Stability of Discrete-time Control Systems with Uniform and Logarithmic Quantizers

May 16, 2017
Versione stampabile

Venue: Seminar room, Department of Industrial Engineering - via Sommarive 9, Povo - Trento, h: 11:00

  • Sophie Tarbouriech, CNRS, LAAS, Toulouse, France

Abstract

The talk deals with stability analysis of discrete-time linear systems involving finite quantizers on the input of the controlled plant. Two kinds of quantization are analyzed: uniform and logarithmic. Through LMI-based conditions, an attractor of the state trajectories and a set of admissible initial conditions are determined. A method is proposed to compare the performances of the two kinds of quantization in terms of the dimensions of the attractor, considering a scenario of Networked Control Systems (NCS). Computational issues are discussed and a numerical example is presented to validate the work.

 

Biography

Sophie Tarbouriech received the PhD degree in Control Theory in 1991 and the HDR degree (Habilitation à Diriger des Recherches) in 1998 from University Paul Sabatier, Toulouse, France. Currently, she is full-time researcher (Directeur de Recherche) in LAAS-CNRS, Toulouse. Her main research interests include analysis and control of linear and nonlinear systems with constraints (limited information), hybrid dynamical systems. She is currently Associate Editor for IEEE Transactions on Automatic Control, IEEE Transactions on Control Systems Technology, Automatica and European Journal of Control. She is also in the Editorial Board of International Journal of Robust and Nonlinear Control. She is also co-Editor-in-Chief of the French journal JESA (Journal Europ ́een des Syst`emes Automatis ́es). Since January 2017, she is Senior Editor of the journal IEEE Control Systems Letters. Since 1999, she is Associate Editor at the Conference Editorial Board of the IEEE Control Systems Society. She is a member of the IFAC Technical Committees on Robust Control and Nonlinear Systems. She is also member of the IEEE Technical Committee on Hybrid Systems.