• Title/Summary/Keyword: nonlinear fuzzy control

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Adaptive Fuzzy Controller for the Nonlinear System with Unknown Sign of the Input Gain

  • Park Jang-Hyun;Kim Seong-Hwan;Moon Chae-Joo
    • International Journal of Control, Automation, and Systems
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    • v.4 no.2
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    • pp.178-186
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    • 2006
  • We propose and analyze a robust adaptive fuzzy controller for nonlinear systems without a priori knowledge of the sign of the input gain function. No assumptions are made about the type of nonlinearities of the system, except that such nonlinearities are smooth. The uncertain nonlinearities are captured by the fuzzy systems that have been proven to be universal approximators. The proposed control scheme completely overcomes the singularity problem that occurs in the indirect adaptive feedback linearizing control. Projection in the estimated parameters and switching in the control input are both not required. The stability of the closed-loop system is guaranteed in the Lyapunov viewpoint.

Design of Nonlinear Fuzzy PI+D Controller Using Simplified Indirect Inference Method (간편 간접추론방법을 이용한 비선형 퍼지 PI+D 제어기의 설계)

  • Chai, Chang-Hyun;Lee, Sang-Tae;Ryu, Chang-Ryul
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.2839-2842
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    • 1999
  • This paper describes the design of fuzzy PID controller using simplified indirect inference method. First, the fuzzy PID controller is derived from the conventional continuous time linear PID controller. Then the fuzzification, control-rule base, and defuzzification using SIIM in the design of the fuzzy controller are discussed in detail. The resulting controller is a discrete time fuzzy version of the conventional PID controller, which has the same linear structure. but are nonlinear functions of the input signals. The proposed controller enhances the self-tuning control capability, particularly when the process to be controlled is nonlinear. When the SIIM is applied, the fuzzy inference results can be calculated with splitting fuzzy variables into each action component and are determined as the functional form of corresponding variables. So the proposed method has the capability of the high speed inference and adapting with increasing the number of the fuzzy input variables easily. Computer simulation results have demonstrated the superior to the control performance of the one proposed by D. Misir et al.

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Adaptive Intelligent Control of Nonlinear dynamic system Using Immune Fuzzy Fusion

  • Kim, Dong-Hwa;Park, Jin-Ill
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.146-156
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    • 2003
  • Nonlinear dynamic system exist widely in many types of systems such as chemical processes, biomedical processes, and the main steam temperature control system of the thermal power plant. Up to the present time, PID Controllers have been used to operate these systems. However, it is very difficult to achieve an optimal PID gain with no experience, because of the interaction between loops and gain of the PID controller has to be manually tuned by trial and error. This paper suggests control approaches by immune fuzzy for the nonlinear control system inverted pendulum, through computer simulation. This paper defines relationship state variables $x,\dot{x},{\theta},\dot{\theta}$ using immune fuzzy and applied its results to stability.

Tracking System of Photovoltaic Generation Using DFC Controller (DFC 제어기를 이용한 태양광 발전의 추적시스템)

  • Jung, Byung-Jin;Choi, Jung-Sik;Ko, Jae-Sub;Kim, Do-Yeon;Jung, Dong-Hwa
    • Proceedings of the KIPE Conference
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    • 2008.10a
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    • pp.199-201
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    • 2008
  • In this paper proposed the solar tracking system to use direct fuzzy control order to increase an output of the PV (Photovoltaic) array. The solar tracking system operated two DC motors driving by signal of photo sensor. The control of dual axes is not an easy task due to nonlinear dynamics and unavailability of the parameters. Recently, artificial intelligent control of the fuzzy control, neural-network and genetic algorithm etc. have been studied. The fuzzy control made a nonlinear dynamics to well perform and had a robust and highly efficient characteristic about a parameter variable as well as a nonlinear characteristic. Hence the fuzzy control was used to perform the tracking system after comparing with error values of setting-up, nonlinear altitude and azimuth. In this paper designed a DFC(Direct Fuzzy Control)controller for improving output of PV array and evaluated comparison with efficient of conventional PI controller. The data which were obtained by experiment were able to show a validity of the proposed controller.

