경제 문제에 적용되는 사례를 보여 주고 있다.

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Design of LQR controller for active suspension system of Partially Filled Tank Cars

  • Feizi, Mohammad Mahdi;Rezvani, Mohammad Ali
    • Structural Engineering and Mechanics
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    • v.49 no.3
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    • pp.329-353
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    • 2014
  • Increasing usage of tank cars and their intrinsic instability due to sloshing of contents have caused growing maintenance costs as well as more frequent hazards and defects like derailment and fatigue of bogies and axels. Therefore, varieties of passive solutions have been represented to improve dynamical parameters. In this task, assuming 22 degrees of freedom, dynamic analysis of partially filled tank car traveling on a curved track is investigated. In order to consider stochastic geometry of track; irregularities have been derived randomly by Mont Carlo method. More over the fluid tank model with 1 degree of freedom is also presented by equivalent mechanical approach in terms of pendulum. An active suspension system for described car is designed by using linear quadratic optimal control theory to decrease destructive effects of fluid sloshing. Eventually, the performance of the active suspension system has been compared with that of the passive one and a study is carried out on how active suspension may affect the dynamical parameters such as displacements and Nadal's derailment index.

Fuzzy programming for improving redundancy-reliability allocation problems in series-parallel systems

  • Liu, C.M.;Li, J.L.
    • International Journal of Reliability and Applications
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    • v.12 no.2
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    • pp.79-94
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    • 2011
  • Redundancy-reliability allocation problems in multi-stage series-parallel systems are addressed in this study. Fuzzy programming techniques are proposed for finding satisfactory solutions. First, a multi-objective programming model is formulated for simultaneously maximizing system reliability and minimizing system total cost. Due to the nature of uncertainty in the problem, the fuzzy set theory and technique are used to convert the deterministic multi-objective programming model into a fuzzy nonlinear programming problem. A heuristic method is developed to get satisfactory solutions for the fuzzy nonlinear programming problem. A Pareto optimal solution is found with maximal degree of satisfaction from the interception area of fuzzy sets. A case study that is related to the electronic control unit installed on aircraft engine over-speed protection system is used to implement the developed approach. Results suggest that the developed fuzzy multi-objective programming model can effectively resolve the fuzzy and uncertain problem when design goals and constraints are not clearly confirmed at the initial conceptual design phase.

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MULTI-DEGREE REDUCTION OF BÉZIER CURVES WITH CONSTRAINTS OF ENDPOINTS USING LAGRANGE MULTIPLIERS

  • Sunwoo, Hasik
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.2
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    • pp.267-281
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    • 2016
  • In this paper, we consider multi-degree reduction of $B{\acute{e}}zier$ curves with continuity of any (r, s) order with respect to $L_2$ norm. With help of matrix theory about generalized inverses we can use Lagrange multipliers to obtain the degree reduction matrix in a very simple form as well as the degree reduced control points. Also error analysis comparing with the least squares degree reduction without constraints is given. The advantage of our method is that the relationship between the optimal multi-degree reductions with and without constraints of continuity can be derived explicitly.

Development of a Side Scan Sonar System for Underwater Sun (천해용 Side Scan Sonar의 송수신 시스템 구현 및 운용에 관한 연구)

  • 오영석;이철원;강도욱;우종식
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.10a
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    • pp.222-227
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    • 2000
  • "Side scan sonar" using acoustic signal has been developed to survey cable laying, sunken bodie\ulcorner bottom and so on. It use the acoustic signals, which are emitted from two transducer arrays, to get gemetri\ulcorner target area. This system consists of transceiver board, towed body, and deck unit. The transceiver board, w\ulcorner watertight canister of the towed body, controls the transmitting and receiving of 400kHz acoustic signals from \ulcorner After receiving the scattered signals, it processes the filtering, AGF(Automatic Gain Control), TVG(Time Heterodyne. The deck unit is composed of the signal processing part, A/D converter, power supplier, and real\ulcorner And the towed body has been designed to satisfy the optimal hydrodynamic behavior during towing. The de\ulcorner theory of transceiving part and some results from field-experiments will be introduced here.

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A study on power system stabilization using Variable Structure Stabilizer (가변구조 안정화 장치를 사용한 전력계통 안정화에 관한 연구)

  • Chung, Jai-Kil;Kim, Jung-Ha;Kang, Dong-Gu
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.83-85
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    • 1995
  • A technique for power system' stabilization is presented using the variable structure control theory. The selection problem of the proper switching vector is very important subject for a design of the variable structure controller. In this paper, the switching vector is selected by desired eigenvalues allocation. and these desired eigenvalues are determined by eigenvalue assignment. Simulation results show that eigenvalue allocation variable structure stabilizer yields better dynamic performance than the others (conventional PSS, optimal linear stabilizer) and is robust to wide variations of the system parameters.

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Application of Fuzzy Transition Timed Petri Net for Discrete Event Dynamic Systems (퍼지 트랜지션 시간 페트리 네트의 이산 사건 시스템에 응용)

  • 모영승;김진권;김정철;탁상아;황형수
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.364-364
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    • 2000
  • Timed Petri Net(TPN) is one of methods to model and to analyze Discrete Event Dynamic Systems(DEDSs) with real time values. It has two time values, earliest firing time ($\alpha$$_{i}$) and latest firing time ($\beta$$_{I}$) for the each transition. A transition of TPN is fired at arbitrary time of time interval ($\alpha$$_{I}$, $\beta$$_{i}$). Uncertainty of firing time gives difficulty to analyze and estimate a modeled system. In this paper, we proposed the Fuzzy Transition Timed Petri Net(FTTPN) with fuzzy theory to determine the optimal transition time (${\gamma}$$_{i}$). The transition firing time (${\gamma}$$_{i}$) of FTTPN is determined from fuzzy controller which is modeled with information of state transition. Each of the traffic signal controllers are modeled using the proposed method and timed petri net. And its Performance is evaluated by simulation of traffic signal controller. controller.

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