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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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:964143
DOI: 10.1155/2014/964143
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