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Control design and robustness analysis of a ball and plate system by using polynomial chaos
(2014-12-10)
In this paper, we present a mathematical model of a ball and plate system, a control law and analyze its robustness properties by using the polynomial chaos method. The ball rolls without slipping. There is an auxiliary ...
Stick-slip chaos in a non-ideal self-excited system
(2003-12-01)
In engineering practical systems the excitation source is generally dependent on the system dynamic structure. In this paper we analyze a self-excited oscillating system due to dry friction which interacts with an energy ...
Chaos induced by turbulent and erratic functions
(2009-12-01)
Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be ...
Chaos induced by turbulent and erratic functions
(European Soc Fuzzy Logic & Technology, 2009-01-01)
Let ( X, d) be a compact metric space and f : X -> X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let (f) over bar : K(X) ...
Chaos suppression in NEMs resonators by using nonlinear control design
(2012-12-01)
In this work the chaotic behavior of a micro-mechanical resonator with electrostatic forces on both sides is suppressed. The aim is to control the system in an orbit of the analytical solution obtained by the Method of ...
CONTROL DESIGN AND ROBUSTNESS ANALYSIS OF A BALL AND PLATE SYSTEM BY USING POLYNOMIAL CHAOS
(Amer Inst Physics, 2014-01-01)
In this paper, we present a mathematical model of a ball and plate system, a control law and analyze its robustness properties by using the polynomial chaos method. The ball rolls without slipping. There is an auxiliary ...
Local dimension and finite time prediction in coupled map lattices
(2005-03-01)
Forecasting, for obvious reasons, often become the most important goal to be achieved. For spatially extended systems (e.g. atmospheric system) where the local nonlinearities lead to the most unpredictable chaotic evolution, ...
The Liapunov exponent as a tool for exploring phase space
(Kluwer Academic Publ, 1996-01-01)
We have used the Liapunov exponent to explore the phase space of a dynamical system. Considering the planar, circular restricted three-body problem for a mass ratio mu = 10(-3) (close to the Jupiter/Sun case), we have ...
Control Design Applied to a Micro Electro Mechanical System: MEMS Comb drive
(Trans Tech Publications Ltd, 2011-01-01)
This paper presents the linear optimal control technique for reducing the chaotic movement of the micro-electro-mechanical Comb Drive system to a small periodic orbit. We analyze the non-linear dynamics in a micro-electr ...
Chaotic thermalization in classical gauge theories
(2013-05-20)
We explore the idea that chaos concepts might be useful for understanding the thermalization in gauge theories. The SU(2) Higgs model is discussed as a prototype of system with gauge fields coupled to matter fields. Through ...