1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329)

27-29 Aug. 1997

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  • 1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329)

    Publication Year: 1997
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    Freely Available from IEEE
  • Index [of authors]

    Publication Year: 1997, Page(s):0_19 - 0_22
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    Freely Available from IEEE
  • Attractor-basin and bifurcation analysis in an impact system: chaotic uncontrolled versus controlled steady response

    Publication Year: 1997, Page(s):582 - 585 vol.3
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    Numerical simulations are performed aimed at checking the effectiveness of a previously developed theoretical procedure for control of transient chaos in reducing also the steady-state chaotic dynamics of an impact mechanical system. Attractor-basin phase portraits and bifurcation diagrams are built to show good agreement between the theoretical predictions and the actual response of the system. View full abstract»

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  • On describing systems with periodic behaviour in terms of simple nonlinear models

    Publication Year: 1997, Page(s):504 - 507 vol.3
    Cited by:  Papers (1)
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    Characteristic exponents assignment and harmonic balance techniques are exploited to derive simple nonlinear models approximating a class of nonlinear dynamical systems with sinusoidal input View full abstract»

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  • PI control of periodic oscillations of relay systems

    Publication Year: 1997, Page(s):469 - 473 vol.3
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (344 KB)

    In automatic control applications, the relay nonlinearity is used to describe a sensor or actuator behavior. Such nonlinearity combined with stabilizing feedback loops often leads to limit cycles for the closed loop system. We study the control of such limit cycles by use of a proportional+integral control law with the delayed output of a relay sensor View full abstract»

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  • Observer based control of chaos

    Publication Year: 1997, Page(s):594 - 597 vol.3
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (292 KB)

    We consider the control of forced chaotic oscillators. To obtain any desirable behavior, the system parameters are effectively modified using state feedback. The system states used in the feedback are estimated through a nonlinear observer. The application of the proposed method is illustrated for Duffing and Van der Pol oscillators View full abstract»

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  • Attractors of dynamical systems

    Publication Year: 1997, Page(s):498 - 503 vol.3
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (604 KB)

    The definition of an attractor of a dissipative dynamical system is introduced. Classification of existing types of attractors and analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulation using a number of real examples. It gives the possibility to understand easily the main properties, similarities and differences of the consid... View full abstract»

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  • On the detection of period doubling bifurcations in nonlinear feedback systems

    Publication Year: 1997, Page(s):465 - 468 vol.3
    Cited by:  Papers (1)
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    In this work the detection of period doubling bifurcations is obtained using a frequency domain approach. The original approach has been applied efficiently in approximating periodic solutions from Hopf bifurcations while in this paper the emphasis is in the prediction of the first period doubling sequence. An application using higher-order harmonic balance approximations (HBA) is shown for the il... View full abstract»

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  • Time-delay stabilization of the buck converter

    Publication Year: 1997, Page(s):590 - 593 vol.3
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (296 KB)

    Time-delay autosynchronization (TDAS) can be used to stabilize unstable periodic orbits in dynamical systems. The technique involves continuous feedback of signals delayed by the orbit's period so that the feedback signal vanishes on the target periodic orbit and hence the stabilized periodic orbit is a solution of the original dynamical system. Furthermore, this control method only requires the k... View full abstract»

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  • Structural turbulence in boundary value problems

    Publication Year: 1997, Page(s):492 - 497 vol.3
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    Consideration is given to certain boundary value problems for a PDE description of the turbulent processes in ideal media, specifically, in idealized electric circuits with distributive parameters. We describe properties of attractors of individual trajectories and of a global attractor for the infinite dimensional dynamical system induced by these problems. In particular, we evaluate their topolo... View full abstract»

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  • Rejection of bounded harmonic external disturbances with unknown frequencies and amplitudes

    Publication Year: 1997, Page(s):461 - 464 vol.3
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    For linear time-invariant multivariable systems the problem of rejection bounded harmonic external disturbances with unknown frequencies and amplitudes is formulated. Its solution is based on H suboptimal control by appropriate choice of weighting matrices View full abstract»

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  • Suppressing chaos in continuous systems by impulse control

    Publication Year: 1997, Page(s):578 - 581 vol.3
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (348 KB)

    The methods of nonconstant feedback impulse control of chaos are introduced. The approach is based on the similarity of the return maps of dissipative continuous-time systems with one dimensional maps. The methods are illustrated for the Chua's circuit (1992), Rossler oscillator, and phase-locked loop system View full abstract»

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  • Transition to chaos and basins of attraction in the impact oscillator

    Publication Year: 1997, Page(s):512 - 515 vol.3
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (436 KB)

    The impact oscillator is the simplest mechanical system with the strong nonlinearity, which is caused by a sudden change of stiffness during the contact of impacting bodies. When the time duration of the impact is assumed negligibly short, then the Newton elementary theory of impact can be used for the investigation of the system dynamics. The paper introduces a short review of results, explains t... View full abstract»

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  • Bifurcation analysis of low-order nonlinear control systems with delay

