• Title/Summary/Keyword: 다변수 제어

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Design of 2DOF(Degree-Of-Freedom) Wiener-Hopf controllers (2자유도 위너-호프 제어기 설계)

  • Cho, Yong-Seok;Min, Deuk-Gi;Choi, Goon-Ho;Lee, Jong-Sung;Kang, Ki-Won;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.437-440
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    • 1997
  • 제어공학에서 흔히 표준 모델이라고 불리우는 플랜트 모델은 여러 부 시스템이 서로 결합되어있는 복잡한 시스템을 단순화시킨 모델이다. 이 모델은 수학적으로 간략하게 표시된다는 장점 때문에 다변수 시스템의 최적 제어에 많이 쓰이고 있다. 그러나 이 모델은 수학적인 전개에는 편리하지만 물리적으로 판이하게 다른 신호군 즉, 외란 및 측정 잡음과 기준 입력 신호를 하나의 신호군으로 처리하는 약점이 있다. 실제로 이 구조로는 입력 추종 문제를 자유롭게 처리할 수 없는 경우가 있다. 본 연구에서는 이러한 문제를 개선하기 위하여 외란 및 측정 잡음과 기준 입력을 분리하여 처리할 수 있는 2자유도 제어기 구조를 제시하였다. 제어기 형태는 위너-호프 제어기로 주파수 영역에서 다 변수 시스템에 대한 최적 설계를 가능하게 한다.

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A Study on the Structural Analysis of Controllability in Chemical Processes (화학 공정의 제어성의 구조적 분석에 관한 연구)

  • Lee Byung Woo;Kim Yoon Sik;Yoon En Sup
    • Journal of the Korean Institute of Gas
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    • v.3 no.1
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    • pp.27-32
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    • 1999
  • Chemical processes are highly nonlinear, multivariable systems and have complex structures. However, the controllability evaluation procedures are complicated, and the required information is very often unknown at the early design stage. Therefore, it is necessary to develop a procedure to evaluate and enhance controllability while designing processes and plants. To evaluate controllability in the design stage, it is most efficient to analyze process structure. Relative order can be used as a measure of 'physical closeness' between input and output variable. Structural controllability analysis using relative order is shown to be effective in a case study of heat exchanger network synthesis.

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Design of Interrogator for Airspace Surveillance in Multilateration Systems (항공용 다변측정 감시시스템 적용을 위한 질문기 설계)

  • Koh, Young-Mok;Kim, Su-Hong
    • Journal of Advanced Navigation Technology
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    • v.19 no.2
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    • pp.108-115
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    • 2015
  • Multilateration systems are used to provide the position of aircraft in flight or on airport runways. In the multilateration systems, the interrogator is an important transmitter that used to interrogate the airplanes with appropriately scenario in surveillance airspace. Whisper-Shout interrogation sequence, which is one of the key functions of the interrogator, can control airport traffic density when intruder airplanes are coming into the surveillance airspace. Therefore collision chance between airplanes could be reduced and also get highly accurate location of incoming airplane in multilateration systems. In this paper, we developed the interrogator that allows it to transmit Mode A/C and Mode S interrogations which is similar to existing secondary surveillance radar. With appropriately controlled Whisper-Shout sequence in the interrogator, the multilateration systems can avoid synchronous garbling and FRUIT phenomenons caused by receiving multiple responses from a number of airplanes.

Design of sliding mode controller for uncertain multivariable systems in the absence of matching conditions (정합조건이 만족되지 않는 불확실한 다변수 계통에 대한 슬라이딩 모드 제어기의 설계)

  • 천희영;박귀태;김동식;임성준;공진수
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.439-445
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    • 1990
  • All models of dynamical systems invariably have some measure of uncertainties associated with some of their dynamics. The recent approaches to establish robustness of stabilizing feedback control against the possible uncertainties have a serious limitation, that is their applicability only to the systems that satisfy the matching conditions. Such conditions are rarely met in general applications. If a particular system satisfies the matching conditions, the addition of an actuator will destroy the satisfaction of such conditions. In this paper, we develop robust control algorithm for uncertain multivariable systems in which the matching conditions are not necessarily met. We empoly Lyapunov's second method to derive robust stabilizing controllers which guarantee asymptotic stability against prescribed uncertainties. The derivation consists of transforming the original uncertain system to controllable canonical form and constructing a constant switching surface by designing the closed-loop characteristics as a function of the uncertainties. Numerical examples are discussed as illustrations.

