Abstract : For the first time, interval observers are constructed for discrete-time systems. First, time-invariant interval observers are proposed for a family of nonlinear systems. Second, it is shown that, for any time-invariant exponentially stable discrete-time linear system with additive disturbances, time-varying exponentially stable discrete-time interval observers can be constructed. The result relies on the design of time-varying changes of coordinates which transform a linear system into a nonnegative linear system.
https://hal.inria.fr/hal-00761600
Contributor : Frederic Mazenc
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Submitted on : Thursday, January 17, 2013 - 5:47:38 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
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Frederic Mazenc, Thach Dinh, Silviu-Iulian Niculescu. Interval Observers For Discrete-time Systems. 51th IEEE Conference on Decision and Control, Dec 2012, Maui, Hawaii, United States. ⟨hal-00761600⟩