    Publication Year: 1997, Page(s):478 - 483 vol.3
    Cited by:  Papers (1)
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    Some well known results of bifurcation theory are applied in terms of classical frequency domain tools of control engineering. Attention is paid to delayed low-order systems with saturation nonlinearities. The analysis shows the effect of the delay in the parametric stability regions of the system View full abstract»

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  • Sliding-mode control of a chaotic pendulum: stabilization and targeting of an unstable periodic orbit

    Publication Year: 1997, Page(s):586 - 589 vol.3
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    Using linear methods, both a stabilizing and a targeting controller have to be designed to control a chaotic system on an unstable periodic orbit. In this paper, it is shown that by applying a sliding-mode controller stabilization and targeting of periodic orbits can be achieved simultaneously. Sliding-mode controllers are nonlinear controllers. Systems controlled by sliding-mode controllers exhib... View full abstract»

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  • Two-level high precision neural network

    Publication Year: 1997, Page(s):522 - 525 vol.3
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    A brief description of the CMAC neural network and the CMAC mapping algorithm is given. The influence of noise on the accuracy of plant identification is shown. It is proposed to use a hierarchical structure of the CMAC with two levels in order to provide it with the filtering property which allows one to eliminate the noise influence completely for a stationary case. Numerical results are present... View full abstract»

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  • Chaotic and stochastic processes: Markov modeling approach

    Publication Year: 1997, Page(s):488 - 491 vol.3
    Cited by:  Papers (2)
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    This paper focuses on a modeling approach being investigated for chaotic and stochastic dynamic systems. A novel approach of applying Markov chains to these systems is proposed. Equivalent transformation from the Markov model to a parametric model is also discussed View full abstract»

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  • Dynamic Green's function method applied to vibrations of piezoelectric shells

    Publication Year: 1997, Page(s):381 - 388 vol.3
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    In order to efficiently calculate thermoelastic deformations and also Green's functions Maysel's formula is a proper tool in many applications. It can be embedded within multiple field analyses when considering the isothermal background. By generalizing Maysel's formula, it becomes possible to include both the piezoelectric effects and inertia Either some or each of the layers of a composite shell... View full abstract»

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  • Neural algorithms of optimal and adaptive control of mechanical systems

    Publication Year: 1997, Page(s):532 - 535 vol.3
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    Methods and principles of optimal and adaptive control of mechanical systems are discussed, as well as principles of their neural implementation for optimal control in real time. Optimal programmed controllers, feedback controllers, adaptive controllers and programmers of optimal movements of nonlinear mechanical systems with reversible dynamics are synthesised. Methods of optimal and adaptive con... View full abstract»

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  • Simulation of a chain drive CVT as a mechatronic system

    Publication Year: 1997, Page(s):391 - 394 vol.3
    Cited by:  Papers (2)
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    This paper deals with the dynamics of a chain drive CVT (continuously variable transmission). To get realistic predictions about the system behaviour at the variation of the gear ratio and high dynamical loads, the models of all mechanical components including the hydraulics are presented. Particular attention is paid to the detailed description of the contacts of the chain and in the torque senso... View full abstract»

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  • Dynamic forms of equilibrium of a bar compressed by a dead force

    Publication Year: 1997, Page(s):399 - 402 vol.3
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    The report presents the stationary solutions of nonlinear equations of motion of a console beam compressed by a dead force View full abstract»

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  • Min-max control of uncertain chaotic systems

    Publication Year: 1997, Page(s):427 - 430 vol.3
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (316 KB)

    Chaotic systems subject to uncertainty are considered. The design of a controller for such systems is obtained as the solution of a min-max optimal control problem. Since the traditional stabilization of a target state (equilibrium) is not feasible, the objective becomes that of confining the system state within a prescribed neighbourhood of such a target state, irrespective of the uncertain varia... View full abstract»

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  • Controlling the uncertain Duffing oscillator

    Publication Year: 1997, Page(s):419 - 422 vol.3
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (276 KB)

    In this paper, an adaptive feedback controller is developed based on the Lyapunov stability theory for an uncertain chaotic Duffing oscillator where only an approximate range of the three key system parameters are known. The proposed method can be extended to handle some other uncertain chaotic dynamical systems with mild modifications View full abstract»

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  • Moment regulator for automotive engine oscillation damping

    Publication Year: 1997, Page(s):457 - 460 vol.3
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    We consider the problem of speed oscillation damping of automotive engine crankshaft. The source of oscillation is the pulsating engine torque that results from the fuel combustion in cylinders. In automotive engines the flywheel is used for reducing the oscillation of crankshaft speed. The idea of the active flywheel approach is to use to this end the reversible alternator (asynchronous induction... View full abstract»

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  • Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications

    Publication Year: 1997, Page(s):573 - 577 vol.3
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    The unique possibility of encoding information into symbol dynamics corresponding to a chaotic transmitter has been demonstrated by Hayes and Grebogi (1993, 1994) and the authors (1997). To take advantage of sensitive dependence by using only small deliberate parameter perturbations requires that we respect the grammar of the symbol dynamics which represents the physical dynamical system. We prese... View full abstract»

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