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Finite Time Stabilization of the Four Tanks System: Extensions to the Uncertain Systems

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  • Chakib Ben Njima
  • Walid Ben Mabrouk
  • Hassani Messaoud
  • Germain Garcia

Abstract

We consider the finite time stability and stabilization of linear systems described in continuous time. First, we provide a condition for the stability over time using the state transition matrix standard. Then we give conditions to design a state feedback control that stabilizes the system over time. In some cases where there is uncertainty in the system model, the previous conditions are extended to a certain class of uncertain systems. The considered uncertainties are the polytopic and norm bounded ones. To reveal the proposed approach, an application to the four tanks system was made.

Suggested Citation

  • Chakib Ben Njima & Walid Ben Mabrouk & Hassani Messaoud & Germain Garcia, 2014. "Finite Time Stabilization of the Four Tanks System: Extensions to the Uncertain Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    • Handle: RePEc:hin:jnlaaa:964143
    DOI: 10.1155/2014/964143
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