• Title/Summary/Keyword: Chaos System

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Stable Predictive Control of Chaotic Systems Using Self-Recurrent Wavelet Neural Network

  • Yoo Sung Jin;Park Jin Bae;Choi Yoon Ho
    • International Journal of Control, Automation, and Systems
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    • v.3 no.1
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    • pp.43-55
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    • 2005
  • In this paper, a predictive control method using self-recurrent wavelet neural network (SRWNN) is proposed for chaotic systems. Since the SRWNN has a self-recurrent mother wavelet layer, it can well attract the complex nonlinear system though the SRWNN has less mother wavelet nodes than the wavelet neural network (WNN). Thus, the SRWNN is used as a model predictor for predicting the dynamic property of chaotic systems. The gradient descent method with the adaptive learning rates is applied to train the parameters of the SRWNN based predictor and controller. The adaptive learning rates are derived from the discrete Lyapunov stability theorem, which are used to guarantee the convergence of the predictive controller. Finally, the chaotic systems are provided to demonstrate the effectiveness of the proposed control strategy.

A Study on Obstacle Avoid Method and Synchronization of multi chaotic robot for Robot Formation Control based on Chaotic Theory (카오스 이론에 기반한 포메이션 제어를 위한 다중 카오스 로봇의 장해물 회피 및 동기화에 관한 연구)

  • Bae, Young-Chul;Park, Jong-Kyu
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.5
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    • pp.534-540
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    • 2010
  • In this paper, we propose the mathematical algorithm for collision avoidance between the robots and for the obstacle avoidance during the operation of the several chaotic robotics. For the useful formation control and as one of the method to provide command structure of communication between the robots, we also propose the synchronization method between the robotic system and confirmed the result with the computer simulation.

Secure Communication using N-double scroll in Hyperchaos circuit. (N-double scroll을 이용한 하이퍼카오스 회로에서의 카오스 동기화)

  • 배영철;김주완
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2001.10a
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    • pp.705-708
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    • 2001
  • Nowadays there are being done many researches on chaos phenomenon among many kinds of people. Currently, already many applications has been developed, and they applied this phenomenon to engineering problem. now we have tried to make it possible to use secure communication through hyperchaotic synchronization system using 1-dimensional CNN(Cellular Neural Network). we focused on materializing secure communication.

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Electric Arc furnaces: Chaotic Load Models and Transient Analysis

  • Jang, Gil-Soo;Venkata, S.S.;Kwon, Sae-Hyuk
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.923-925
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    • 1998
  • Electric arc furnaces (EAFs) are a main cause of voltage flicker due to the interaction of the high demand currents of the load with the supply system impedance. The stochastic models have described the physical phenomena of EAFs. An alternative approach is to include deterministic chaos in the characterization of the arc currents. In this paper, a chaotic approach to such modeling is described and justified. At the same time, a DLL (Dynamic Link Library) module, which is a FORTRAN interface with TACS (Transient Analysis of Control Systems), is developed to implement the chaotic load model in the Electromagnetic Transients Program (EMTP). The details of the module and the results of tests performed on the module to verify the model and to illustrate its capabilities are presented in this paper.

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Radial Basis Function Network Based Predictive Control of Chaotic Nonlinear Systems

  • Choi, Yoon-Ho;Kim, Se-Min
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.606-613
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    • 2003
  • As a technical method for controlling chaotic dynamics, this paper presents a predictive control for chaotic systems based on radial basis function networks(RBFNs). To control the chaotic systems, we employ an on-line identification unit and a nonlinear feedback controller, where the RBFN identifier is based on a suitable NARMA real-time modeling method and the controller is predictive control scheme. In our design method, the identifier and controller are most conveniently implemented using a gradient-descent procedure that represents a generalization of the least mean square(LMS) algorithm. Also, we introduce a projection matrix to determine the control input, which decreases the control performance function very rapidly. And the effectiveness and feasibility of the proposed control method is demonstrated with application to the continuous-time and discrete-time chaotic nonlinear system.

