17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper TuP08.3

Fagnani, Fabio (Pol. di Torino), Picasso, Bruno (Univ. di Pisa and Pol. di Milano)

Stabilization of Linear Stochastic Systems under Static Quantized Control: Complexity vs Performance

Scheduled for presentation during the Mini-Symposium "Networked control: Rate constraints and quantization effects" (TuP08), Tuesday, July 25, 2006, 16:10−16:35, Room I

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Keywords Quantization, Stability of stochastic systems, Networked control

Abstract

This work deals with the control of a scalar stochastic linear system when the control loop is closed over a finite rate communication channel. Specifically, we are interested in the analysis of the dynamics of probability distributions in the presence of a memoryless quantizer. With regard to the stabilization problem, three parameters are introduced to measure the transient and steady state performance of the system and the complexity of the quantizer. The dynamics is then analyzed in terms of these parameters and the mutual dependence between performance and complexity is studied.