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DOI: 10.14569/IJACSA.2013.040931
PDF

Limit Cycle Generation for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems

Author 1: Tatsuya Kai

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 4 Issue 9, 2013.

  • Abstract and Keywords
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Abstract: This paper considers a limit cycle control problem of a multi-modal and 2-dimensional piecewise affine control system. Limit cycle control means a controller design method to generate a limit cycle for given piecewise affine control systems. First, we deal with a limit cycle synthesis problem and derive a new solution of the problem. In addition, theoretical analysis on the rotational direction and the period of a limit cycle is shown. Next, the limit cycle control problem for piecewise affine control system is formulated. Then, we obtain matching conditions such that the piecewise affine control system with the state feedback law corresponds to the reference system which generates a desired limit cycle. Finally, in order to indicate the effectiveness of the new method, a numerical simulation is illustrated.

Keywords:

Tatsuya Kai, “Limit Cycle Generation for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems” International Journal of Advanced Computer Science and Applications(IJACSA), 4(9), 2013. http://dx.doi.org/10.14569/IJACSA.2013.040931

@article{Kai2013,
title = {Limit Cycle Generation for Multi-Modal and 2-Dimensional Piecewise Affine Control Systems},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2013.040931},
url = {http://dx.doi.org/10.14569/IJACSA.2013.040931},
year = {2013},
publisher = {The Science and Information Organization},
volume = {4},
number = {9},
author = {Tatsuya Kai}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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