• Title/Summary/Keyword: multivariable process

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Adaptive Control of a Multivariable System Using $\mu$-Computer (마이크로콤퓨터를 이용한 다변수 시스템의 적응제어에 관한 연구)

  • Kim, Young-Key;Bien, Zeungnam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.16 no.5
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    • pp.27-33
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    • 1979
  • It is reported that a typical multivariable system of chemical process type was constructed and control experiment was conducted using a $\mu$-computer instead of using conventional hardwave controller. When the pressure of water to be supplied to the multivariable system is varying, an adaptive control method using a flowmeter is suggested to enhance the control performance.

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Multivariable Control of Cold-Rolling Mills with Roll Eccentricity (롤편심을 포함한 냉간압연 시스템의 다변수 제어)

  • Kim, Jong-Sik;Kim, Seung-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.3
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    • pp.502-510
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    • 1997
  • A disturbance rejection controller using eccentricity filtering and LQ control techniques is proposed to alleviate the effecto of major roll eccentricity in multivariable cold-rolling processes. Fundamental problems in multivariable cold-rolling processes such as process time delay inherent in exit thickness measurement and non-stationary characteristics of roll eccentricity signals can be overcome by the proposed control method. The filtered instantaneous estimate of roll eccentricity may be exploited to improve instantaneous estimate of the exit thickness variation based on roll force and roll gap measurements, and a feedforward compensator is augmented as a reference for a gaugemeter thickness estimator. LQ feedback controller is combined with eccentricity filter for the attenuation of the exit thickness variation due to the entry thickness variation. The simulation results show that the roll eccentricity disturbance is significantly eliminated and other disturbances also are attenuated.

Energy-saving optimization on active disturbance rejection decoupling multivariable control

  • Da-Min Ding;Hai-Ma Yang;Jin Liu;Da-Wei Zhang;Xiao-Hui Jiang
    • Nuclear Engineering and Technology
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    • v.55 no.3
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    • pp.850-860
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    • 2023
  • An industrial control process multiple-input multiple-output (MIMO) coupled system is analyzed in this study as an example of a Loss of Coolant Accident (LOCA) simulation system. Ordinary control algorithms can complete the steady state of the control system and even reduce the response time to some extent, but the entire system still consumes a large amount of energy after reaching the steady state. So a multivariable decoupled energy-saving control method is proposed, and a novel energy-saving function (economic function, Eco-Function) is specially designed based on the active disturbance rejection control algorithm. Simulations and LOCA simulation system tests show that the Eco-function algorithm can cope with the uncertainty of the multivariable system's internal parameters and external disturbances, and it can save up to 67% of energy consumption in maintaining the parameter steady state.

A Change in the Students' Understanding of Learning in the Multivariable Calculus Course Implemented by a Modified Moore Method (Modified Moore 교수법을 적용한 다변수미적분학 수업에서 학습에 대한 학생들의 인식 변화)

  • Kim, Seong-A;Kim, Sung-Ock
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.259-282
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    • 2010
  • In this paper, we introduce a modified Moore Method designed for the multivariable calculus course, and discuss about the effective teaching and learning method by observing the changes in the understanding of students' learning and the effects on students' learning in the class implemented by this modified Moore Method. This teaching experiment research was conducted with the 15 students who took the multivariable calculus course offered as a 3 week summer session in 2008 at H University. To guide the students' active preparation, stepwise course materials structured in the form of questions on the important mathematical notions were provided to the students in advance. We observed the process of the students' small-group collaborative learning activities and their presentations in the class, and analysed the students' class journals collected at the end of every lecture and the survey carried out at the end of the course. The analysis of these results show that the students have come to recognize that a deeper understanding of the subjects are possible through their active process of search and discovery, and the discussion among the peers and teaching each other allowed a variety of learning experiences and reflective thinking.

A Study on The Neural Network Controller using Relative Gain Matrix Technique (상대이득 행렬 기법을 이용한 신경망 제어기 설계에 관한 연구)

  • Seo, Ho-Joon;Seo, Sam-Jun;Kim, Dong-Sik;Park, Gwi-Tae
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.606-608
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    • 1997
  • In this paper, Neuro-Fuzzy Controller(NFC), a fuzzy system realized using a neural network, is to adopt for the multivariable system. In the multivariable system, the interactive effects between the variables should be taken into account. A simple compensator, using the steady-state information can be obtained for open-loop stable systems, is presented to cope with this problem. However, it should be supposed that the plant is unknown to the control system designer, but an estimate of the DC gain has been obtained by carrying out experiments on the plant. Also, if the variables are not combinated completely, it is difficult to design the controller. Therefore, we design a neuro-fuzzy controller which controls a multivariable system with only input output informations, and compare its performance with that of a PI controller. In the proposed controller, the construction of the membership functions and rule base, which is highly heuristic, can be achieved using a training process. This allows the combination of knowledge of human experts and evidence from input-output data.

