Abstract

Nowadays, nonlinear control is a very important task because machines are playing an ever increasing role in life. Lyapunov's 2 rm nd method is a popular tool by the use of which various controllers can be designed like adaptive neural networks, fuzzy controllers, and neuro-fuzzy solutions, or the sliding mode controllers and the well-known PID feedback controllers. Robust Fixed Point Transformation is a procedure which can be built for almost any type of controller in case an approximate model is used to estimate the controlled system's behavior. In this paper, a new approach to Robust Fixed Point Transformations (RFPT) is introduced by integrating a second controller in the system. Authors show that this additional, ``recalculated'' controller not just improves the original controller's results, but halves the tracking errors achieved by the previous RFPT methods.

Keywords

MSC

34-H05, 34-H10, 49-J15, 49-K15, 58-E25, 62-F35, 70-Q05, 93-B52, 93-C10, 93C15, 93-C40

Cite this article

@article{cai-1322,
  author  = {Terez A. Varkonyi and Jozsef K. Tar and Imre J. Rudas},
  title   = {Robust Fixed Point Transformations-Based Control of Chaotic Systems},
  journal = {Computing and Informatics},
  volume  = {32},
  number  = {3},
  pages   = {487--507},
  year    = {2013},
  issn    = {1335-9150},
  url     = {https://cai.type.sk/content/2013/3/robust-fixed-point-transformations-based-control-of-chaotic-systems/}
}
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