• 제목/요약/키워드: Chaotic Systems

검색결과 311건 처리시간 0.027초

Hybrid State Space Self-Tuning Fuzzy Controller with Dual-Rate Sampling

  • Kwon, Oh-Kook;Joo, Young-Hoon;Park, Jin-Bae;L. S. Shieh
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.244-249
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    • 1998
  • In this paper, the hybrid state space self-tuning control technique Is studied within the framework of fuzzy systems and dual-rate sampling control theory. We show that fuzzy modeling techniques can be used to formulate chaotic dynamical systems. Then, we develop the hybrid state space self-tuning fuzzy control techniques with dual-rate sampling for digital control of chaotic systems. An equivalent fast-rate discrete-time state-space model of the continuous-time system is constructed by using fuzzy inference systems. To obtain the continuous-time optimal state feedback gains, the constructed discrete-time fuzzy system is converted into a continuous-time system. The developed optimal continuous-time control law is then convened into an equivalent slow-rate digital control law using the proposed digital redesign method. The proposed technique enables us to systematically and effective]y carry out framework for modeling and control of chaotic systems. The proposed method has been successfully applied for controlling the chaotic trajectories of Chua's circuit.

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Fuzzy Modeling of a PMSM Chaotic System

  • Zhong Li;Joo, Young-Hoon;Park, Jin-Bae
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.153-156
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    • 2000
  • In this paper, a mathematical model of a permanent-magnet synchronous motor (PMSM) is derived, and the steady-state characteristics of this system, when subject to constant input voltages and constant external torque, are formulated. It is shown that the PMSM model can exhibit a variety of chaotic phenomena, under some choices of system parameters and external inputs. Based on TS fuzzy modeling methodology, the TS fuzzy model of the PMSM chaotic system is presented, so the interaction between fuzzy system and chaos can be explored, and then fuzzy-model-based control methodologies can be used to control chaos in chaotic systems. Computer simulations show that the strange attractors in the derived TS fuzzy system and original chaotic system are topologically equivalent.

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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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    • 제11권3호
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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.

웨이블릿 신경 회로망을 이용한 혼돈 비선형 시스템에 대한 예측 제어기 설계 (The Design of Predictive Controller for Chaotic Nonlinear Systems Using Wavelet Neural Networks)

  • 박상우;최종태;최윤호;박진배
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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    • pp.183-186
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    • 2002
  • In this paper, a predictive control method using wavelet neural network for chaotic nonlinear systems is presented. In our method, we use the adjusting method of the parameter for the training a wavelet neural network. The control signals are directly obtained by minimizing the difference between a reference signal and the output of a wavelet neural network. To verify the efficiency of our method, we apply it to the Duffing and the Henon system, which are a representative continuous and discrete time chaotic nonlinear system respectively.

Chaotic Forecast of Time-Series Data Using Inverse Wavelet Transform

  • Matsumoto, Yoshiyuki;Yabuuchi, Yoshiyuki;Watada, Junzo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.338-341
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    • 2003
  • Recently, the chaotic method is employed to forecast a near future of uncertain phenomena. This method makes it possible by restructuring an attractor of given time-series data in multi-dimensional space through Takens' embedding theory. However, many economical time-series data are not sufficiently chaotic. In other words, it is hard to forecast the future trend of such economical data on the basis of chaotic theory. In this paper, time-series data are divided into wave components using wavelet transform. It is shown that some divided components of time-series data show much more chaotic in the sense of correlation dimension than the original time-series data. The highly chaotic nature of the divided component enables us to precisely forecast the value or the movement of the time-series data in near future. The up and down movement of TOPICS value is shown so highly predicted by this method as 70%.

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A study on the Adaptive Controller with Chaotic Dynamic Neural Networks

  • Kim, Sang-Hee;Ahn, Hee-Wook;Wang, Hua O.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권4호
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    • pp.236-241
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    • 2007
  • This paper presents an adaptive controller using chaotic dynamic neural networks(CDNN) for nonlinear dynamic system. A new dynamic backpropagation learning method of the proposed chaotic dynamic neural networks is developed for efficient learning, and this learning method includes the convergence for improving the stability of chaotic neural networks. The proposed CDNN is applied to the system identification of chaotic system and the adaptive controller. The simulation results show good performances in the identification of Lorenz equation and the adaptive control of nonlinear system, since the CDNN has the fast learning characteristics and the robust adaptability to nonlinear dynamic system.

