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

Abstract EN

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.