Period-doubling routes to chaos in dc/dc converters operating in discontinuous mode have been reported in Reference 1 for the boost-type converter, and in Reference 2 for the buck-type converter. The chaotic behaviour associated with such systems is due to the presence of the feedback controller since these systems are open-loop stable.3 Thus, the choice of the feedback control function is very...

Chaotic systems are highly susceptible to control by using small perturbations to a system constraint. Feedback methods have been applied to taming chaos in magnetoelastic and hydrodynamic systems, electric circuits, lasers, chemical reactions, and tissues of heart and brain in vitro.1 The well-known Ott-Grebogi-Yorke (OGY) algorithm2 and its variations are based on the notion that for controll...

This paper considers the model predictive control of dynamic systems subject to stochastic uncertainties due to parametric uncertainties and exogenous disturbance. The effects of uncertainties are quantified using generalised polynomial chaos expansions with an additive Gaussian random process as the exogenous disturbance. With Gaussian approximation of the resulting solution trajectory of a st...

The dynamics of a non-linear electrostatic transducer with two outputs is studied. The amplitudes and stability conditions of oscillations for the Triple Resonant States are obtained and discussed. It is found that chaos can appear in the system. A retroactive control strategy is therefore applied to tune these chaotic oscillations to regular target orbits. The stability analysis of the feedbac...

This work presents two simple and robust techniques based on time delay estimation for the respective control and synchronization of chaos systems. First, one of these techniques is applied to the control of a chaotic Lorenz system with both matched and mis-matched uncertainties. The nonlinearities in the Lorenz system is cancelled by time delay estimation and desired error dynamics is inserted...

The seminal papers by Pecora and Carrol (PC) [1] and Ott, Grebogi and Yorke (OGY) [2] in 1990 have induced avalanche of research works in the field of chaos control. Chaos synchronization in dynamical systems is one of methods of controling chaos, see, e.g. [1-8] and references therein.The interest to chaos synchronization in part is due to the application of this phenomenen in secure communica...

Mechanical systems operate under parametric and external excitation uncertainties. The polynomial chaos approach has been shown to be more efficient than Monte Carlo approaches for quantifying the effects of such uncertainties on the system response. This work uses the polynomial chaos framework to develop new methodologies for the simulation, parameter estimation, and control of mechanical sys...

Over the past decade, the problem of chaos controlling in plasmas attracted significant attention due to the importance of this topic for many processes in plasma physics [1-3]. In addition to the general interest of this subject the studies were motivated by the possibility of reduction of the anomalous transport, associated with plasma turbulent phenomena. It is well known that almost all sys...

A linear homogeneous scalar diierential{diierence equation with harmonic time dependence is investigated. The associated eigenvalue problem is solved in terms of a continued fraction expansion for the characteristic equation. The dependence of the largest eigenvalue on the system parameters, being relevant for stability of periodic states in delay systems, is discussed in detail. The competitio...

In this work we consider two models of two dimensional discrete systems subjected to three different types of coupling and analyse systematically the performance of each in realising synchronised states. We find that linear coupling effectively introduce control of chaos along with synchronisation, while synchronised chaotic states are possible with an additive parametric coupling scheme both b...