Research on two different mathematical theories on control

  • Authors:

  • Qing-E Wu;Tuo Wang;Xue-Min Pang;Yong-Xuan Huang;Ji-Sheng Li

  • Affiliations:

  • School of Electronic and Information Engineering, Xi'an Jiao Tong University, Xi'an, Shaanxi, 710049, PR China;School of Electronic and Information Engineering, Xi'an Jiao Tong University, Xi'an, Shaanxi, 710049, PR China;Institute of Science, Information Engineering University, Zhengzhou, 450001, PR China;School of Electronic and Information Engineering, Xi'an Jiao Tong University, Xi'an, Shaanxi, 710049, PR China;School of Electronic and Information Engineering, Xi'an Jiao Tong University, Xi'an, Shaanxi, 710049, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

With a brand-new theory, this paper not only provides the differences of attributes in concept, formula expression and function type between fuzzy rough sets and probability statistics, but also introduces their differences in algorithms on target control for better solving the control problem. Some new definitions and theorems concerning fuzzy rough sets and probability statistics are given, but this paper mainly makes a comparison of two control algorithms for the target tracking. The simulation results show that the comprehensive performance of the fuzzy rough sets algorithm is better than that of the probability statistics algorithm, but its control effect is not as good as that of the latter on multisensor target control. Finally, some problems concerning the combination of fuzzy rough sets and the probability statistics phenomenon to be solved and development trends are discussed. By these investigations, we can choose the optimal control algorithms for accomplishing better target control.