• Title/Summary/Keyword: discrete time linear system

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Robust Kalman Filter Design in Indefinite inner product space (부정내적공간에서의 강인칼만필터 설계)

  • Lee, Tae-Hoon;Yoon, Tae-Sung;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.104-109
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    • 2002
  • A new robust Kalman filter is designed for the linear discrete-time system with norm-bounded parametric uncertainties. Sum quadratic constraint, which describes the uncertainties of the system, is converted into an indefinite quadratic form to be minimized in indefinite inner product space. This minimization problem is solved by the new robust Kalman filter. Since the new filter is obtained by simply modifying the conventional Kalman filter, robust filtering scheme can be more readily designed using the proposed method in comparison with the existing robust Kalman filters. A numerical example demonstrates the robustness and the improvement of the proposed filter compared with the existing filters.

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Efficient Dynamic Response Analysis Using Substructuring Reduction Method for Discrete Linear System with Proportional and Nonproportional Damping

  • Choi, Dong-Soo;Cho, Maeng-Hyo;Kim, Hyun-Gi
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.85-99
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    • 2008
  • The dynamic response analysis for large structures using finite element method requires a large amount of computational resources. This paper presents an efficient vibration analysis procedure by combining node-based substructuring reduction method with a response analysis scheme for structures with undamped, proportional or nonproportional damping. The iterative form of substructuring reduction scheme is derived to reduce the full eigenproblem and to calculate the dynamic responses. In calculating the time response, direct integration scheme is used because it can be applied directly to the reduced model. Especially for the non proportional damping matrix, the transformation matrices defined in the displacement space are used to reduce the system. The efficiency and the effectiveness of the present method are demonstrated through the numerical examples.

Multirate Sampled-Data Control System: Optimal Digital Redesign Approach (멀티레이트 샘플치 시스템: 최적 디지털 재설계 기법)

  • Kim, Do-Wan;Park, Jin-Bae;Jang, Kwon-Kyu;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.708-710
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    • 2004
  • This paper studies a multirate sampled-data control for LTI systems by using the digital redesign (DR) method. In this note, to well tackle the problem associated with both the state matching and the stabilization, our nobel strategy is to minimize the linear quadratic cost function. The main features of the proposed method are that i) the delta-operator-based descretization method is applied to improve the state-matching performance in the fast sampling limit and/or the large input multiplicity; ii) the proposed multirate control scheme can improve the state-matching performance in the long sampling limit; iii) some sufficient conditions that guarantee the stability of the closed-loop discrete-time system and provide a guarantee cost for the cost function can be formulated in the LMIs format; and iv) an optimal sampled-data controller in the sense of minimizing the upper bound of the cost function is also given by means of an LMI optimization procedure.

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Direct Digital Control of Single-Phase AC/DC PWM Converter System

  • Kim, Young-Chol;Jin, Lihua;Lee, Jin-Mok;Choi, Jae-Ho
    • Journal of Power Electronics
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    • v.10 no.5
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    • pp.518-527
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    • 2010
  • This paper presents a new technique for directly designing a linear digital controller for a single-phase pulse width modulation (PWM) converter systems, based on closed-loop identification. The design procedure consists of three steps. First, obtain a digital current controller for the inner loop system by using the error space approach, so that the power factor of the supply is close to one. The outer loop is composed of a voltage controller, a current control loop including a current controller, a PWM converter, and a capacitor. Then, all the components, except the voltage controller, are identified by a discrete-time equivalent linear model, using the closed-loop output error (CLOE) method. Based on this equivalent model, a proper digital voltage controller is then directly designed. It is shown through PSim simulations and experimental results that the proposed method is useful for the practical design of PWM converter controllers.

Analysis for Performance Enhancement of TMA using Apodized Time Sequence (Apodized 시계열을 사용한 TMA의 성능 향상에 대한 분석)

  • Ho, Kwang-Chun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.4
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    • pp.105-109
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    • 2018
  • In this paper, the performance enhancement of a time-modulated array is described. The proposed time-modulated array is based on the topology of a conventional array but uses apodized discrete time switching, instead of phase shifters, to achieve beamforming functions with side-band suppression. Numerical simulations are carried out to examine the performance of this beamforming system based on apodized time sequence of 16 elements linear array. Numerical results reveal that the proposed method provides a more flexible and accurate way of producing desired beampatterns with low or ultralow side-lobe level (SLL) compared with the conventional methods.

