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

Chakib Ben Njima, Walid Ben Mabrouk, Hassani Messaoud and Germain Garcia

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:964143

DOI: 10.1155/2014/964143

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