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ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems
Abstract : Designing an interval observer with stability properties for nonlinear systems, which are not cooperative and not globally Lipschitz, is an open problem. This paper studies a general canonical structure for which interval observers with input to state stability (ISS) properties can be derived. This canonical block triangular nonlinear structure is rather general and may result from a change of coordinates or an output injection. We provide a general method for explicitly constructing framers for systems for which can be given such a structure. We also construct ISS interval observers when additional properties are satisfied. The systems we consider are in general not cooperative and not globally Lipschitz. We illustrate the constructions by designing a framer and an ISS interval observer for two models of bioreactors. Copyright © 2012 John Wiley & Sons, Ltd.
https://hal.inria.fr/hal-01088143
Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Thursday, November 27, 2014 - 2:41:07 PM
Last modification on : Friday, November 19, 2021 - 10:02:03 AM
Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Thursday, November 27, 2014 - 2:41:07 PM
Last modification on : Friday, November 19, 2021 - 10:02:03 AM
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