• Title/Summary/Keyword: dual control problem

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MIXED TYPE DUALITY FOR CONTROL PROBLEMS WITH GENERALIZED INVEXITY

  • Husain, I.;Ahmed, A.;Ahmad, B.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.819-837
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    • 2008
  • A mixed type dual to the control problem in order to unify Wolfe and Mond-Weir type dual control problem is presented in various duality results are validated and the generalized invexity assumptions. It is pointed out that our results can be extended to the control problems with free boundary conditions. The duality results for nonlinear programming problems already existing in the literature are deduced as special cases of our results.

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DUALITY IN THE OPTIMAL CONTROL PROBLEMS FOR HYPERBOLIC SYSTEMS

  • Kim, Hyun-Min;Park, Jong-Yeoul;Park, Sun-Hye
    • East Asian mathematical journal
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    • v.17 no.2
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    • pp.375-383
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    • 2001
  • In this paper we deal with the duality theory of optimality for an optimal control problem governed by a class of second order evolution equations. First we establish the dual control systems by using conjugate functions and then associate them to the original optimization problem.

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High-Reliability Three-Phase Dual-Buck Grid-Connected Inverter without Shoot-Through Problem

  • Fu, Zhenbin;Feng, Zhihua;Chen, Xi;Zheng, Xinxin
    • Journal of Power Electronics
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    • v.19 no.2
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    • pp.454-462
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    • 2019
  • When compared to traditional bridge-type inverters, the dual-buck inverter has a higher reliability due to the fact that its bridge legs do not have a shoot-through problem. In this paper, the working principle of the dual-buck inverter is analyzed. A comparison of the working modes under full-cycle and half-cycle control is discussed. With half-cycle control, the inverter can realize a higher efficiency. However, this results in current zero-crossing distortion. The corresponding control strategy of the dual-buck inverter is proposed in order to realize both high efficiency and low current harmonic distortion. In addition, the system stability is analyzed. Dead-time is unnecessary due to the advantages of the topology. Thus, the current harmonic distortion can be further reduced. An inverter with the proposed control strategy has the advantages of high reliability, high efficiency and low current harmonic distortion. Finally, simulation and experimental results are given to verify the theoretical analysis.

Design of an Active Adaptive Dual Controller for Non-Minimum Phase Systems (비최소 위상시스템에 대한 능동적응 이중 제어기의 설계)

  • 김도성;안태천;이명호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.9
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    • pp.380-387
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    • 1986
  • We have developed a dual control algorithm by means of innovations approach and established the stability of dual by introducing the pole-placement method suggested by Berger on the non-dual control. The dual controller realizing this algorithm decreases control loss sharply when compared with that of a non-dual controller, and shows the characteristics of suppressing the output deviation in transient state effectively. The total control energy and the accumulated square misdistance of this dual controller are shown to be 1-10% and 0.1-10% of those of CE control, respectively. Consequently this controller solves the non-minimum phase problem encountered when discretizing the system equation, and can be used to overcome the uncertainty of system effectively by adjusting the learning rate of the controller.

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A Dual-Stage Servo System for an NFR Disk Drive using Iterative Learning Control (반복 학습 제어를 이용한 NFR 디스크 드라이브의 2단 서보 시스템)

  • 문정호;도태용
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.4
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    • pp.277-283
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    • 2003
  • Recently, near-field recording (NFR) disk drive schemes have been proposed with a view to increasing recording densities of hard disk drives. Compared with hard disk drives. NFR disk drives have narrower track pitches and are exposed to more severe periodic disturbances resulting from eccentric rotation of the disk. It is difficult to meet servo system design specifications for NFR disk drives with conventional VCM actuators in that the servo system for an NFR disk drive generally requires a feater gain and higher bandwidth. To tackle the problem various dual-stage actuator systems composed of a microactuator mounted on top of a conventional VCM actuator have been proposed. This article deals with the problem of designing a tracking servo system far an NFR disk drive adopting a dual-stage actuator. We summarize design constraints pertaining to the dual-stage servo system and present a new servo scheme using iterative teaming control. We design feedback compensators and an iterative teaming controller for a target plant and verify the validity of the proposed control scheme through a computer simulation.

