• Title/Summary/Keyword: Optimal controller

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The Optimal Tuning Algorithm for Fuzzy Controller

  • Oh, Sung-kwun;Park, Jong-jin;Woo, Kwang-bang
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.830-833
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    • 1993
  • In this paper, an optimal tuning Algorithms is presented to automatically improve the performance of fuzzy controller, using the simplified reasoning method and the proposed complex method. The method estimates automatically the optimal values of the parameters of fuzzy controller, according to the change rate and limitation condition of output. The controller is applied to plants with dead time. Then, computer simulations are conducted at step input and the performances are evaluated in the ITAE.

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Design of a Mixed $H_2/H_{\infty}$ PID Controller for Speed Control of Brushless DC Motor by Genetic Algorithm (유전 알고리즘에 의한 브러시리스 DC모터의 속도 제어용 혼합 $H_2/H_{\infty}$ PID제어기 설계)

  • Duy Vo Hoang;Phuong Nguyen Thanh;Kim Hak-Kyeong;Kim Sang-Bong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.77-78
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    • 2006
  • A mixed method between $H_2\;and\;H_{\infty}$ control are widely applied to systems which has parameter perturbation and uncertain model to obtain an optimal robust controller. Brushless Direct Current (BLDC) motors are widely used for high performance control applications. Conventional PID controller only provides satisfactory performance for set-point regulation. However, with the presence of nonlinearities, uncertainties and perturbations in the system, conventional PID is not sufficient to achieve an optimal robust controller. This paper presents an approach to ease designing a Mixed $H_2/H_{\infty}$ PID controller for controlling speed of Brushless DC motors and the genetic algorithm is used to solve the optimized problems. Numerical results are shown to prove that the performance in the proposed controller is better than that in the optimal PID controller using LQR approach.

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A Study on Dynamic Stability in AC-DC Power System using IA-PID Controller (IA-PID 제어기를 이용한 교류-직류시스템의 동태안정도에 관한 연구)

  • Chung, Hyung-Hwan;Chung, Hyun-Hwa;Wang, Yong-Peel;Park, Hee-Chur
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.161-163
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    • 2001
  • In this paper, a method for optimal design of PID controller using the immune algorithm(IA) has been proposed to improve the stability of A.C.-D.C. power system. To design optimal PID controller, formulation of AC-DC system equation, selection of stability analysis model, formulation immune algorithm and application model of optimal PID controller are proposed in order of the paper. In case of various disturbance, computer simulations have been performed and the proposed IA-PID controller has been compared with base controller which is conventional control technique for dynamics. From simulation results, it is demonstrated that proposed IA-PID controller has good dynamic responses about the disturbance of power system and reliability as compared with the base control.

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$H_2$ Design of the Square Decoupling Controller based on the Two-Degree-of-Freedom Standard Model ($H_2$ 기법을 이용한 2자유도 표준 모델의 정방 비결합 제어기 설계)

  • Choi, Goon-Ho;Cho, Yong-Seok;Park, Ki-Heon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.980-986
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    • 1999
  • In this paper, the optimal controller which decouples a coupled multivariable system and minimizes a quadratic performance index is proposed. Design of the controller is based on the two-degree-of-freedom standard model. The class of all stabilizing and decoupling controllers is parametrized first and the $H^{2}$optimal controller is obtained by using this parametrized form. An illustrative example for a $2{\times}2$ plant is given.

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A New Loop Shaping Method for Design of Robust Optimal PID Controller (강인한 최적 PID 제어기 설계를 위한 새로운 루프 형성 기법)

  • 윤성오;서병설
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.11C
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    • pp.1062-1069
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    • 2003
  • This paper presents a new loop shaping technique for design of robust optimal PID controllers in order to satisfy the performance requirements. PID controller can be designed by selecting the suitable weighting factors Q and R. This technique is developed by pushing all two zeros formed by PID controller closely to a larger pole of the second order plant. As a result, a good loop shaping is achieved in the high frequencies region on the Bode plot. For the robust optimal tuning of PID controller for second order system, a new loop shaping procedure is developed via LQR approach.

Load Frequency Control Charateristic of 2-Area Power Systems by Optimal PID Controller (최적PID 제어기에 의한 2지역 전력계통 부하주파수 제어특성에 관한 연구)

  • 정형환;이준탁;안병철;김용필;김해재
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.5
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    • pp.703-710
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    • 1994
  • This paper describes for the applicability of optimal PID controller to the load frequency control of 2-area power systems. The proposed optimal PID controllers are designed by the optimization technique of P.I.D's gain coefficients using the relatively ingeneous simplex method, and we have considered the system sensitivity for the optimal gains and the stable effects of systems to speed regulation changes. This PID controller for load frequency control systems with exciter shows better performances and robustness than conventional tie-line bias controller.

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The optimal control for a nonlinear system using the feedback linearization (피드백 선형화를 이용한 비선형 시스템에 대한 최적 제어)

  • Lee, Jong-Yong;Lee, Won-Seok
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.3
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    • pp.25-30
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    • 2005
  • Nonlinear optimal control problems lead to Hamilton-Tacobi equations which are not analytically solvable for most practical problems. This difficulty has led to the development of suboptimal nonlinear design techniques such as controller design based on feedback linearization(FL). In this paper, we present some simple examples where the optimal answer can be found for the optimal controller, FL controller and linear controller and determine its relative performance. As a result, we get the condition of a nonlinear system for the FL controller to an optimal design.

Optimal Tuning of a Ballscrew Driven Biaxial Servo System (외란관측기를 이용한 볼스크류 구동 2축 서보계의 최적튜닝)

  • Shin, Dong-Soo;Chung, Sung-Chong
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.5
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    • pp.589-597
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    • 2011
  • In this paper, optimal tuning of a cross-coupled controller linked with the feedforward controller and the disturbance observer is studied to improve contouring and tracking accuracy as well as robustness against disturbance. Previously developed integrated design and optimal tuning methods are applied for developing the robust tuning method. Strict mathematical modeling of the multivariable system is formulated as a state-space equation. Identification processes of the servomechanism are conducted for mechanical servo models. An optimal tuning problem to minimize both the contour error and settling time is formulated as a nonlinear constrained optimization problem including the relevant controller parameters of the servo control system. Constraints such as relative stability, robust stability and overshoot, etc. are considered for the optimization. To verify the effectiveness of the proposed optimal tuning procedure, linear and circular motion experiments are performed on the xy-table. Experimental results confirm the control performance and robustness despite the variation of parameters of the mechanical subsystems.

Robust Optimal Bang-Bang Controller Using Lyapunov Robust Stability Condition (Lyapunov 강인 안정성 조건을 이용한 강인 최적 뱅뱅 제어기)

  • Park Young-Jin;Moon Seok-Jun;Park Youn-Sik;Lim Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.411-418
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    • 2006
  • There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

Performance characteristics of a vehicle active suspension system with an optimal variable structure controller (최적 가변구조제어기를 갖는 차량 능동 현가시스템의 성능특성에 관한 연구)

  • 김주용;장효환
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1161-1166
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    • 1993
  • The performances of a vehicle active suspension system with an optimal variable structure controller are compared to those of passive suspension system and active suspension systems with sky-hook and optimal controllers. The quater car model has a 2 DOF which accounts for vertical motions of a sprung and a unsprung masses. The transient responses are analyzed when a vehicle passing through a bump with a constant speed and the frequency responses are analyzed for white noise input at wheel. Particulary, RMS responses are also analyzed. It is shown that the optimal variable structure controller gives better performance of the vehicle active suspensio system than an optimal and a sky-hook controller.

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