• Title/Summary/Keyword: Pole Placement Controller

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Fuzzy Modeling and Control of Wheeled Mobile Robot

  • Kang, Jin-Shik
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.58-65
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    • 2003
  • In this paper, a new model, which is a Takagi-Sugeno fuzzy model, for mobile robot is presented. A controller, consisting of two loops the one of which is the inner state feedback loop designed for stability and the outer loop is a PI controller designed for tracking the reference input, is suggested. Because the robot dynamics is nonlinear, it requires the controller to be insensitive to the nonlinear term. To achieve this objective, the model is developed by well known T-S fuzzy model. The design algorithm of inner state-feedback loop is regional pole-placement. In this paper, regions, for which poles of the inner state feedback loop are lie in, are formulated by LMI's. By solving these LMI's, we can obtain the state feedback gains for T-S fuzzy system. And this paper shows that the PI controller is equivalent to the state feedback and the cost function for reference tracking is equivalent to the LQ(linear quadratic) cost. By using these properties, it is also shown in this paper that the PI controller can be obtained by solving the LQ problem.

Control of a Inverted Pendulum Using Fuzzy-PID Controller (퍼지 PID 제어기를 이용한 도립진자 제어)

  • Shin, Ja-Ho;Hong, Dae-Seung;Ryu, Chang-Wan;Ko, Jae-Ho;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.859-861
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    • 1999
  • This paper describes the development of a fuzzy gain scheduling scheme of PID controller for inverted pendulum system. Fuzzy rules and reasoning are utilized on-line to determine the controller parameters based on the error signal and its difference. Simulation results demonstrate that better control performance can be achieved in comparison with PID controller using pole placement to control of a Inverted pendulum.

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Design of a Speed Controller for 2-Mass System Based on Neural Network and Observer (신경 회로망과 관측기에 기반한 2-mass 시스템에서의 속도 제어기 설계)

  • 현대성;박정일
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.361-361
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    • 2000
  • In the 2-mass system with flexible shaft, a torsional vibration is often generated because of the elastic elements in torque transmission as the newly required speed response which is very close to the primary resonant frequency. This vibration makes it difficult to achieve quick responses of speed and disturbance rejection. In this paper, 2-mass system is designed by using pole placement based on optimal control theory fur fast speed response and torsional vibration elimination and using neural network for disturbance rejection in particular. The simulation results show that the proposed controller based on neural network and full state feedback controller has better performance than 려ll state feedback controller, especially fur disturbance rejection.

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Position Control of an Electro-hydraulic Servo System with Sliding Mode (전기유압 서보시스템의 슬라이딩 모드 위치제어)

  • Huh, Jun Young
    • Journal of Drive and Control
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    • v.18 no.3
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    • pp.16-22
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    • 2021
  • The variable structure controller has the characteristic that while in sliding mode, the system moves along the switching plane in the vicinity of the switching plane, so it is robust to the parameter fluctuations of the plant. However, a controller based on a variable structure may not meet the desired performance when it is commanded to track any input or exposed to disturbances. To solve this problem, a sliding mode controller based on the IVSC approach excluding an integrator is proposed in this study. The proposed sliding mode control was applied to the position control of a hydraulic cylinder piston. The sliding plane was determined by the pole placement and the control input was designed to ensure the existence of the sliding mode. The feasibility of the modeling and controller was reviewed by comparing it with a conventional proportional control through computer simulation using MATLAB software and experiment in the presence of significant plant parameter fluctuations and disturbances.

Depth Control of Autonomous Underwater Vehicle Using Robust Tracking Control (강인추적 제어를 이용한 자율 무인 잠수정의 심도제어)

  • Chai, Chang-Hyun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.4
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    • pp.66-72
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    • 2021
  • Since the behavior of an autonomous underwater vehicle (AUV) is influenced by disturbances and moments that are not accurately known, the depth control law of AUVs must have the ability to track the input signal and to reject disturbances simultaneously. Here, we proposed robust tracking control for controlling the depth of an AUV. An augmented closed-loop system is represented by an error dynamic equation, and we can easily show the asymptotic stability of the overall system by using a Lyapunov function. The robust tracking controller is consisted of the internal model of the command signal and a state feedback controller, and it has the ability to track the input signal and reject disturbances. The closed-loop control system is robust to parameter uncertainties. Simulation results showed the control performance of the robust tracking controller to be better than that of a P + PD controller.

Airplane mode decoupling using eigenstructure assignment via non-linear optimization (항공기 운동분리의 비선형 최적화를 이용한 고유공간지정법의 응용)

  • 이승재;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.920-925
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    • 1993
  • For a multi-input, multi-output system, it is widely known that feedback control gain presents extra freedom pole placement problem. An eigenstructure assignment utilizes this freedom for assignment of all or some elements of the closed-loop eigenvectors. In this paper, a nonlinear optimization technique is adopted to obtain a small gain controller that assigns closed-loop eigenvalues and elements of eigenvectors simultaneously. To illustrate the approach, a numerical example of the Airplane mode decoupling using an advanced fighter is shown.

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Robustness of Continuous-time Self-Tuning Control (연속시간 자기동조 제어기의 강인성)

  • Kim, Jong-Moon;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.360-364
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    • 1989
  • In this paper, the robustness of self tuning controller for continuous time system is investigated. The continuous time least square algorithm is used in estimating parameters. The main control algorithm is the pole-zero placement control. The effects of unmodeled dynamics on continuous time approach and discrete-time approach are compared.

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Robust LQ control of magnetically levitation systems with a combined lift and guidance using loop-shaping techniques (루프형성 기법을 이용한 편심배치방식 자기부상 시스템의 강인 LQ 제어)

  • 박전수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.747-753
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    • 1992
  • The modeling and control design schemes are developed for maglev systems with a combined lift and guidance. First, bond graph techniques are applied for modeling these multi-energy domain systems more logically and systematically. And the stability loop via pole placement and the performance loop via loop-shaping LQ control are designed. The suggested controller satisfies the required characteristics of stability and performance simultaneously. Finally, the robustness of the synthesized maglev control system is evaluated for the variations of air gap and vehicle mass through computer simulation.

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Adaptive Pole Placement Control of Nonminimum Phase Plants Using Reference Model (비최소 위상 공정의 기준모델을 이용한 극배치 적응제어)

  • 홍연찬;박용석;김중환;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.9
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    • pp.1046-1050
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    • 1988
  • A direct adaptive control algorithm for discrete-time SISO systems with arbitrary zeros is presented in a general way by making use of reference model. A linear equation error model is formulated for estimating both the controller parameters and the auxiliary parameters. With this algorithm, asyptotic tracking within an arbitrarily small error can be achieved.

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Covariance Controller Design for Linear SISO Systems

  • Kim, Ho-Chan;Oh, Seong-Bo;Ko, Bong-Woon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.54.1-54
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    • 2001
  • In this paper, an alternate method for state-covariance assignment for SISO(single input singe output) linear systems is proposed. This method is based on the inverse solution of the Lyapunov matrix equation and the resulting formulas are similar in structure to the formulas for pole placement. Further, the set of all assignable covariance matrices to a SISO linear system is also characterized.

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