• Title/Summary/Keyword: Fuzzy Nonlinear Control

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Fuzzy H$\infty$ Filtering for Nonlinear Systems with Time-Varying Delayed States

  • Lee, Kap-Rai;Lee, Jang-Sik;Oh, Do-Chang;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.99-105
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    • 1999
  • This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.

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Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems Using Fuzzy Models

  • Seo, Sam-Jun;Kim, Dong-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1262-1266
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    • 2003
  • Fuzzy sliding mode controller for a class of uncertain nonlinear dynamical systems is proposed and analyzed. The controller's construction and its analysis involve sliding modes. The proposed controller consists of two components. Sliding mode component is employed to eliminate the effects of disturbances, while a fuzzy model component equipped with an adaptation mechanism reduces modeling uncertainties by approximating model uncertainties. To demonstrate its performance, the proposed control algorithm is applied to an inverted pendulum. The results show that both alleviation of chattering and performance are achieved.

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Output Feedback Fuzzy H(sup)$\infty$ Control of Nonlinear Systems with Time-Varying Delayed State

  • Lee, Kap-Rai
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.248-254
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    • 2000
  • This paper presents and output feedback fuzzy H(sup)$\infty$ control problem for a class of nonlinear systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent a nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of fuzzy H(sup)$\infty$ controllers are given in terms of matrix inequalities. Constructive algorithm for design of fuzzy H(sup)$\infty$ controller is also developed. A simulation example is given to illustrate the performance of the proposed design method.

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Backing up Control of a Truck-Trailer using TSK Fuzzy System (TSK 퍼지시스템을 이용한 트럭-트레일러의 후진 제어)

  • 김종화;이원창;강근택
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09b
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    • pp.133-136
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    • 2003
  • This paper presents a fuzzy control scheme for backing up control of Truck-Trailer, which is nonlinear and unstable by using TSK(Takagi-Sugeno-kang) fuzzy system. The nonlinear system of Truck-Trailer was expressed by using TSK fuzzy model, and the TSK fuzzy controller was designed from TSK fuzzy model. The usefulness of the proposed algorithm for backing up truck-trailer is certificated by the computer simulations.

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Multivariable control of robot manipulators using fuzzy logic (퍼지논리를 이용한 로봇 매니퓰레이터의 다변수제어)

  • 이현철;한상완;홍석교
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.490-493
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    • 1996
  • This paper presents a control scheme for the motion of a 2 DOF robot manipulator. Robot manipulators are multivariable nonlinear systems. Fuzzy logic is avaliable human-like control without complex mathematical operation and is suitable to nonlinear system control. In this paper, Implementation of fuzzy logic control of robotic manipulators shows. Algorithm has been performed with simulation packages MATRIXx and SystemBuild.

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The Fuzzy Model-Based-Controller for the Control of SISO Nonlinear System (SISO 비선형 시스템의 제어를 위한 퍼지 모델 기반 제어기)

  • Chang, Wook;Kwon, Ok-Kook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.528-530
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    • 1998
  • This paper addresses analysis and design of a fuzzy model-based-controller for the control of uncertain SISO nonlinear systems. In the design procedure, we represent the nonlinear system by using a Takagi-Sugeno fuzzy model and construct a global fuzzy logic controller via parallel distributed compensation and sliding mode control. Unlike other parallel distributed controllers. this globally stable fuzzy controller is designed without finding a common positive definite matrix for a set of Lyapunov equations, and has good tracking performance. Furthermore, stability analysis is conducted not for the fuzzy model but for the real underlying nonlinear system. A simulation is included for the control of the Duffing forced-oscillation system, to show the effectiveness and feasibility of the proposed fuzzy control method.

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Modularized Gain Scheduled Fuzzy Logic Control with Application to Nonlinear Magnetic Bearings

  • Hong, Sung-Kyung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.4
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    • pp.384-388
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    • 1999
  • This paper describes an approach for synthesizing a modularized gain scheduled PD type fuzzy logic controller(FLC) of nonlinear magnetic bearing system where the gains of FLC are on-line adapted according to the operating point. Specifically the systematic procedure via root locus technique is carried out for the selection of the gains of FLC. Simulation results demonstrate that the proposed gain scheduled fuzzy logic controller yields not only maximization of stability boundary but also better control performance than a single operating point (without gain scheduling)fuzzy controller.

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A Study on the Control of Nonlinear Dynamical System Using the Fuzzy Model Based Controller (퍼지 모델 기반 제어기를 이용한 비선형 동적 시스템의 제어에 관한 연구)

  • Chang, Wook;Kwon, Oh-Kook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.181-184
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    • 1997
  • This paper propose the systematic procedure of the fuzzy model based controller for the continuous nonlinear system. Fuzzy controller have been successfully applied to many uncertain and complex industrial plants. The design of the fuzzy controller mainly depends on the knowledge from the expert who are familiar with the plant by trial and error. Therefore we need more systematic approach to the design of the fuzzy controller. In this paper, we design fuzzy model based controller applied to the nonlinear system. Unlike the design procedures reported in[8] and[9], we use the nonlinear process directly in designing the controller. This controller has been successfully applied to an inverted pendulum.

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ADAPTIVEK FUZZY CONTROL BASED ON SPEED GRADIENT ALGORITHM

  • Jeoung, Sacheul;Yoo, Byungkook;Ham, Woonchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.178-182
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    • 1995
  • In this paper, the fuzzy approximator and nonlinear inversion control scheme are considered. An adaptive nonlinear control is proposed based on the speed gradient algorithms proposed by Fradkov. This proposed control scheme is that three types of adaptive law is utilized to approximate the unknown function f by fuzzy logic system in designing the nonlinear inversion controller for the nonlinear system. In order to reduce the approximation errors, the differences of nonlinear function and fuzzy approximator, another three types of adaptive law is also introduced and the stability of proposed control scheme are proven with SG algorithm.

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Fuzzy Modeling Technique of Nonlinear Dynamical System and Its Stability Analysis (비선형 시스템의 퍼지 모델링 기법과 안정도 해석)

  • So, Myeong Ok;Ryu, Gil Su;Lee, Jun Tak
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.2
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    • pp.101-101
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    • 1996
  • This paper presents the linearized fuzzy modeling technique of nonlinear dynamical system and the stability analysis of fuzzy control system. Firstly, the nonlinear system is partitionized by multiple linear fuzzy subcontrol systems based on fuzzy linguistic variables and fuzzy rules. Secondly, the disturbance adaptaion controllers which guarantee the global asymptotic stability of each fuzzy subsystem by an optimal feedback control law are designed and the stability analysis procedures of the total fuzzy control system using Lyapunov functions and eigenvalues are discussed in detail through a given illustrative example.