• Title/Summary/Keyword: multi-variable system

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A Learning Method of PID Controller by Jacobian in Multi Variable System (다변수 시스템에서 자코비안을 이용한 PID 제어기 학습법)

  • 임윤규;정병묵
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.2
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    • pp.112-119
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    • 2003
  • Generally, PID controller is not suitable to control multi variable system because it is very difficult to tune the PID gains. However, this paper shows that it is not hard to tune the PID gains if we can find a Jacobian matrix of the system. The Jacobian matrix expresses the ratio of output variations according to input variations. It is possible to adjust the input values in order to reduce the output error using the Jacobian. When the colt function is composed of error related terms, the gradient approach can tune the PID gains to minimize the function. In simulation, a hydrofoil catamaran with two inputs and two outputs is applied as a multi variable system. We can easily get the multi variable PID controller by the proposed teaming method. When the controller is compared with LQR controller, the performance is as good as that of LQR controller with a modeling equation.

An application study of the optimal multi-variable structure control to the state space model of the robot system (로보트 시스템의 State space 모델에 대한 최적 다중-변화 구조제어의 응용연구)

  • 이주장
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.321-325
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    • 1986
  • A new control scheme for the state space model of the robot system using the theory of optimal multi-variable structure is presented in this paper. It is proposed to optimize multi-dimensional variable structure systems for obtaining the required stabilizing signal by minimizing a performance index with respect to the state vector in the sliding mode. It is concluded the proposed variable structure controller yields better system dynamic performance than that obtained by using the only linear optimal controller inthat responses for a step disturbance have a shorter setting time, no matter what overshoot values and rising time.

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A study on application of aggregation method based on power flow matching technique and multi-variable control method to the power system (선로 조류 유지 기법에 근거한 계통축약 및 다변수 제어기법 적용 연구)

  • Lee, Byung-Ha;Oh, Min-Hyuk;Baek, Jung-Myoung
    • Proceedings of the KIEE Conference
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    • 2006.11a
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    • pp.342-344
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    • 2006
  • The modem enormous electric power system has made power system analysis much more complex and difficult. For effective analysis of the power system, model reduction and aggregation is required. In this paper, a new aggregation method is presented to aggregate the coherent generators in the large scale power system while matching the power flow. In order to demonstrate the effects of this aggregation method, it is applied to a small scale power system. A multi-variable control technique of $H_{\infty}$ control is also applied to enhance the dynamic stability of the aggregated power system.

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Optimum Controller Design of a Water Cooler for Machine Tools Based on the State Space Model (상태공간 모델링에 의한 공작기계용 수냉각기의 최적제어기 설계)

  • Jeong, Seok-Kwon;Kim, Sang-Ho
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.23 no.12
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    • pp.782-790
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    • 2011
  • Typical temperature control methods of a cooler for machine tools are hot-gas bypass and compressor variable speed control. The hot-gas bypass system has been widely used to control the cooler temperature in many general industrial fields. On the contrary, the compressor variable speed control is focused on special fields such as aerospace and high precision machine tools which need high precision control. The variable speed control system usually has two control variables such as target temperature and superheat. In other words, the variable speed control system is basically multi-input multi-output(MIMO) system. In spite of MIMO system, the proportional integral derivative(PID) feedback control methodology that based on single-input single-output (SISO) system is generally used for designing the variable speed control system. Therefore, it is inevitable to describe transfer functions for dynamic behaviors of every controlled variables and decide the PID gains with tremendous iteration process. Moreover, the designed PID gains do not provide optimum system performances. To solve these problems, high performance controller design method based on a state space model is suggested in this paper. An optimum controller is designed to minimize both control errors and energy inputs. This method was more simple to describe dynamic behaviors and easier to design the cooler controller which is MIMO system.

Control for Multi-variable in Crane System using Fuzzy Learning Method (퍼지학습법을 이용한 크레인 시스템의 다변수 제어)

  • Lim, Yoon-Kyu;Chung, Byeong-Mook
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.7
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    • pp.144-150
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    • 1999
  • n active control for the swing of crane systems is very important for increasing the productivity. This article introduces the control for the position and the swing of a crane using the fuzzy learning method. Because the crane is a multi-variable system, learning is done to control both position and swing of the crane. Also the fuzzy control rules are separately acquired with the loading and unloading situation of the crane for more accurate control. The result of simulations shows that the crane is just controlled for a very large swing angle of 1 radian within nearly one cycle.

