• Title/Summary/Keyword: Optimal regulator

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THE RECURSIVE ALGOFITHM FOR OPTIMAL REGULATOR OF NONSTANCARD SINGULARLY PERTURVED SYSTEMS

  • Mukaidani, Hiroaki;Xu, Hau;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.10-13
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    • 1995
  • This paper considers the linear-quadratic optimal regulator problem for nonstandard singularly perturbed systems making use of the recursive technique. We first derive a generalized Riccati differential equation by the Hamilton-Jacobi equation. In order to obtain the feedback gain, we must solve the generalized algebraic Riccati equation. Using the recursive technique, we show that the solution of the generalized algebraic Riccati equation converges with the rate of convergence of O(.epsilon.). The existence of a bounded solution of error term can be proved by the implicit function theorem. It is enough to show that the corresponding Jacobian matrix is nonsingular at .epsilon. = 0. As a result, the solution of optimal regulator problem for nonstandard singularly perturbed systems can be obtained with an accuracy of O(.epsilon.$^{k}$ ). The proposed technique represents a significant improvement since the existing method for the standard singularly perturbed systems can not be applied to the nonstandard singularly perturbed systems.

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A method of nonlinear optimal regulator using a Liapunov-like function

  • Kawabata, Hiroaki;Shirao, Yoshiaki;Nagahara, Toshikuni;Inagaki, Yoshio
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1060-1065
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    • 1990
  • In general it is difficult to determine a Liapunov function for a given asymptotically stable, nonlinear differential equations system. But, in the system with control inputs, it is feasible to make a given positive function, except for a small area, globally satisfy the conditions of the Liapunov function for the system. We call such a positive function a Liapunov-like function, and propose a method of nonlinear optimal regulator using this Liapunov-like function. We also use the periodic Liapuitov-like friction that suits the system whose equilibrium points exist periodically. The relationship between the Liapunov function and cost function which this nonlinear regulator minimizes is considered using inverse optimal method.

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Optimal Operation System of Step Voltage Regulator in Primary Feeders with Distributed Generations (분산전원이 연계된 고압배전선로에 있어서 선로전압 조정장치의 최적운용 평가시스템 개발)

  • Son, Joon-Ho;Heo, Sang-Won;Rho, Dae-Seok;Kim, Eui-Hwan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.6
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    • pp.2698-2706
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    • 2011
  • This paper deals with the optimal operation algorithm of SVR(Step Voltage Regulator) which is located with primary feeders and proposes the optimal operation system to evaluate customer voltage. The existing algorithm of SVR adapts the constant sending voltage method, which may cause the power quality problems such as overvoltage and under voltage variations in case where the distributed generations are interconnected with the primary feeders. Therefore, this paper proposes the optimal algorithm of LDC method for SVR using least square method to obtain the optimal setting values. Also, this paper presents the optimal evaluation system based on the former algorithm. The simulation results according to the types and capacities of distributed generations shows the effectiveness.

A Study on Adaptive Operation Control to Stabilize bus Voltage of GEO Satellite Power Supply Module (정지궤도 위성용 전력공급 모듈의 버스 전압 안정화를 위한 최적동작 제어에 관한 연구)

  • Ahn, Tae-Young;Choe, Hyun-Su
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.2
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    • pp.123-129
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    • 2016
  • In this paper, results of produced PCU(Power Control Unit) prototype was showed by suggesting and maintaining optimal operation status which let the three functional modules automatically operate with its necessity by prioritizing operation process. In order to validate effectiveness of the suggested method, we produced a test PCU and examined the results. PCU consists of S3R(Sequential Switching Shunt Regulator), BCR(Battery Charge Regulator), and BDR(Battery Discharge Regulator): converting photovoltaic power into constant voltage at linked bus voltage; storing dump power in the battery which is an auxiliary energy storage device; and supplying power charged in battery to the load. To maintain its high reliability and optimal condition of these three power conversion modules, each module operates in parallel and stable bus voltage is required to be retained at all-time due to the nature of power supply for satellite.

A study on the design of the optimal nonlinear controller for single state feedback (단일상태 feedback을 가지는 계의 최적 비선형제어기 설계에 관한 연구)

  • 노용균;조겸래
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.206-209
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    • 1988
  • For feedback control of a linear dynamic system the optimum linear slace regulator (OLSR) can be implemented only if all state are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can be improved performance over that obtained by a proportional controller. This paper found the optimal control law by well-known dynamic programming and principles of optimality. Thus, performance of both proportional and nonlinear controllers is compared with performance of optimum linear state regulator.

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Design of the multi-input deadbeat state regulator with the minimal input energy

  • Kiyota, Takanori;Kondo, Eiji;Sunaga, Teruo
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.890-895
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    • 1989
  • This paper discusses the regulator problem of minimizing the input energy for the multi-input linear time-invariant discrete-time system with the zero terminal state. The optimal inputs are expressed by the state feedback form and they are made up of three phases. The optimal feedback gains are independent of the initial state.

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Fundamental Study for Automation of Container Cranes (콘테이너 크레인의 자동화에 관한 기초연구)

  • 신민생;이동철;김상봉
    • Journal of Advanced Marine Engineering and Technology
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    • v.18 no.2
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    • pp.83-90
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    • 1994
  • The container crane is still operated by skillfull human operators. So an automatic crane operation system is strongly required. In this paper, the digital control method is applied to position an anti-swing control for container crane. Two methods of digital optimal regulator control and digital redesign control are used for experiment. From these experimental results, it is respected that both methods can be applied effectively to an actual container crane operation.

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Design and Control of the Half-Bridge Type Switching Regulator (반브리지형 스위칭 전원의 설계 및 제어)

  • 고영길;이광원
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.2
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    • pp.76-82
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    • 1984
  • This paper presents the design and the optimal control method of current-fed half-brige switching regulator. To achieve fast response load current variation is fed to control input, and simple optimal control model has been derived with provision of current control loop in the control circuit. Test results show that the control system model is correct and 5ms response time has been obtained at 25 KHz switching frequency.

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A study on the control of speed-sensor less DC servo motor us ing LQG Reguator (LQG Regulator를 이용한 속도센서없는 직류서보전동기의 속도제어에 관한 연구)

  • Kim, Sang-Hoon;Ko, Bong-Woon;Nam, Moon-Hyun;Kim, Lark-Kyo
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2167-2169
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    • 2003
  • The LQG regulator presented in this dissertation is designed to improve system stability with the structure in which Kalman Filters and LQ regulator are inter-connected to avoid disturbances on the system. For the sake of performance evaluation of the LQG regulator in this dissertation, the regulator is put in use for the speed control of DC Servo Motors without speed sensors on them to realize speed control without sensors by estimating uncertain speed with its state signals and to construct an optimal controller using the LQG regulator. Furthermore, state estimation process with white noise entered onto the systems is been experimented through a series of simulation. As a consequence, the process of estimating speed signals out of the signals with white noise inputs is confirmed using Kalman Filter.

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