By Topic

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

27-29 Aug. 1997

Go

Filter Results

Displaying Results 1 - 25 of 53
  • 1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329)

    Publication Year: 1997
    Request permission for commercial reuse | PDF file iconPDF (962 KB)
    Freely Available from IEEE
  • Index [of authors]

    Publication Year: 1997, Page(s):0_19 - 0_22
    Request permission for commercial reuse | PDF file iconPDF (229 KB)
    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
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (566 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Dynamic Green's function method applied to vibrations of piezoelectric shells

    Publication Year: 1997, Page(s):381 - 388 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (844 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (472 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Amortization of oscillating systems by optimal control methods

    Publication Year: 1997, Page(s):431 - 434 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (240 KB)

    An amortization problem for control systems acting in the presence of disturbances is considered. To construct the bounded stabilizing feedback of special type an accompanying optimal control problem is introduced. For this problem the optimal disclosable program-positional feedback is constructed which possesses stabilizing properties under disturbances. An algorithm for the stabilizer is describ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Control of exits from a safe region: a stochastic Melnikov approach

    Publication Year: 1997, Page(s):569 - 572 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB)

    For a wide class of stochastically excited multistable systems the Melnikov necessary condition for chaos contains information on the effectiveness of the various frequency components of the excitation in inducing exits from a potential well. This information can be used to develop an open-loop control procedure aimed at reducing the system's exit rate. The Melnikov approach is based on a first-or... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Neural algorithms of optimal and adaptive control of mechanical systems

    Publication Year: 1997, Page(s):532 - 535 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (416 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Investigations of bifurcation memory effects in behaviour of nonlinear controlled systems

    Publication Year: 1997, Page(s):474 - 477 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB)

    We consider nonlinear systems, whose number of possible stationary modes vary throughout the process of their controllable motion. The considered effects, instability stabilization in particular, may also reveal themselves in behaviour of nonlinear systems of other classes. Quite a similar result has been obtained for the basic model described by the Duffing equation with symmetrical driving force... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Controlling oscillation by noncritical eigenvalue assignment

    Publication Year: 1997, Page(s):565 - 568 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (216 KB)

    Linear feedback stabilization of nonlinear systems in critical cases (NSICC) is studied in this paper. The noncritical eigenvalues are assumed completely controllable. The stability and linear feedback stabilizability are attacked by means of center manifold method and Lyapunov stability analysis. The construction of linear feedback stabilizing law is given on the basis of noncritical eigenvalue a... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • A control engineering approach to the control and synchronization of chaos using the MCS algorithm

    Publication Year: 1997, Page(s):423 - 426 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (312 KB)

    This paper is concerned with the problem of controlling and synchronizing chaotic systems through an appropriately synthesized adaptive strategy, namely the minimal control synthesis (MCS) algorithm is used to solve the stated problem. First, a traditional control strategy is used, which does not rely on any explicit property of chaotic systems, except for the boundedness of chaotic evolution. Nex... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Solving optimization problems by system adjoint operator simulation

    Publication Year: 1997, Page(s):553 - 556 vol.3
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB)

    The paper considers an alternative approach to the solution of optimization problems when a mathematical plant model is not required. The proposed approach uses the concept of system adjoint operator. Simulation of adjoint system response is executed by special experiments with the real plant View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • The nonlinear process control with internal model and multilayer neural

    Publication Year: 1997, Page(s):526 - 531 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (228 KB)

    When the method for the calculation of the command law does not exist, it is advantageous to use control structures which are implemented with neural networks. This paper deals with the following aspects: 1) the internal model control with emphasises on the performance of the controlled system regarding the input signal and the perturbation; and 2) the controlling system behaviour at the process p... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the efficient computation of Lyapunov exponents

    Publication Year: 1997, Page(s):484 - 487 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    An efficient and numerically stable method to determine all the Lyapunov characteristic exponents of a discrete dynamical system is presented. The method is compared with known methods in terms of efficiency, and the accuracy and stability of the methods are tested by numerical experiments View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Low voltage circuit design techniques for voltage controlled oscillator

    Publication Year: 1997, Page(s):561 - 564 vol.3
    Cited by:  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    This paper discusses some high frequency circuit design techniques for low voltage operation and low power consumption voltage controlled oscillators. The target operating voltage is 2 V (power supplied by only two pieces of rechargeable NiCd battery). Various resonators and circuit configurations were studied for optimal performance. A major difficulty was found in achieving high spectral purity ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the stability of delayed feedback control of chaos

    Publication Year: 1997, Page(s):411 - 414 vol.3
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    Limitations in controlling chaos in continuous dynamical systems by delayed feedback are proved. The results are as follows: (1) If the linear variational equation about a hyperbolic unstable periodic orbit (UPO) has an odd number of real characteristic multipliers which are greater than unity, the UPO can never be stabilized with any value of feedback gain. (2) If all the characteristic exponents... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Adaptive control of unstable systems based on Kautz expanded inverse model

    Publication Year: 1997, Page(s):549 - 552 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    In this work a method for discrete-time indirect adaptive control of linear unstable minimum phase systems using plant inverse modeling is presented. The resulting adaptive algorithm is proved to be asymptotic stabilizing. The main advantage of the method is that the adaptive control start-up phase does not require any main prior plant knowledge other than their Schur stability. The method can rea... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Nonlinear chaotic and periodic vibrations in the internal combustion engine

    Publication Year: 1997, Page(s):403 - 406 vol.3
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB)

    It is considered a problem of the nonlinear chaotic oscillation in internal combustion engine with presence of backlashes in the connection between the gearwheels. It is determined that correlation is present between the intensity of nonlinear chaotic and nonlinear periodic oscillations in an engine. The solution for periodic oscillations is found with iterative method, where a linear problem (wit... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Two-level high precision neural network

    Publication Year: 1997, Page(s):522 - 525 vol.3
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the detection of period doubling bifurcations in nonlinear feedback systems

    Publication Year: 1997, Page(s):465 - 468 vol.3
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (292 KB)

    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.