Seminar Details
2010-09-28 (15.00) : A new framework for stability analysis of networked control systems
At Euler building
Organized by Mathematical Engineering
Speaker :
Ishido YUMIKO (Université de Kyoto)
Abstract :
Networked control systems are of current research vitality due to their pervasive presence in many engineering areas and the
technical challenges they present in the control system design and analysis. In particular, there still remain difficulties in analyzing
stability of a networked control system when it involve finite level quantization in its feedback loop. Typical examples of the cause of
quantization in networked control systems include data rate constraints at communication channels and simple sensors/actuators which
can output only finite kinds of signals.
While, in many nonlinear systems, the well-known Small Gain Theorem has been successfully applied to provide a framework for stability
analysis, this is often difficult or even impossible to apply to networked control systems involving finite level quantization for
establishing stability. Observing this problem, we introduce a novel framework for stability analysis of networked control systems
involving quantization based on a new notion of small l-p signal l-p stability. Two illustrative examples are given to show the
usefulness of this framework: (i) robust stabilization of an uncertain plant over a rate-limited control channel and
(ii) stability analysis of networked control system affected by the combined effect of packet-dropouts and finite level quantization.
In the end of this talk, we also shortly discuss the possible extension of this framework to multi-agent systems.