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Estymacja największego wykładnika Lapunowa w układach dynamicznych z nieciągłościami

100%

Kapitaniak T.

tom Vol. 19

262--263

Efficiency analysis of control algorithms in spatially distributed systems with chaotic behavior

84%

Korus Ł.

tom Vol. 24, no. 4

759--770

The paper presents results of examination of control algorithms for the purpose of controlling chaos in spatially distributed systems like the coupled map lattice (CML). The mathematical definition of the CML, stability analysis as well as some basic results of numerical simulation exposing complex, spatiotemporal and chaotic behavior of the CML were already presented in another paper. The main purpose of this article is to compare the efficiency of controlling chaos by simple classical algorithms in spatially distributed systems like CMLs. This comparison is made based on qualitative and quantitative evaluation methods proposed in the previous paper such as the indirect Lyapunov method, Lyapunov exponents and the net direction phase indicator. As a summary of this paper, some conclusions which can be useful for creating a more efficient algorithm of controlling chaos in spatially distributed systems are made.

Simple environment for developing methods of controlling chaos in spatially distributed systems

84%

Korus Ł.

tom Vol. 21, no 1

149-159

The paper presents a simple mathematical model called a coupled map lattice (CML). For some range of its parameters, this model generates complex, spatiotemporal behavior which seems to be chaotic. The main purpose of the paper is to provide results of stability analysis and compare them with those obtained from numerical simulation. The indirect Lyapunov method and Lyapunov exponents are used to examine the dependence on initial conditions. The net direction phase is introduced to measure the symmetry of the system state trajectory. In addition, a real system, which can be modeled by the CML, is presented. In general, this article describes basic elements of environment, which can be used for creating and examining methods of chaos controlling in systems with spatiotemporal dynamics.

Modeling and tracking control of wheeled mobile robots

67%

Giergiel J. , Trojnacki M. T.

tom Vol. 10, nr 1

74-81

The problem of tracking control of wheeled mobile robots (WMRs) using neural network is analyzed in this paper. The synthesis of control systems using the second Lapunov method was carried out. As a result of the synthesis, the stability of the designed systems was proven. A large number of computer simulations for these control systems using Matlab/Simulink package were executed. The results of the theoretical tests were verified by the rapid prototypical method. The rapid prototyping environment for the Pioneer robot was based on the Matlab/Simulink package and dSPACE board.