Evolutionary Synthesis Of Control Law For Higher Periodic Orbits Of Chaotic Logistic Equation

نویسندگان

  • Roman Senkerik
  • Zuzana Komínková Oplatková
  • Ivan Zelinka
  • Roman Jasek
چکیده

This research deals with a synthesis of control law for selected discrete chaotic system by means of analytic programming. The novelty of the approach is that a tool for symbolic regression – analytic programming is used for the purpose of stabilization of higher periodic orbits – oscillations between several values of chaotic system. The paper consists of the descriptions of analytic programming as well as chaotic system and used blackbox type cost function. For experimentation, Self-Organizing Migrating Algorithm (SOMA) with analytic programming and Differential evolution (DE) as second algorithm for meta-evolution were used.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Investigation on Evolutionary Chaos Controller Synthesis for Hénon Map Stabilization

This research deals with the synthesis of control law by means of Analytic Programming (AP) for the Hénon Map, which is discrete chaotic system. The tool for symbolic regression (AP) is used for the purpose of stabilization of stable state and higher periodic orbits, which represent oscillations between several values of chaotic system. For experimentation, Self-Organizing Migrating Algorithm (...

متن کامل

Investigation and Control of Unstable Chaotic Behavior Using of Chaos Theory in Two Electrical Power Systems: 1-Buck Converter2- Power Transformer

This paper consist of two sections: control and stabilizing approach for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonic caused by the chaotic behaviour in current converter. For this work, a Time- Delayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mo...

متن کامل

Stabilization of chaotic systems via fuzzy time-delayed controller approac

In this paper, we investigate the stabilization of unstable periodic orbits of continuous time chaotic systems usingfuzzy time-delayed controllers. For this aim, we present a control method that can achieve stabilization of an unstableperiodic orbit (UPO) without any knowledge of the system model. Our proposal is attained progressively. First, wecombine the input-to-state linearizing controller...

متن کامل

Detecting unstable periodic orbits from transient chaotic time series

We address the detection of unstable periodic orbits from experimentally measured transient chaotic time series. In particular, we examine recurrence times of trajectories in the vector space reconstructed from an ensemble of such time series. Numerical experiments demonstrate that this strategy can yield periodic orbits of low periods even when noise is present. We analyze the probability of f...

متن کامل

Evolutionary Chaos Controller Synthesis for Stabilizing Chaotic Hénon Maps

This paper deals with synthesizing control laws by means of analytic programming (AP) for the Hénon map, which is a discrete chaotic system. The tool for symbolic regression is used for stabilizing the stable state and higher periodic orbits, which represent oscillations between several values of a chaotic system. For experimentation, the self-organizing migrating algorithm (SOMA) is used with ...

متن کامل

ذخیره در منابع من

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011