Design of Multi-Regional Water Supply System Based on the Optimization Technique (최적화 기법을 이용한 광역상수도 관로시스템 설계)

  • Kim, Ju Hwan;Kim, Zong Woo;Park, Jae Hong
    • Journal of Korean Society of Water and Wastewater
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    • v.13 no.1
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    • pp.95-112
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    • 1999
  • In this research, it is proposed that optimization method is introduced and applied to the design of pipeline system in multi-regional water supply project, which has been constructed to settle the regional unbalance problems of available water resources. For the purpose, interface programs are developed to integrate linear programming model and KYPIPE model which is used for optimization and hydraulic analysis, respectively. The developed program is applied to the pipeline system design of multi-regional water supply project. The optimal diameters from the application of linear programming technique are compared with those from conventional method that is time-consuming and tedious trail and error process. Since the conventional design largely depends upon the experience of designers and the results of general hydraulic analysis, it can not be reasonable and consistent. The application of linear programming technique can make it possible to design pipeline system optimally by using same design factors of general hydraulic models. The model can select commercial discrete pipe diameter as optimal size by using pipe length as decision variables. The developed model is applied to Pohang multi-regional water supply system design with two different objective functions, which are initial construction cost and annual cost including electric cost. As results, it is calculated that the initial construction cost of 1,449,740 thousand won is saved and annual cost of 128,951 thousand won is saved for a year within study year. Also, the optimal site of pump station is selected on 5th pipe, which is located between the diverging junction to Kangdong(2) province and the diverging junction to Cheonbuk province. It is explained that pump cost is less than pipe cost in this application case study due to little pump station scale. In the case of water supply with large pump capacity, it is reasonal that the increase of pipe size is more efficient instead the increase of pump station capacity to save annual cost.

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Indirect Decentralized Learning Control for the Multiple Systems (복합시스템을 위한 간접분산학습제어)

  • Lee, Soo-Cheol
    • Proceedings of the Korea Association of Information Systems Conference
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    • 1996.11a
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    • pp.217-227
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    • 1996
  • The new field of learning control develops controllers that learn to improve their performance at executing a given task, based on experience performin this specific task. In a previous work[6], the authors presented a theory of indirect learning control based on use of indirect adaptive control concepts employing simultaneous identification ad control. This paper develops improved indirect learning control algorithms, and studies the use of such controllers in decentralized systems. The original motivation of the learning control field was learning in robots doing repetitive tasks such as on an assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the nominal trajectory, and using the usual robot controllers that are decentralized, treating each link as if it is independent of any coupling with other links. The basic result of the paper is to show that stability of the indirect learning controllers for all subsystems when the coupling between subsystems is turned off, assures convergence to zero tracking error of the decentralized indirect learning control of the coupled system, provided that the sample time in the digital learning controller is sufficiently short.

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Traffic Regulation Algorithm for Metro Lines with Time Delay (시간지연에 따른 열차의 운행간격 제어알고리즘)

  • Min-Kee, Park
    • Journal of IKEEE
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    • v.26 no.4
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    • pp.590-595
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    • 2022
  • When a train is delayed because of a disturbance, the time interval deviation between successive trains increases, and high frequency metro lines can become unstable. Thus, it is necessary to control the traffic regularity to prevent any such instability. In this paper, we propose a simple but effective traffic regulation algorithm that gurantees system stability. In the proposed method, the control algorithm for running time is designed using a discrete traffic model where control input is determined from a linear combination of departure time deviations and control input of the preceding train to ensure an optimal time interval between successive trains. The results of the computer simulation are also given to demonstrate the validity of the proposed algorithm.

Indirect Adaptive Decentralized Learning Control based Error Wave Propagation of the Vertical Multiple Dynamic Systems (수직다물체시스템의 오차파형전달방식 간접적응형 분산학습제어)

  • Lee Soo-Cheol
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2006.05a
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    • pp.211-217
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    • 2006
  • The learning control develops controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work, the authors presented an iterative precision of linear decentralized learning control based on p-integrated learning method for the vertical dynamic multiple systems. This paper develops an indirect decentralized learning control based on adaptive control method. The original motivation of the teaming control field was teaming in robots doing repetitive tasks such as on an assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the nominal trajectory, and using the usual robot controllers that are decentralized, treating each link as if it is independent of any coupling with other links. Error wave propagation method will show up in the numerical simulation for five-bar linkage as a vertical dynamic robot. The methods of learning system are shown up for the iterative precision of each link at each time step in repetition domain. Those can be helped to apply to the vertical multiple dynamic systems for precision quality assurance in the industrial robots and medical equipments.

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Quality Assurance of Repeatability for the Vertical Multiple Dynamic Systems in Indirect Adaptive Decentralized Learning Control based Error wave Propagation (오차파형전달방식 간접적응형 분산학습제어 알고리즘을 적용한 수직다물체시스템의 반복정밀도 보증)

  • Lee Soo-Cheol
    • Journal of Korea Society of Industrial Information Systems
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    • v.11 no.2
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    • pp.40-47
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    • 2006
  • The learning control develops controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work the authors presented an iterative precision of linear decentralized learning control based on p-integrated teaming method for the vertical dynamic multiple systems. This paper develops an indirect decentralized learning control based on adaptive control method. The original motivation of the loaming control field was learning in robots doing repetitive tasks such as on a]1 assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the nominal trajectory, and using the usual robot controllers that are decentralized, treating each link as if it is independent of any coupling with other links. Error wave propagation method will show up in the numerical simulation for five-bar linkage as a vertical dynamic robot. The methods of learning system are shown up for the iterative precision of each link at each time step in repetition domain. Those can be helped to apply to the vertical multiple dynamic systems for precision quality assurance in the industrial robots and medical equipments.

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