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A MIMO VSS with an Integral-Augmented Sliding Surface for Uncertain Multivariable Systems (불확실 다변수 시스템을 위한 적분 슬라이딩 면을 갖는 다입출력 가변 구조 제어기)

  • Lee, Jung-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.5
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    • pp.950-960
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    • 2010
  • In this paper, a multi-input multi-output(MIMO) integral variable structure system with an integral-augmented sliding surface is designed for the improved robust control of uncertain multivariable system under the matched persistent disturbance. To effectively remove the reaching phase problems, the integral augmented sliding surface is proposed. Then for its design, the eigenstructure assignment technique is introduced to. To guarantee the designed performance against the persistent disturbance, the stabilizing control for multi-input system is also designed to generate the sliding mode on the integral sliding surface. The stability of the global system together with the existence condition of the sliding mode are investigated and proved for the case of multi input system in the presence of uncertainty and disturbance. The reaching phase is completely removed in proposed MIMO VSS by satisfying the two requirements. An example and computer simulations will be present for showing the usefulness of algorithm.

An Experimental Study on Variable-Speed Control of an Ground-Water Circulation Pump for a Ground Source Multi-Heat Pump System (주거용 건물 지열원 멀티 히트펌프시스템의 지열순환펌프 가변유량제어에 관한 실증연구)

  • Song, Suwon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.25 no.8
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    • pp.443-449
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    • 2013
  • The purpose of this study is to propose an enhanced variable-speed control method of ground-water circulation pumps using inlet and outlet ground-water temperature difference and analyze its effect for the ground source multi-heat pump system installed in a single-family house. As a result, it has shown to significantly reduce the electricity use of ground-water circulation pump and improve overall system Coefficient of Performance (COP) due to the proposed variable-speed control under partial load conditions after oversized and inefficient single-speed pump retrofit.

Control for crane's swing using fuzzy learning method (퍼지 학습법을 이용한 crane의 과도 진동 제어)

  • 임윤규;정병묵
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.450-453
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    • 1997
  • An active control for the swing of crane systems is very important for increasing the productivity. This article introduces the control for the position and the swing of a crane using the fuzzy learning method. Because the crane is a multi-variable system, learning is done to control both position and swing of the crane. Also the fuzzy control rules are separately acquired with the loading and unloading situation of the crane for more accurate control. The result of simulations shows that the crane is just controlled for a very large swing angle of 1 radian within nearly one cycle.

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A Study of Modeling PEM Fuel Cell System Using Multi-Variable Optimization Technique for Automotive Applications (다변수 최적화 기법을 이용한 자동차용 고분자전해질형 연료전지 시스템 모델링에 관한 연구)

  • Kim, Han-Sang;Min, Kyoung-Doug;Jeon, Soon-Il;Kim, Soo-Whan;Lim, Tae-Won;Park, Jin-Ho
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.11a
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    • pp.541-544
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    • 2005
  • This study presents the integrated modeling approach to simulate the proton exchange membrane (PEM) fuel cell system for vehicle application. The fuel cell system consisting of stack and balance of plant (BOP) was simulated with MATLAB/Simulink environment to estimate the maximum system power and investigate the effect of BOP component sizing on system performance and efficiency. The PEM fuel cell stack model was established by using a semi-empirical modeling. To maximize the net efficiency of fuel cel1 system, multi-variable optimization code was adopted. Using this method the optimized operating values were obtained according to various system net power levels. The fuel cell model established was co-linked to AVL CRUISE, a vehicle simulation package. Through the vehicle simulation software, the fuel economy of fuel cell powered electric vehicle for two types of driving cycles was presented and compared. It is expected that this study tan be effectively employed in the basic BOP component sizing and in establishing system operation map with respect to net power level of fuel cell system.

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A Study of Modeling PEM Fuel Cell System Using Multi-Variable Optimization Technique for Automotive Applications (다변수 최적화 기법을 이용한 자동차용 고분자 전해질형 연료전지 시스템 모델링에 관한 연구)

  • Kim, Han-Sang;Min, Kyoung-Doug;Jeon, Soon-Il;Kim, Soo-Whan;Lim, Tae-Won;Park, Jin-Ho
    • New & Renewable Energy
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    • v.1 no.4 s.4
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    • pp.43-48
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    • 2005
  • This study presents the integrated modeling approach to simulate the proton exchange membrane [PEM] fuel cell system for vehicle application. The fuel cell system consisting of stack and balance of plant (BOP) was simulated with MATLAB/Simulink environment to estimate the maximum system power and investigate the effect of BOP component sizing on system performance and efficiency. The PEM fuel cell stack model was established by using a semi-empirical modeling. To maximize the net efficiency of fuel cell system, multi-variable optimization code was adopted. Using this method, the optimized operating values were obtained according to various system net power levels. The fuel cell model established was co-linked to AVL CRUISE, a vehicle simulation package. Through the vehicle simulation software, the fuel economy of fuel cell powered electric vehicle for two types of driving cycles was presented and compared. It is expected that this study can be effectively employed in the basic BOP component sizing and in establishing system operation map with respect to net power level of fuel cell system.

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