On the Sampling and the Performance Comparison of Controlled LTI Systems

In this paper, the impact of the discretization techniques and the sampling time, on the finite-time stabilization of sampled-data controlled Linear Time Invariant (LTI) systems, is investigated. To stabilize the process in finite time, a discrete-time feedback dead-beat controller is designed for the sampled-data system. Checkable conditions on the approximate discrete-time plant model and the associated controller that guarantee the finite-time stabilization of the exact model are developed. The trade-off between the discretization technique, the sampling time and the desired performances is illustrated and discussed. Results are presented through a case study.

@article{FEKIH2018,
  title     = {On the Sampling and the Performance Comparison of Controlled LTI Systems},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {9},
  number    = {3},
  year      = {2018},
  publisher = {The Science and Information Organization},
  author    = {Sirine FEKIH and Boutheina SFAIHI and Mohamed BENREJEB},
  doi       = {10.14569/IJACSA.2018.090331},
  url       = {https://doi.org/10.14569/IJACSA.2018.090331}
}