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[ $H_{\infty}$ ] Design for Square Decoupling Controllers Using Genetic Algorithm (유전 알고리즘을 이용한 정방 비결합 제어기의 $H_{\infty}$ 설계)

  • Lee, Jong-Sung
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.4
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    • pp.47-52
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    • 2005
  • In this paper, the genetic algorithm is used to design a fixed order square decoupling $H_{\infty}$ controllers based on the Two-Degree-of-freedom standard model. The proposed decoupling $H_{\infty}$ controller which is minimizes the maximum energy in the output signal is designed to reduce the coupling properties between the input/output variables which make it difficult to control a system efficiently. A minimal set of assumptions for existence of the decoupling controller formula is described in the state-space formulas. It is verified by an example.

Optimal Output P and PI Feedback for Discrete Time Systems (리산시스템을 위한 최적출력 P&PI궤환)

  • 신현철;변증남
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.17 no.6
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    • pp.38-43
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    • 1980
  • For linear discrete-time time-invariant multi-input mufti-output systems, a necessary condition which an optimal output Proportional feedback gains must satisfr is deiived. Quadratic performance index is used. The result is extended to the desi01 problem for determining optimal output proportional plus integral feedback gains. For illustration, an example problem is solved and discussed.

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A Study of Disinfection Process Automation through Control Logic Program Development (제어로직 프로그램 개발을 통한 소독공정 자동운전에 관한 연구)

  • Park, Jong-Duk;Shin, Gang-Wook;Hong, Sung-Taek;Lee, Chang-Goo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.8
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    • pp.3644-3653
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    • 2011
  • This study proposes the automation of disinfection process in water treat plant to reach target effluent chlorine concentration rate according to chlorine consumption rate by varying travel time. Hydraulic analysis about the process and local facility was surveyed first and the program for automatic operation was developed to solve current problem, whose applied result was presented and proved to be better than present controller. Especially using multi variable process algorithm, the correlation coefficient is analyzed between environment factor and reaction time, and process control prove to be stable through model estimation with optimal control input.

Adaptive Sliding Mode Control Design for Mismatched Uncertain Systems (비정합 불확실성을 갖는 시스템을 위한 적응 슬라이딩 모드 제어기 설계)

  • Choi, Han-Ho
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.24 no.2
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    • pp.39-43
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    • 2010
  • This paper presents an LMI-based method to design an adaptive sliding mode controller for a class of uncertain systems. In terms of LMIs an existence condition of a sliding surface is derived. And an adaptive switching feedback control law to guarantee the asymptotic stability as well as to estimate the norm bound of disturbances is proposed. Finally, a numerical design example for controlling a overhead crane model is given to show the effectiveness of the proposed method.

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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On the Application af Robust Multivariable Controller to Distillation Column (증류탑 제어에 있어서 로바스트 다변수 제어 응용에 관한 연구)

  • 고재욱;이원규
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.238-243
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    • 1986
  • Distillation columns are widely used in almost every chemical plant. The use of multivariable control for such units is attractive because of the strong interactions exhibited between outputs and inputs and the desire to control simultaneously both top and bottom products. In this research design of a robust multivariable controller for distillation column was considered; output feedback controller with proportional and integral modes was designed using pole assignment. The transfer function matrix was obtained by fitting the step response realtions between single input double output pairs of variables. This matrix was then converted to linear time invariant state space model by multivariable realization technique. With the proposed multivariable proportional and integral controller applied to the process, the result of the digital computer simulation showed a good performance of asymtotic tracking. The limited experimental performance of this multivariable control was compared with the result from simulation. It was found that the proposed controller performed satisfactorily for the distillation column which separated binary mixture of methanol and water.

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