• Title/Summary/Keyword: Multivariable Control System

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Robust Controller Design for Uncertain Dynamic System Using Time Delay Control and Sliding Mode Control Method (시간지연 제어와 슬라이딩모드 제어기법을 이용한 불확실한 동적 시스템의 강인 제어기 설계)

  • 박병석;이인성;윤지섭;강이석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.225-225
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    • 2000
  • We propose the hybrid robust controller for TDC(Time Delay Control) and SMC(Sliding Mode Control) method. TDC and SMC deal with the time-varying system parameters, unknown dynamics and unexpected disturbance. This controller is applied to follow the desired reference model for the uncertain time-varying overhead crane. The control performance is evaluated through simulation. The theoretical results indicate That the proposed controller shows excellent performance to an overhead crane with the uncertain time-varying parameters and disturbance.

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Autopilot design for BTT flight vehicles (이동중인 비행시스템의 자동조종장치 설계)

  • 백운보;허남수;이만형;황창선
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.87-92
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    • 1989
  • An autopilot for the class of Bank-To-Turn missiles is developed using a multivariable plant model & control design methodology. The roll-pitch-yaw cross coupling is included in the design considerations. Feedback system is designed using the Linear Quadratic Gaussian with Loop Transfer Recovery (LQG/LTR). Nonlinear simulations are presented to demonstrate the performances of the designed system.

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Nanoscale Dynamics, Stochastic Modeling, and Multivariable Control of a Planar Magnetic Levitator

  • Kim, Won-Jong
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.1-10
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    • 2003
  • This paper presents a high-precision magnetically levitated (maglev) stage to meet demanding motion specifications in the next-generation precision manufacturing and nanotechnology. Characterization of dynamic behaviors of such a motion stage is a crucial task. In this paper, we address the issues related to the stochastic modeling of the stage including transfer function identification, and noise/disturbance analysis and prediction. Provided are test results on precision dynamics, such as fine settling, effect of optical table oscillation, and position ripple. To deal with the dynamic coupling in the platen, we designed and implemented a multivariable linear quadratic regulator, and performed time-optimal control. We demonstrated how the performance of the current maglev stage can be improved with these analyses and experimental results. The maglev stage operates with positioning noise of 5 nm rms in $\chi$ and y, acceleration capabilities in excess of 2g(20 $m/s^2$), and closed-loop crossover frequency of 100 Hz.

Experimental Examination of Multivariable PID Controller Design on Frequency Domain using Liquid Level Process

  • Eguchi, Kazuki;Iwai, Zenta;Mizumoto, Ikuro;Kumon, Makoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.786-791
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    • 2005
  • This paper is concerned with the examination and evaluation concerning a tuning method of multivariable PID controllers based on partial model matching on frequency domain proposed by authors from practical view point. In this case, PID controller parameters are determined by minimizing the loss function defined by the difference between frequency response of ideal model transfer function and actual frequency response on several frequency points. The purpose of the paper is to examine and evaluate the performance of the method through actual experiments of MIMO liquid level experimental process control equipment.

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The robust controller design for linear multivariable servo mechanism using switching dynamics (스위칭 동태방정식을 이용한 선형 다변수서보메카니즘에 대한 견고한 제어기 설계)

  • 박귀태;곽군평;김동식;최중경;주영중
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.535-540
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    • 1989
  • This paper presents an approach for designing a linear multivariable servo mechanism for the case of constant and time varying disturbances. In this paper, we use an "observer-based" approach to consider the disturbance vector as states of the system and the resulting servomechanism design involves the design of an asymptotic observer which estimates both the actual plant states and the disturbance states. The design makes use of switching dynamics instead of switching logics to obtain the sliding mode and from the switching dynamics we can remove the undesirable chattering phenomena.phenomena.

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A study on the robust model-following control system (Robust 모델추종 제어계통에 관한 연구)

  • 천희영;박귀태;이종렬
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.373-376
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    • 1986
  • This paper proposes a robust model following control system which realizes good properties such as asymptotic stability, disturbance rejection and model following with reduced sensitivity for plant parameter variation. This algorithm can be easily applied to the multivariable control systems and the control structure is simple. As an example the aircraft control system of a convair C-131B is designed and its characteristics are examined by simulation.

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A Simple Method to Make the Quadruple Tank System Near Linear

  • Lee, Jietae;Kyoung, Inhyun;Heo, Jea Pil;Park, YoungSu;Lim, Yugyeong;Kim, Dong Hyun;Lee, Yongjeh;Yang, Dae Ryook
    • Korean Chemical Engineering Research
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    • v.55 no.6
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    • pp.767-770
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    • 2017
  • Quadruple tank liquid level systems are popular in testing multivariable control systems for multivariable processes with positive or negative zeros. The liquid level system is nonlinear and it will help to illustrate the robustness of control systems. However, due to nonlinearity, it can be cumbersome to obtain process parameters for testing linear control systems. Perturbation sizes are limited for valid linearized process models, requiring level sensors with high precision. A simple method where the outlet orifice is replaced to a long tube is proposed here. The effluent flow rate becomes proportional to the liquid level due to the friction loss of long tube and the liquid level system shows near linear dynamics. It is applied to the quadruple tank system for easier experiments.

Application of Coefficient Diagram Method for Multivariable Control of Overhead Crane System

  • Tantaworrasilp, A.;Benjanarasuth, T.;Ngamwiwit, J.;Komine, N.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2240-2245
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    • 2003
  • In this paper, the controller design by coefficient diagram method (CDM) for controlling the trolley position, load-swing angle and hoisting rope length of the overhead crane system simultaneously is proposed. The overhead crane system is a MIMO system consisting of two inputs and three outputs. Its mathematical model is nonlinear with coupling characteristics. This nonlinear model can be approximated to obtain a linear model where the first input mainly affects the trolley position and the load-swing angle while the second input mainly affects the hoisting rope length. In order to utilize the CDM concept for assigning the controllers, namely PID, PD and PI controllers separately, the model is approximated to be three transfer functions in accordance with trolley position, the load-swing angle and the hoisting rope length controls respectively. The satisfied performances of the overhead crane system controlled by the these controllers and fast rejection of the disturbance effect occurred at the trolley position are shown by simulation and experimental results.

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Robust Nonlinear Multivariable Control for the Hard Nonlinear System with Structured Uncertainty (구조화된 불확실성을 갖는 하드 비선형 시스템에 대한 강인한 다변수 비선형 제어)

  • 한성익;김종식
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.128-141
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    • 1998
  • We propose the robust nonlinear controller design methodology for the multivariable system which has hard nonlinearities (Coulomb friction, dead-zone, etc) and the structured real parameter uncertainty. The hard nonlinearity can be linearized by the RIDF technique and structured real parameter uncertainty can be modelled as the sense of Peterson-Hollot's quadratic Lyapunov bound. For this system, we apply the robust QLQG/H$_{\infty}$ control and then can obtain four Riccati equations. Because of the system's nonlinearity, however, one Riccati equation contains the nonlinear correction term that is very difficult to solve numerically, In order to treat this problem, using some transformations to Riccati equations, the nonlinear correction term can be eliminated. Then, only two Riccati equations need to design a controller. Finally, the robust nonlinear controller is synthesized via IRIDF techniques. To test this proposed control method, we consider the direct-drive robot manipulator system that has Coulomb frictions and varying inertia.

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