 |
Conference papers
Exponential Stability Analysis of Sampled-data ODE-PDE Systems and Application to Observer Design
Abstract : A small-gain approach is presented for analyzing exponential stability of a class of (dynamical) hybrid systems. The systems considered in the paper are composed of finite-dimensional dynamics, represented by a linear Ordinary Differential Equation (ODE), and infinite-dimensional dynamics described by a parabolic Partial Differential Equation (PDE). Exponential stability is established under conditions involving the maximum allowable sampling period (MASP). This new stability result is shown to be useful in the design of sampled-output exponentially convergent observers for linear systems that are described by an ODE-PDE cascade. The new stability result also proves to be useful in designing practical approximate observers involving no PDEs. Index Terms-ODE-PDE cascade systems, sampled-data systems, observer design, backstepping approach, exponentially convergent observers.
Cited literature [14 references]
https://hal-centralesupelec.archives-ouvertes.fr/hal-01313774
Contributor : Myriam Baverel <>
Submitted on : Monday, July 13, 2020 - 4:52:35 PM
Last modification on : Thursday, September 17, 2020 - 3:06:36 AM
Long-term archiving on: : Monday, November 30, 2020 - 10:08:41 PM
Contributor : Myriam Baverel <>
Submitted on : Monday, July 13, 2020 - 4:52:35 PM
Last modification on : Thursday, September 17, 2020 - 3:06:36 AM
Long-term archiving on: : Monday, November 30, 2020 - 10:08:41 PM
File
Exponential_Stability_Analysis...
Files produced by the author(s)