A New Approach to Solve the Rate Control Problem in Wired-cum-Wireless Networks

  • Loi Le Cong;Hwang Won-Joo
    • Journal of Korea Multimedia Society
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    • v.9 no.12
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    • pp.1636-1648
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    • 2006
  • In this paper, we propose a new optimization approach to the rate control problem in a wired-cum-wireless network. A primal-dual interior-point(PDIP) algorithm is used to find the solution of the rate optimization problem. We show a comparison between the dual-based(DB) algorithm and PDIP algorithm for solving the rate control problem in the wired-cum-wireless network. The PDIP algorithm performs much better than the DB algorithm. The PDIP can be considered as an attractive method to solve the rate control problem in network. We also present a numerical example and simulation to illustrate our conclusions.

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A dual approach to input/output variance constrained control problem

  • Kim, Jac-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.28-33
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    • 1994
  • An optimal controller, e.g. LQG controller, may not be realistic in the sense that the required control power may not be achieved by existing actuators, and the measured output is not satisfactory. To be realistic, the controller should meet such constraints as sensor or actuator limitation, performance limit, etc. In this paper, the lnput/Output Variance Constrained (IOVC) control problem will be considered from the viewpoint of mathematical programming. A dual version shall be developed to solve the IOVC control problem, whose objective is to find a stabilizing control law attaining a minimum value of a quadratic cost function subject to the inequality constraint on each input and output variance for a stabilizable and detectable plant. One approach to the constrained optimization problem is to use the Kuhn-Tucker necessary conditions for the optimality and to seek an optimal point by an iterative algorithm. However, since the algorithm uses only the necessary conditions, the convergent point may not be optimal solution. Our algorithm will guarantee a sufficiency.

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Tone Dual-Channel Directional MAC Protocol for Mobile Ad-Hoc Networks

  • Jwa, Jeong-Woo
    • International Journal of Contents
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    • v.7 no.2
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    • pp.6-10
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    • 2011
  • The directional MAC (DMAC) protocol improves the spatial reuse, but directional packets on the control channel cause the deafness problem. In this paper, we propose a tone dual-channel DMAC protocol for mobile ad-hoc networks. In the proposed MAC protocol, the use of omnidirectional transmissions using an omnidirectional out-of-band tone solves the deafness problem and decrease packet collisions on the control channel. The use of an omnidirectional out-of-band tone also mitigates the hidden terminal problem. We use the negative CTS (NCTS) mechanism to solve the exposed terminal problem. The throughput performance of the proposed MAC protocol is confirmed by simulations using the Qualnet simulator.

A Study on Three Parallel Operation Control Algorithm of Thyristor Dual Converter System for Urban Railway Substation (도시 철도용 사이리스터 듀얼 컨버터 시스템의 3병렬 운전 제어 기법에 관한 연구)

  • Kim, Sung-An;Han, Sung-Woo;Cho, Yun-Hyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.2
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    • pp.459-467
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    • 2017
  • An urban railway power substation consists of three thyristor dual converters. Two converters are connected to up and down trolley line to supply the electric energy or feed the regenerative energy back to the distribution. When the two converters break down, the remaining converter is used in an emergency. One thyristor dual converter system (TDCS) manages the energy of two or three railway stations. If the TDCS fails, the trains stop operating. To solve the problem, this paper proposes the three parallel operation control algorithm of thyristor dual converter system using the emergency converter. The broken TDCS can be replaced by the emergency converter in other TDCS. The effectiveness of this proposed control is verified by simulation.

Resonance Suppression using Sensorless Control of Dual SPMSMs Fed by Single Inverter

  • Eom, Jae-Boo;Choi, Jong-Woo
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2376-2384
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    • 2018
  • To reduce the size and cost of motor driving systems, several methods for driving multiple parallel-connected motors with a single inverter have been proposed. However, dual PMSMs driven by a single inverter, unlike induction motors, have a problem with instability due to system resonance caused by disturbances such as load imbalance and tolerances between two motors. To drive dual SPMSMs fed by a single inverter, this paper proposes an active damping algorithm to effectively suppress resonance by using one-sided sensorless speed control and position difference estimation. By deriving rotor position difference from d-q current differences between two motors, the proposed method is affected less by position difference estimation errors and is simpler than dual sensorless position estimation.