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A Study on Cognitive Development of Scientifically Talented Students toward Definition and Theorem in the Course of Multivariable Calculus

  • Kim, Seong-A;Choi, Jongsool
    • Research in Mathematical Education
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    • v.16 no.3
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    • pp.195-206
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    • 2012
  • We adopt a spirit of Problem based learning to the class of Multivariable Calculus in a school of scientifically talented students and observed effects of our teaching-learning method in the Spring Semester of 2010. Twelve students who enrolled in this class participated in this research. We have proceeded with classroom experiment for the half of semester after midterm exam so that the students could compare our teaching-learning method with usual traditional one in the subject of multivariable calculus. Especially, we investigated changes in the learning attitude and cognitive development of the students toward definition and theorem of mathematics. Each group of 4 students worked on a sheet of our well-designed structured problems of several steps in each class and presented how they understood the way of constructing new definition and related theorems. Instructor's role in this research was to guide students' activities as questioner so that students could attain the clear meanings of definitions and theorems by themselves. We firstly analyzed students' process of mathematization of definition through observing their discussions and presentations as well as their achievements in the quizzes and final exams. Secondly, we analyzed students' class-diaries collected at the end of each class in addition to pre/post surveys.

Design of fuzzy controller for activated sludge process in sewage water treatment system (하수처리 시스템에서의 활성오니공정 제어를 위한 퍼지제어기 설계)

  • 황희수;오성권;김현기;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.209-212
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    • 1990
  • The activated sludge process is a commonly used method for treating sewage and waste waters. The process is characterized by a lack of measurement instrumentations and control goals that are neither well defined nor well understood. In the present study the concept of fuzzy control is employed for such process in which a design method for fuzzy controller based on a multivariable fuzzy reasoning algorithms is investigated and then simulation results are presented.

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Design of the multivariable hard nonlinear controller using QLQG/$H_{\infty}$ control (QLQG/$H_{\infty}$ 제어를 이용한 다변수 하드비선형 제어기 설계)

  • 한성익;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.81-84
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    • 1996
  • We propose the robust nonlinear controller design methodology, the $H_{\infty}$ constrained quasi - linear quadratic Gaussian control (QLQG/ $H_{\infty}$), for the statistically-linearized multivariable system with hard nonlinearties such as Coulomb friction, deadzone, etc. The $H_{\infty}$ performance constraint is involved in the optimization process by replacing the covariance Lyapunov equation with the Riccati equation whose solution leads to an upper bound of the QLQG performance. Because of the system's nonlinearity, however, one equation among three Riccati equations contain the nonlinear correction terms that are very difficult to solve numerically. To treat this problem, we use simple algebraic techniques. With some analytic transformation for Riccati equations, the nonlinear correction terms can be so eliminated that the set of a linear controller to the different operating points are designed. Synthesizing these via inverse random input describing function (IRIDF) technique, the final nonlinear controller can be designed.

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Thickness Control of Cold-Rolling Mills with Roll Eccentricity (롤편심을 포함한 냉간 압연시스템의 두께제어)

  • 김승수;김종식;황이철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.248-254
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    • 1996
  • A disturbance rejection controller using eccentricity filtering and LQ control techniques is proposed to alleviate significantly the effect of roll eccentricity in multivariable cold-rolling processes. Fundamental problems such as process time delay inherent in exit thickness measurement and non-stationary characteristics of roll eccentricity signals can be overcome by the proposed control method. The filtered instantaneous estimate of roll eccentricity may be exploited to improve instantaneous estimate of the exit thickness variation based on roll force and roll gap mearsurements, and a feedforward compensator is augmented as a reference for a gaugemeter thickness estimator. And, LQ feedback controller is combined with eccentricity filter for the attenuation of the exit thickness variation due to the entry thickness variation. The simulation results show that eccentricity components have been significantly eliminated and simultaneously other distrubances also have been attenuated.

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Internal Model Control for Unstable Overactuated Systems with Time Delays

  • Mahmoud, Ines;Saidi, Imen
    • International Journal of Computer Science & Network Security
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    • v.21 no.1
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    • pp.64-69
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    • 2021
  • In this paper, we have proposed a new internal model control structure (IMC). It is aimed at unstable overactuated multivariable systems whose transfer matrices are singular and unstable. The model inversion problem is essential to understand this structure. Indeed, the precision between the output of the process and the setpoint is linked to the quality of the inversion. This property is preserved in the presence of an additive disturbance at the output. This inversion approach proposed in this article can be applied to multivariable systems with no minimum phase or minimum phase shift with or without delays in their transfer matrices. It is proven by an example of simulation through which we have shown its good performance as a guarantee of stability, precision as well as rapidity of system responses despite the presence of external disturbances and we have tested this control structure in the frequency domain hence the robustness of the IMC.