• Title/Summary/Keyword: fuzzy Lyapunov

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A Study on Cooperative Intelligece and Chaotic Behaviors of Distributed Autonomuos Mobile Robot Systems (분산 자율 이동 로봇 시스템의 협조 지능 및 카오스 행동의 연구)

  • Jae-Kal, Uk;Kang, Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.4
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    • pp.8-17
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    • 1998
  • Autonomous mobile robot agents(AMRAs) are robots which perform a given task by the same distributed self-organizing rules. In this paper, we let them form an equi-distance circle for the task of cooperative behaviors. Here, we suggest an algorithm to perform the taqk and then utilize a fuzzy system to improve the algorithm. It is shown that various cooperative activities appear in the simulation and particularly chaotic behaviors also appear by increasing the robot speed. Moreover, we prove the characteristics of this chaotic behaviors by calculating Lyapunov exponent.

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Control of a Segway with unknown control coefficient and input constraint

  • Park, Bong Seok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.16 no.2
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    • pp.140-146
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    • 2016
  • This paper proposes a control method of the Segway with unknown control coefficient and input saturation. To design a simple controller for the Segway with the model uncertainty, the prescribed performance function is used. Furthermore, an auxiliary variable is introduced to deal with unknown time-varying control coefficient and input saturation problem. Due to the auxiliary variable, function approximators are not used in this paper although all model uncertainties are unknown. Thus, the controller can be simple. From the Lyapunov stability theory, it is proved that all errors of the proposed control system remain within the prescribed performance bounds. Finally, the simulation results are presented to demonstrate the performance of the proposed scheme.

Backstepping Control and Synchronization for 4-D Lorenz-Stenflo Chaotic System with Single Input

  • Yu, Sung-Hun;Hyun, Chang-Ho;Park, Mig-Non
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.3
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    • pp.143-148
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    • 2011
  • In this paper, a backstepping design is proposed to achieve stabilization and synchronization for the Lorenz-Stenflo (LS) chaotic system. The proposed method is a recursive Lyapunov-based scheme and provides a systematic procedure to design stabilizing controllers. The proposed controller enables stabilization of the chaotic motion and synchronization of two identical LS chaotic systems using only a single control input. Numerical simulations are presented to validate the proposed method.

T-S Fuzzy-Model-Based Robust Speed Controller Design of Autonomous Underwater Vehicles (무인 잠수정의 T-S 퍼지 모델 기반 강인 속도 제어기 설계)

  • Youn, Young-Jun;Kim, Do-Wan;Lee, Ho-Jae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1946-1947
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    • 2011
  • 본 논문은 파라미터의 불확실성을 포함한 비선형 무인 잠수정(autonomous underwater vehicles: AUVs)의 속도 제어를 위한 강인 퍼지 제어기를 제안한다. 효율적이고 안정적인 접근을 위해 불확실성을 포함한 비선형 무인 잠수정의 속도 시스템은 타카기-수게노(Takagi-Sugeno: T-S) 퍼지 모델로 표현된다. 리아푸노프(Lyapunov) 안정도 이론을 이용하여, 무인 잠수정의 제어 성능을 보장하는 선형 행렬 부등식(linear matrix inequality: LMI) 형태의 제어기 설계 조건을 유도한다. 제안된 강인 속도 제어기 성능의 유효성을 검증하기 위해 모의실험을 수행한다.

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Nonlinear Time Series Analysis Tool and its Application to EEG

  • Kim, Eung-Soo;Park, Kyung-Gyu
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.104-112
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    • 2001
  • Simply, Nonlinear dynamics theory means the complicated and noise-like phenomena originated form nonlinearity involved in deterministic dynamical system. An almost all the natural signals have nonlinear property. However, there exist few analysis software tool or package for a research and development of applications. We develop nonlinear time series analysis simulator is to provide a common and useful tool for this purpose and to promote research and development of nonlinear dynamics theory. This simulator is consists of the following four modules such as generation module, preprocessing module, analysis module and ICA module. In this paper, we applied to Electroencephalograph (EEG), as it turned out, our simulator is able to analyze nonlinear time series. Besides, we could get the useful results using the various parameters. These results are used to diagnostic the brain diseases.

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Construct OCR on mobile mechanic system for android wireless dynamics and structure stabilization

  • Shih, Bih-Yaw;Chen, Chen-Yuan;Su, Wei-Lun
    • Structural Engineering and Mechanics
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    • v.42 no.5
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    • pp.747-760
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    • 2012
  • In today's online social structure, people with electronic devices or network have been closely related to whether any of the activities, work, school, etc., is related to electronic devices, intelligent robot, and network control. The best mobility and the first rich media of these products as smart phones, smart phones rise rapidly in recent years, high speed processing performance and high free way to install software, deeply loved by many business people. However, not only for smart phone business aspects of the use, but also can engage in education of the teachers or the students are learning a great help. This study construct OCR-assisted learning software written by the JAVA made, and the installation is provided by the Android mobile phone users.