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Error Reduction of Sliding Mode Control Using Sigmoid-Type Nonlinear Interpolation in the Boundary Layer

  • Kim, Yoo-K.;Jeon, Gi-J.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1810-1815
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    • 2003
  • Sliding mode control with nonlinear interpolation in the boundary layer is proposed. A modified sigmoid function is used for nonlinear interpolation in the boundary layer and its parameter is tuned by a fuzzy logic controller. The fuzzy logic controller that takes the distance between the system state and the sliding surface as its input guides the choice of parameter of the modified sigmoid function and the parameter is on-line tuned. Owing to the decreased thickness, the proposed method has better tracking performance than the conventional linear interpolation method. To demonstrate its performance, the proposed control algorithm is applied to a simple nonlinear system model.

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Adaptive fuzzy sliding mode control for nonlinear systems (비선형 계통에 대한 적응 퍼지 슬라이딩 모드 제어)

  • 서삼준;서호준;김동식
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.684-688
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    • 1996
  • In this paper, to overcome drawbacks of variable structure control system a self-tuning fuzzy sliding mode control algorithm using gradient descent method is proposed. The proposed method has the characteristics which are viewed in conventional VSC, e.g. insensitivity to a class of disturbance, parameter variations and uncertainties in the sliding mode. To demonstrate its performance, the proposed control algorithm is applied to a one-degree of freedom robot arm. The results show that both alleviation of chattering and performance are achieved.

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Fuzzy Rule for Curve Path Tracking of a Unicycle Robot (유니사이클 로봇의 곡선경로 추종을 위한 퍼지규칙)

  • 김중완;정희균
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.425-429
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    • 1996
  • Our unicycle has simple mechanical structure. But unicycle's dynamic system is a very sensitive unstable nonlinear system. In this paper, a fuzzy inference control mechanism was established throughout an inquiry into human riding a unicycle, and we developed a direct fuzzy controller to control our unicycle robot. This proposed fuzzy controller is consisted with fuzzy logic controllers for attitude stability and wheel's velocity. Computer simulation results show that our fuzzy controller has very powerful performance to unstable nonlinear unicycle robot system.

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Construction of T-S Fuzzy Model for Nonlinear Systems (비선형 시스템에 대한 T-S 퍼지 모델 구성)

  • 정은태;권성하;이갑래
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.941-947
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    • 2002
  • Two methods of constructing T-S fuzzy model which is equivalent to a given nonlinear system are presented. The first method is to obtain an equivalent T-S fuzzy model by using the sum of linearly independent scalar functions with constant real matrix coefficients. The sum of products of linearly independent scalar functions is used in the second method. The former method is to formulate the procedures of T-S fuzzy modeling dealt in many examples of previous publications; the latter is a new method. By comparing the number of linearly independent functions used in the two methods, we can easily find out which method makes fewer rules than the other. The nonlinear dynamics of an inverted Pendulum on a cart is used as an equivalent T-5 fuzzy modeling example.

Fuzzy Rule Reduction Algorithms and the Reconstruction of Fuzzy System using Decomposition of Nonlinear Functions (비선형 함수의 분해를 이용한 퍼지시스템의 재구성과 퍼지규칙수 줄임 알고리즘)

  • 유병국
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.2
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    • pp.95-102
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    • 2001
  • Fuzzy system is capable of uniformly approximating any nonlinear function over compact input space. The applications of fuzzy system, however, have been primarily limited by the need for large number of fuzzy rules, in particular, for the high-order nonlinear system. In this paper, we propose the reconstruction methods of fuzzy systems, parallel type and cascade, based on the decomposition of some classes of high-order nonlinear functions. Using the both types appropriately, we can reduce the number of fuzzy rules geometrically. It can be applied to the fuzzy system that has an online adaptive structure. Two examples of adaptive fuzzy sliding mode control are shown in the computer simulations to verify the validity of the proposed algorithm.

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Design of Learning Fuzzy Controller by the Self-Tuning Algorithm for Equipment Systems (설비시스템을 위한 자기동조기법에 의한 학습 FUZZY 제어기 설계)

  • Lee, Seung
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.9 no.6
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    • pp.71-77
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    • 1995
  • This paper deals with design method of learning fuzzy controller for control of an unknown nonlinear plant using the self-tuning algorithm of fuzzy inference rules. In this method the fuzzy identification model obtained that the joined identification model of nonlinear part and linear identification model of linear part by fuzzy inference systems. This fuzzy identification model ordered self-tuning by Decent method so as to be servile to nonlinear plant. A the end, designed learning fuzzy controller of fuzzy identification model have learning structure to model reference adaptive system. The simulation results show that th suggested identification and learning control schemes are practically feasible and effective.

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