Dynamic Practical Stabilization of Sampled-data Linear Distributed Parameter Systems
Ying Tan, Emmanuel Trelat, Yacine Chitour, Dragan Nesic
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | IEEE | Published : 2009
In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to uniformly exponentially stabilize numerical approximate models that are obtained from space and time discretization. Sufficient conditions are provided to ensure that these controllers can be used to drive trajectories of infinite-dimensional sampled-data systems to a neighborhood of the origin by properly tuning the sampling period, space and time discretization parameters and choosing an appropriate filtering process for initial conditions. ©2009 IEEE.
Awarded by Australia Research Council under the Discovery Project
This research was supported by the Australia Research Council under the Discovery Project DP0664501