Fuzzy Robust$H^{\infty}$ Controller Design of Nonlinear Uncertain Time Delay Systems (비선형 불확실성 시간지연 시스템의 퍼지 견실 $H^{\infty}$제어기 설계)

  • 김종해;이형호;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.5
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    • pp.30-41
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    • 1999
  • 본 논문에서는 연속시간과 이산시간에서 파라미터 불확실성과 시간지연을 가지는 비선형시스템에 대한 퍼지 견실 H∞ 제어기 설계방법을 제시한다. 비선형시스템은 변형한 T-S(Takagi- Sugeno) 퍼지모델을 사용하여 나타내고, 퍼지제어는 PDC(parallel distributed compensation) 개념을 이용한다. 또한 Lyapunov 접근방법을 이용하여 불확실성, 외란과 시간지연을 가지는 변형한 T-S 퍼지모델의 H∞ 노옴 한계를 가지는 자승적 안정성을 언급하고, LMI(linear matrix inequality) 기법을 이용하여 퍼지 견실 H∞ 제어기의 존재 조건과 제어기 설계방법을 제시한다. 그러므로 제시한 기법은 구하여진 충분조건을 만족하는 해를 찾음과 동시에 제어기를 한번에 설계할 수 있다. 마지막으로 예제를 통하여 제시한 방법의 타당성을 확인한다.

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Multiple Sliding Surface Control Approach to Twin Rotor MIMO Systems

  • Van, Quan Nguyen;Hyun, Chang-Ho
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.3
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    • pp.171-180
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    • 2014
  • In this paper, a multiple sliding surface (MSS) controller for a twin rotor multi-input-multioutput system (TRMS) with mismatched model uncertainties is proposed. The nonlinear terms in the model are regarded as model uncertainties, which do not satisfy the standard matching condition, and an MSS control technique is adopted to overcome them. In order to control the position of the TRMS, the system dynamics are pseudo-decomposed into horizontal and vertical subsystems, and two MSSs are separately designed for each subsystem. The stability of the TRMS with the proposed controller is guaranteed by the Lyapunov stability theory. Some simulation results are given to verify the proposed scheme, and the real time performances of the TRMS with the MSS controller show the effectiveness of the proposed controller.

Backstepping Control-Based Precise Positioning Control Using Robust Friction State Observer and RFNN (강인한 마찰상태관측기와 RFNN을 이용한 백스테핑 제어기반 정밀 위치제어)

  • Yeo, Dae-Yeon;Han, Seong-Ik;Lee, Kwon-Soon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.19 no.3
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    • pp.394-401
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    • 2010
  • In this article, we investigate a robust friction compensation scheme for the purpose of accomplishing precision positioning performance a servo mechanical system with nonlinear dynamic friction. To estimate the friction state and tackle robustness problem for uncertainty, a RFNN and reconstructed error compensator as well as a robust friction state observer are developed. The asymptotic stability of the series of friction compensation methodologies are verified from the Lyapunov's stability theory. Some simulations and experiments on a servo mechanical system were carried out to evaluate the effectiveness of the proposed control scheme.

Design of Fuzzy Logic Controller Considering Minimum Approximation Error (최소 근사화 에러를 고려한 퍼지 제어기의 설계)

  • 명환춘;변증남
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.197-203
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    • 1998
  • 본 논문에서는 분석적인 방법을 통하여 퍼지 제어기의 안정성을 증명할 경우에 고려해야하는 근사화 에러를 슬라이딩 모드 제어 기법과 적응 제어 법칙을 이용하여 보정하는 방법을 제시하고 있다. 특히 본 논문에서는 퍼지 제어기의 안정성에 관한 이전의 연구들과는 달리 주어진 시스템의 각각의 상태 변수들에 대한 최대 민감도(Upper Bound of Sensitivity)에 관한 정보만이 미리 주어진 경우를 다루고 있다. 모의 실험은 라이프노프(Lyapunov)함수를 사용하여 안정성이 증명될 수 있으며, 모의 실험(Simulation)을 통하여 성능을 확인할 수 있다. 또한 제어기의 적용 방법에 따라서 퍼지 제어기의 특성을 강조하거나 또는 슬라이딩 모드 제어기의 특성을 보다 더 부각 시킬 수 있도록 설계할 수 있다는 장점이 있다.

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