منابع مشابه
Controlling Maps Using an Ogy Multiparameter Chaos Control Method
Chaos is a kind of nonlinear system response that has a dense set of unstable periodic orbits (UPOs) embedded in a chaotic attractor. The idea of the chaos control is to explore the UPO stabilization obtaining dynamical systems that may quickly react to some new situation, changing conditions and their response. The OGY (Ott-GrebogiYorke) method achieves system stabilization by using small pert...
متن کاملThe Forced Damped Pendulum : Chaos , Complication and Control
This paper will show that a “simple” differential equation modeling a garden-variety damped forced pendulum can exhibit extraordinarily complicated and unstable behavior. While instability and control might at first glance appear contradictory, we can use the pendulum’s instability to control it. Such results are vital in robotics: the forced pendulum is a basic subsystem of any robot. Most of ...
متن کاملMultiple transitions to chaos in a damped parametrically forced pendulum.
We study bifurcations associated with stability of the lowest stationary point (SP) of a damped parametrically forced pendulum by varying ω0 (the natural frequency of the pendulum) and A (the amplitude of the external driving force). As A is increased, the SP will restabilize after its instability, destabilize again, and so ad infinitum for any given ω0. Its destabilizations (restabilizations) ...
متن کاملChaos Control of an Impact Mechanical Oscillator Based on the OGY Method
This chapter deals with the control of chaos exhibited in the behavior of a one-degree-of-freedom impact mechanical oscillator with a single rigid constraint. The mathematical model of such impact oscillator is represented by an impulsive hybrid linear non-autonomous dynamics. The proposed control approach is based chiefly on the OGY method. First, an analytical expression of a constrained cont...
متن کاملControlling the Inverted Pendulum
The strategies involved in swinging up and balancing the inverted pendulum are discussed. The nonlinear swing-up controller drives the system input according to the energy of the pendulum. The balancing controller is a digital linear quadratic regulator that is based on a model of the plant that has been linearized about the pendulum’s upright equilibrium position. Relays with hysteresis are em...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Institute of Systems, Control and Information Engineers
سال: 1997
ISSN: 1342-5668,2185-811X
DOI: 10.5687/iscie.10.53