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Existence and boundedness of solutions of nonlinear non symmetric Riccati equations and their application in robust control

Abstract : This paper deals with nonlinear non symmetric Riccati equations which integrate a negative linear term involving a scalar gain. This type of equations is recurrent when dealing with computed torque schemes and may be used for other applications in control theory. We show that if the gain is beyond a given threshold (depending on the matrices involved in the system) then there exists a bounded solution over the whole positive times.
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Submitted on : Thursday, July 22, 2010 - 2:18:12 PM
Last modification on : Thursday, September 24, 2020 - 5:22:33 PM

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Hatem Elloumi, Marc Bordier, Nadia Maïzi. Existence and boundedness of solutions of nonlinear non symmetric Riccati equations and their application in robust control. 46th IEEE Conference on Decision and Control 2007, CDC, Dec 2007, New Orleans, United States. pp.3490-3494 - ISBN 978-1-4244-1497-0, ⟨10.1109/CDC.2007.4434435⟩. ⟨hal-00505053⟩

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