• Title/Summary/Keyword: Controller Design Problem

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Optimal Design of a 2-Layer Fuzzy Controller using the Schema Co-Evolutionary Algorithm

  • Park Chang-Hyun;Sim Kwee-Bo
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.403-410
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    • 2005
  • Nowadays, versatile robots are developed around the world. Novel algorithms are needed for controlling such robots. A 2-Layer fuzzy controller can deal with many inputs as well as many outputs, and its overall structure is much simpler than that of a general fuzzy controller. The main problem encountered in fuzzy control is the design of the fuzzy controller. In this paper, the fuzzy controller is designed by the schema co-evolutionary algorithm. This algorithm can quickly and easily find a global solution. Therefore, the schema co-evolutionary algorithm is used to design a 2-layer fuzzy controller in this study. We apply it to a mobile robot and verify the efficacy of the 2-layer fuzzy controller and the schema co-evolutionary algorithm through the experiments.

Optimal Design of a 2-Layer Fuzzy Controller Using the Schema Co-Evolutionary Algorithm

  • Byun, Kwang-Sub;Sim, Kwee-Bo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.3
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    • pp.341-346
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    • 2004
  • Nowadays, versatile robots are developed around the world. Novel algorithms are needed for controlling such robots. A 2-Layer fuzzy controller can deal with many inputs as well as many outputs, and its overall structure is much simpler than that of a general fuzzy controller. The main problem encountered in fuzzy control is the design of the fuzzy controller. In this paper, the fuzzy controller is designed by the schema co-evolutionary algorithm. This algorithm can quickly and easily find a global solution. Therefore, the schema co-evolutionary algorithm is used to design a 2-layer fuzzy controller in this study. We apply it to a mobile robot and verify the efficacy of the 2-layer fuzzy controller and the schema co-evolutionary algorithm through the experiments.

Dynamic State Feedback Controller Synthesis for Fuzzy Models (퍼지 모델을 위한 동적 상태 피드백 제어기 설계)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.528-530
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    • 1999
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex single input single output nonlinear systems. Firstly, the nonlinear system is represented by well-known Takagai-Sugeno (TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller usually is composed of two processes. One is to determine static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative of the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. One simulation example is given to show the effectiveness and feasibility of the proposed fuzzy controller design method.

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Design of reduced-order controllers in two-degree-of-freedom control systems

  • Nakamura, T.;Obinata, G.;Inooka, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.753-758
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    • 1988
  • In this paper, we propose a new method of designing a reduced-order controller for a linear discrete-time system. Firstly, we study a design problem for a two-degree-of-freedom control system with a feedforward controller. Secondly, in order to obtain a reduced-order controller, frequency-weighted least squares approximation problems are considered. Thirdly, we propose a synthesis procedure of a reduced-order controller. Finally, an example is given to illustrate the effectiveness of this proposed method.

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Design of fuzzy model-based controller for activated sludge process (활성오니 공정의 퍼지 모델 베이스형 제어기의 설계)

  • 김현기;오성권;황희수;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.922-927
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    • 1991
  • This study is aimed to investigate a design problem of the fuzzy logic controller for the activated sludge process(ASP) in sewage treatment. The modeling technique proposed by Sugeno is used to express the ASP effectively and identification of a fuzzy model of the ASP is carried out utilizing actual operational data obtained from a metropolitan sewage plants. The model-based fuzzy controller is designed by rules generated from the identified ASP fuzzy model. Feasibility of the designed controller is tested through computer simulations.

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$H_{\infty}$ CONTROLLER DESIGN VIA LQ GAME PROBLEM FOR DISRETE TIME SYSTEM

  • Kwon, Wook-Hyun;Lee, Joon-Hwa;Kim, Won-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.864-867
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    • 1990
  • In this paper, a state space solution to the discete time H$_{\infty}$ control problem is presented. It is shown that there exist LQ game problem corresponding to H$_{\infty}$ control problems and the H$_{\infty}$ controller can be obtained by solving the LQ game problem. Explicit state space formulae are given for the state feedback H$_{\infty}$ controller and output feedback H$_{\infty}$ controllers.lers. state feedback $H_{\infty}$ controller and output feedback $H_{\infty}$ controllers.

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The design of the SD H$_{\infty}$ controller with PID performance (PID 성능을 갖는 SD H$_{\infty}$ 제어기 설계)

  • 조도현;원영진;이종용
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.37 no.5
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    • pp.103-110
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    • 2000
  • In This paper, we propose a design procedure for a SD $H_{\infty}$controller with PID performance. In developing the procedure, we use the basic idea of standard$H_{\infty}$problem, and then applied it to the SD system, which consists of the continuous plant and the discrete controller. This $H_{\infty}$controller design procedure involves the selections of weighting functions. The selections considered the relation of the closed loop specification between the $H_{\infty}$controller and PID. We illustrate this procedure in the controller design for a two-mass spring system.

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LMI-based Design of PI-type H∞ Controller for Poly topic Models (폴리토픽 모델을 위한 PI 형 H∞ 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.3
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    • pp.255-257
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    • 2009
  • The robust stabilization problem of a multivariable uncertain system with a polytopic model is considered. A PI-type $H_{\infty}$ controller with a low pass filter is used for robust stabilization and noise rejection. The problem is reduced to an LMI optimization problem. A sufficient condition for the existence of the PI controller is derived in terms of LMIs. The PI gain matrices are parameterized by using the solution matrices to the existence conditions. Finally, a numerical design example is given.

Advanced controller design for AUV based on adaptive dynamic programming

  • Chen, Tim;Khurram, Safiullahand;Zoungrana, Joelli;Pandey, Lallit;Chen, J.C.Y.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.233-260
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    • 2020
  • The main purpose to introduce model based controller in proposed control technique is to provide better and fast learning of the floating dynamics by means of fuzzy logic controller and also cancelling effect of nonlinear terms of the system. An iterative adaptive dynamic programming algorithm is proposed to deal with the optimal trajectory-tracking control problems for autonomous underwater vehicle (AUV). The optimal tracking control problem is converted into an optimal regulation problem by system transformation. Then the optimal regulation problem is solved by the policy iteration adaptive dynamic programming algorithm. Finally, simulation example is given to show the performance of the iterative adaptive dynamic programming algorithm.

Design of a Low-Order H Controller Using an Iterative LMI Method (반복 선형행렬부등식을 이용한 저차원 H 제어기 설계)

  • Kim Chun-Kyung;Kim Kook-Hun;Moon Young-Hyun;Kim Seog-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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    • pp.279-283
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    • 2005
  • This paper deals with the design of a low-order H/sub ∞/ controller by using an iterative linear matrix inequality (LMI) method. The low-order H/sub ∞/ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, the recently developed penalty function method is applied. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. Numerical experiments showed the effectiveness of the proposed algorithm.