Wavelet Neural Network Based Indirect Adaptive Control of Chaotic Nonlinear Systems

  • Choi, Yoon-Ho;Choi, Jong-Tae;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.1
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    • pp.118-124
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    • 2004
  • In this paper, we present a indirect adaptive control method using a wavelet neural network (WNN) for the control of chaotic nonlinear systems without precise mathematical models. The proposed indirect adaptive control method includes the off-line identification and on-line control procedure for chaotic nonlinear systems. In the off-line identification procedure, the WNN based identification model identifies the chaotic nonlinear system by using the serial-parallel identification structure and is trained by the gradient-descent method. And, in the on-line control procedure, a WNN controller is designed by using the off-line identification model and is trained by the error back-propagation algorithm. Finally, the effectiveness and feasibility of the proposed control method is demonstrated with applications to the chaotic nonlinear systems.

Control of chaotic dynamics by magnetorheological damping of a pendulum vibration absorber

  • Kecik, Krzysztof
    • Structural Engineering and Mechanics
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    • v.51 no.5
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    • pp.743-754
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    • 2014
  • Investigations of regular and chaotic vibrations of the autoparametric pendulum absorber suspended on a nonlinear coil spring and a magnetorheological damper are presented in the paper. Application of a semi-active damper allows controlling the dangerous motion without stooping of system and additionally gives new possibilities for designers. The investigations are curried out close to the main parametric resonance. Obtained numerical and experimental results show that the semi-active suspension may reduce dangerous motion and it also allows to maintain the pendulum at a given attractor or to jump to another one. Moreover, the results show that, for some parameters, MR damping may transit to chaotic motions.

A Study on the Relationship of Post-Modern Design and Medieval Aesthetics - Focus on the Historicity of the Hybrid Aesthetics - (포스트모던 디자인과 중세 미학의 관계 연구 - 혼성 미학의 역사성을 중심으로 -)

  • 김은지;이정욱
    • Korean Institute of Interior Design Journal
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    • no.39
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    • pp.3-11
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    • 2003
  • The attempt to find the origin of Post-modern aesthetics from the Middle Ages is easy to perceive the thinking system of contemporary design. The Middle Ages showed that things and God's relation were symbolized all things were connected with analogical ideas as mysticism(alchemy, gnosticism), and God's world was represented with the metaphor. While the hybrid style of Post-modern architecture expressed that the rationalism was opposed to Ideology, partly, the idea of irrational with mysterious, also unscientific with analogical discourse . And the Symbolism of Post-Modern Design is means of popular Communication. Exactly, the common feature of ideology with pre-rationalism and anti-rationalism are against the dominated ideology in present. In conclusion, the relation of significancy effect In Chaos and In composition can be considered inspirational source historically.

A Study on Chaos Control of a Chua' Oscillator Circuit Using a Lyapunov function (리아프노프 함수를 이용한 Chua 오실레이터 회로에서의 카오스 제어)

  • 배영철;고재호;유창환;홍대승;임화영
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.1
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    • pp.113-120
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    • 1999
  • In this paper, chaotic signals of a Chua's oscillator are effectively controlled to low periodic signal(1-periodic signal, 2-periodic signal, etc) or equilibrium point using the linear state feedback technique. The proposed linear state feedback technique has characteristics, that any solution of the Chua's oscillator can be a goal of the control(fixed point, periodic orbit, etc). The controller has a very simple structure, which does not require adjusting system parameters.

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Fuzzy Neural Network Based Generalized Predictive Control of Chaotic Nonlinear Systems (혼돈 비선형 시스템의 퍼지 신경 회로망 기반 일반형 예측 제어)

  • Park, Jong-Tae;Park, Yoon-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.2
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    • pp.65-75
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    • 2004
  • This paper presents a generalized predictive control method based on a fuzzy neural network(FNN) model, which uses the on-line multi-step prediction, fur the intelligent control of chaotic nonlinear systems whose mathematical models are unknown. In our design method, the parameters of both predictor and controller are tuned by a simple gradient descent scheme, and the weight parameters of FNN are determined adaptively during the operation of the system. In order to design a generalized predictive controller effectively, this paper describes computing procedure for each of the two important parameters. Also, we introduce a projection matrix to determine the control input, which deceases the control performance function very rapidly. Finally, in order to evaluate the performance of our controller, the proposed method is applied to the Doffing and Henon systems, which are two representative continuous-time and discrete-time chaotic nonlinear systems, res reactively.