• Title/Summary/Keyword: Model reference tracking control

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Design of Model Predictive Controllers with Velocity and Acceleration Constraints (속도 및 가속도 제한조건을 갖는 모델예측제어기 설계)

  • Park, Jin-Hyun;Choi, Young-Kiu
    • Journal of the Korean Society of Mechanical Technology
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    • v.20 no.6
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    • pp.809-817
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    • 2018
  • The model predictive controller performance of the mobile robot is set to an arbitrary value because it is difficult to select an accurate value with respect to the controller parameter. The general model predictive control uses a quadratic cost function to minimize the difference between the reference tracking error and the predicted trajectory error of the actual robot. In this study, we construct a predictive controller by transforming it into a quadratic programming problem considering velocity and acceleration constraints. The control parameters of the predictive controller, which determines the control performance of the mobile robot, are used a simple weighting matrix Q, R without the reference model matrix $A_r$ by applying a quadratic cost function from which the reference tracking error vector is removed. Therefore, we designed the predictive controller 1 and 2 of the mobile robot considering the constraints, and optimized the controller parameters of the predictive controller using a genetic algorithm with excellent optimization capability.

Trajectory Tracking Control of Pneumatic Artificial Muscle Driving Apparatus based on the Linearized Model (공압 인공근육 구동장치의 선형화 모델 기반 궤적추적제어)

  • Jang, J.S.;Yoo, W.S.
    • Journal of Power System Engineering
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    • v.10 no.3
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    • pp.97-103
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    • 2006
  • In this study, a position trajectory tracking control algorithm is proposed for a pneumatic artificial muscle driving apparatus composed of a actuator which imitates the muscle of human, a position sensor and a control valve. The controller applied to the driving apparatus is composed of a state feedback controller and disturbance observer. The feedback controller which feeds back position, velocity and acceleration is derived from the linear model of pneumatic artificial muscle driving apparatus. The disturbance observer is designed to improve trajectory tracking performance and to reduce the effect of model discrepancy. The effectiveness of the designed controller is proved by experiments and the experimental results show that the pneumatic artificial muscle driving apparatus with the proposed control algorithm tracks given position reference inputs accurately.

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Polynomial Fuzzy Modelling and Trajectory Tracking Control of Wheeled Mobile Robots with Input Constraint (입력제한을 고려한 이동로봇의 다항 퍼지모델링 및 궤적추적제어)

  • Kim, Cheol-Joong;Chwa, Dong-Kyoung;Oh, Seong-Keun;Hong, Suk-Kyo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.9
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    • pp.1827-1833
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    • 2009
  • This paper deals with the trajectory tracking control of wheeled mobile robots with input constraint. The proposed method converts the trajectory tracking problem to the system stability problem using the control inputs composed of feedforward and feedback terms, and then, by using Taylor series, nonlinear terms in origin system are transformed into polynomial equations. The composed system model can make it possible to obtain the control inputs using numerical tool named as SOSTOOL. From the simulation results, the mobile robot can track the reference trajectory well and can have faster convergence rate of the trajectory errors than the existing nonlinear control method. By using the proposed method, we can easily obtain the control input for nonlinear systems with input constraint.

A Model reference adaptive speed control of marine diesel engine by fusion of PID controller and fuzzy controller

  • Yoo, Heui-Han
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.7
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    • pp.791-799
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    • 2006
  • The aim of this paper is to design an adaptive speed control system of a marine diesel engine by fusion of hard computing based proportional integral derivative (PID) control and soft computing based fuzzy control methods. The model of a marine diesel engine is considered as a typical non oscillatory second order system. When its model and the actual marine diesel engine ate not matched, it is hard to control the speed of the marine diesel engine. Therefore, this paper proposes two methods in order to obtain the speed control characteristics of a marine diesel engine. One is an efficient method to determine the PID control parameters of the nominal model of a marine diesel engine. Second is a reference adaptive speed control method that uses a fuzzy controller and derivative operator for tracking the nominal model of the marine diesel engine. It was found that the proposed PID parameters adjustment method is better than the Ziegler & Nichols' method, and that a model reference adaptive control is superior to using only PID controller. The improved control method proposed here, could be applied to other systems when a model of a system does not match the actual system.

Development and Control of a Small BLDC Motor for Entertainment Robots

  • Lee, Jong-Bae;Park, Chang-Woo;Rhyu, Sae-Hyun;Choi, Jun-Hyuk;Chung, Joong-Ki;Sung, Ha-Gyeong
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1500-1505
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    • 2004
  • This paper presents the design and control of a small Brushless DC (BLDC) Motor for entertainment robots. In order to control the developed BLDC motor, Adaptive Fuzzy Control (AFC) scheme via Parallel distributed Compensation(PDC) is developed for the multi- input/multi-output plant model represented by the Takagi-Sugeno(TS) model. The alternative AFC scheme is proposed to provide asymptotic tracking of a reference signal for the systems with uncertain or slowly time-varying parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the plant state tracks the state of the reference model asymptotically with time for any bounded reference input signal. The suggested design technique is applied to the velocity control of a developed small BLDC motor for entertainment robots.

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Model Reference Adaptive Control of a Flexible Structure

  • Yang, Kyung-Jinn;Hong, Keum-Shik;Rhee, Eun-Jun;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1356-1368
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    • 2001
  • In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

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Output feedback-based model reference adaptive control for MIMO plants

  • Takahashi, Masanori;Mizumoto, Ikuro;Iwai, Zenta
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.181-184
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    • 1996
  • This paper deals with the design problem of model reference adaptive controllers for MIMO plants with unknown orders. A design scheme for an adaptive control system based on CGT theorem, which has hierarchical structures derived from backstepping strategies, is proposed for MIMO plants with unknown orders but with known relative MacMillan degrees(relative degrees for SISO plants). It is also shown that all the signals in the resulting control system are bounded, and that the asymptotic tracking is achieved in the case where reference inputs are step.

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Tracking Controller for Underwater Gliders Based on T-S Fuzzy Models (T-S 퍼지 모델 기반 수중글라이더를 위한 추종 제어기)

  • Lee, Gyeoung Hak;Kim, Do Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.2
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    • pp.261-269
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    • 2018
  • In this paper, we propose a Takagi-Sugeno (T-S) fuzzy-model-based design for the tracking control of a class of nonlinear underwater glider. By using the partial linearization and the sector nonlinearity, the underwater glider with six degrees of freedom (6 DOF) is modelled by the T-S fuzzy model. The concerned tracking control problem with $H_{\infty}$ performance is converted into the stabilization one for the error dynamics between the given nonlinear underwater glider and the reference time-varying input. Sufficient conditions are derived for the asymptotic stabilizability of the error dynamics in the format of matrix inequality. Simulation results demonstrate the effectiveness of the proposed design methodology.

Sampled-data Fuzzy Tracking Control of Nonlinear Control Systems (비선형 제어 시스템의 샘플치 퍼지 추적 제어)

  • Kim, Han Sol;Park, Jin Bae;Joo, Young Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.159-164
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    • 2017
  • In this paper, we propose a method of designing the sampled-data tracking controller for nonlinear systems expressed by the Takagi-Sugeno (T-S) fuzzy model. A sufficient condition that asymptotically stabilizes the state error between the linear reference model and the T-S fuzzy model is derived in terms of linear matrix inequalities. To this end, error dynamics are constructed, and the exact discretization method and the Lyapunov stability theory are employed in this paper. Finally, we validate the proposed method through the simulation example.