Modified Multi-Chaotic Systems that are Based on Pixel Shuffle for Image Encryption

  • Verma, Om Prakash;Nizam, Munazza;Ahmad, Musheer
    • Journal of Information Processing Systems
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    • 제9권2호
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    • pp.271-286
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    • 2013
  • Recently, a pixel-chaotic-shuffling (PCS) method has been proposed by Huang et al. for encrypting color images using multiple chaotic systems like the Henon, the Lorenz, the Chua, and the Rossler systems. All of which have great encryption performance. The authors claimed that their pixel-chaotic-shuffle (PCS) encryption method has high confidential security. However, the security analysis of the PCS method against the chosen-plaintext attack (CPA) and known-plaintext attack (KPA) performed by Solak et al. successfully breaks the PCS encryption scheme without knowing the secret key. In this paper we present an improved shuffling pattern for the plaintext image bits to make the cryptosystem proposed by Huang et al. resistant to chosen-plaintext attack and known-plaintext attack. The modifications in the existing PCS encryption method are proposed to improve its security performance against the potential attacks described above. The Number of Pixel Change Rate (NPCR), Unified Average Changed Intensity (UACI), information entropy, and correlation coefficient analysis are performed to evaluate the statistical performance of the modified PCS method. The simulation analysis reveals that the modified PCS method has better statistical features and is more resistant to attacks than Huang et al.'s PCS method.

UWB용 카오스 오실레이터의 설계 및 구현 (Design and Implementation of a Chaotic Oscillator for UWB)

  • 강상기
    • 한국정보통신학회논문지
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    • 제12권12호
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    • pp.2136-2139
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    • 2008
  • 카오스 발진기는 광대역의 신호를 발생시킬 수 있으며, 발진기의 출력 신호는 스위치를 사용해서 on/off 하더라도 스펙트럼 특성이 변하지 않는다. 통신시스템에서 카오스 발진기를 이용하면, 송수신기에서 국부발진기, 믹서 등의 사용이 필요없기 때문에 전력 소모도 적고 시스템이 간단해지는 장점이 있다. 본 논문에는 UWB 시스템용 카오스 발진기의 설계, 구현 및 시험 결과가 기술되어 있다. 본 논문에서 제작된 카오스 발진기의 출력은 3.4GHz의 중심주파수에서 500MHz의 채널대역폭에 -8.11dBm의 출력전력을 가지며, -10dB 대역폭은 약 470MHz 이었다.

퍼지 신경 회로망을 이용한 혼돈 비선형 시스템의 간접 적응 제어기 설계 (The Design of Indirect Adaptive Controller of Chaotic Nonlinear Systems using Fuzzy Neural Networks)

  • 류주훈;박진배최윤호
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.437-440
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    • 1998
  • In this paper, the design method of fuzzy neural network(FNN) controller using indirect adaptive control technique is presented for controlling chaotic nonlinear systems. Firstly, the fuzzy model identified with a FNN in off-line process. Secondly, the trained fuzzy model tunes adaptively the control rules of the FNN controller in on-line process. In order to evaluate the proposed control method, Indirect adaptive control method is applied to the representative continuous-time chaotic nonlinear systems, that is, the Duffing system and the Lorenz system. Simulations are done to verify the effectivencess of controller.

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카오스 시스템의 동기화를 위한 샘플치 데이터 제어 (Synchronization of Chaos Systems via Sampled-Data Control)

  • 이태희;박주현;권오민;이상문
    • 전기학회논문지
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    • 제61권4호
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    • pp.617-621
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    • 2012
  • This paper considers the synchronization problem of chaotic systems. For this problem, the sampled-data control approach is used to achieve asymptotic synchronization of two identical chaotic systems. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the sampled-data feedback controller which achieves the synchronization between chaotic systems. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.