Utilization of analytic programming for the evolutionary synthesis of the robust multi-chaotic controller for selected sets of discrete chaotic systems

被引:6
|
作者
Senkerik, Roman [1 ]
Oplatkova, Zuzana Kominkova [1 ]
Zelinka, Ivan [2 ]
Chramcov, Bronislav [1 ]
Davendra, Donald D. [2 ]
Pluhacek, Michal [1 ]
机构
[1] Tomas Bata Univ Zlin, Fac Appl Informat, Zlin 76001, Czech Republic
[2] Tech Univ Ostrava, Fac Elect Engn & Comp Sci, Ostrava 70833, Czech Republic
关键词
Chaos control; Symbolic regression; Analytic programming; Differential evolution; SOMA; DIFFERENTIAL EVOLUTION; ALGORITHM; STABILIZATION; OPTIMIZATION; PERFORMANCE; SOMA; TASK;
D O I
10.1007/s00500-014-1220-1
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A novel tool for symbolic regression, analytical programming and its application for the synthesis of a new robust feedback control law are presented in this paper. This synthesized robust chaotic controller secures the fully stabilization of several selected sets containing one-dimensional, two-dimensional and evolutionary synthesized discrete chaotic systems. The paper consists of the descriptions of analytic programming as well as selected chaotic systems, used heuristic and cost function design. For experimentation, self-organizing migrating algorithm and differential evolution were used.
引用
收藏
页码:651 / 668
页数:18
相关论文
共 14 条
  • [1] Utilization of analytic programming for the evolutionary synthesis of the robust multi-chaotic controller for selected sets of discrete chaotic systems
    Roman Senkerik
    Zuzana Kominkova Oplatkova
    Ivan Zelinka
    Bronislav Chramcov
    Donald D. Davendra
    Michal Pluhacek
    Soft Computing, 2014, 18 : 651 - 668
  • [2] ANALYTIC PROGRAMMING IN THE TASK OF EVOLUTIONARY SYNTHESIS OF THE ROBUST CONTROLLER FOR SELECTED DISCRETE CHAOTIC SYSTEMS
    Senkerik, Roman
    Oplatkova, Zuzana Kominkova
    Zelinka, Ivan
    Pluhacek, Michal
    PROCEEDINGS 27TH EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2013, 2013, : 398 - +
  • [3] Utilization of Analytic Programming for Evolutionary Synthesis of the Robust Controller for Set of Chaotic Systems
    Senkerik, Roman
    Oplatkova, Zuzana Kominkova
    Zelinka, Ivan
    Pluhacek, Michal
    Advances in Intelligent Systems and Computing, 2013, 210 : 101 - 110
  • [4] Synthesis of feedback controller for three selected chaotic systems by means of evolutionary techniques: Analytic programming
    Senkerik, Roman
    Oplatkova, Zuzana
    Zelinka, Ivan
    Davendra, Donald
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (1-2) : 57 - 67
  • [5] Analytic programming in the task of evolutionary synthesis of a controller for high order oscillations stabilization of discrete chaotic systems
    Oplatkova, Zuzana Kominkova
    Senkerik, Roman
    Zelinka, Ivan
    Pluhacek, Michal
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (02) : 177 - 189
  • [6] Analytic programming—a new tool for synthesis of controller for discrete chaotic Lozi map
    Senkerik, R. (senkerik@fai.utb.cz), 1600, Springer Verlag (307):
  • [7] SYNTHESIS OF FEEDBACK CONTROLLER FOR CHAOTIC SYSTEMS BY MEANS OF EVOLUTIONARY TECHNIQUES
    Senkerik, Roman
    Oplatkova, Zuzana
    Zelinka, Ivan
    Davendra, Donald
    Jasek, Roman
    PROCEEDINGS OF THE FOURTH GLOBAL CONFERENCE ON POWER CONTROL AND OPTIMIZATION, 2011, 1337 : 273 - 279
  • [8] SYNTHESIS OF FEEDBACK CONTROLLER FOR STABILIZATION OF CHAOTIC HENON MAP OSCILLATIONS BY MEANS OF ANALYTIC PROGRAMMING
    Senkerik, Roman
    Oplatkova, Zuzana
    Zelinka, Ivan
    Davendra, Donald
    Jasek, Roman
    23RD EUROPEAN MODELING & SIMULATION SYMPOSIUM, EMSS 2011, 2011, : 593 - 598
  • [9] Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
    Senkerik, Roman
    Zelinka, Ivan
    Pluhacek, Michal
    Davendra, Donald
    Kominkova, Zuzana Oplatkova
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] Evolutionary Synthesis of Control Rules by Means of Analytic Programming for the Purpose of High Order Oscillations Stabilization of Evolutionary Synthesized Chaotic System
    Senkerik, Roman
    Oplatkova, Zuzana
    Zelinka, Ivan
    NOSTRADAMUS: MODERN METHODS OF PREDICTION, MODELING AND ANALYSIS OF NONLINEAR SYSTEMS, 2013, 192 : 191 - +