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CDC
2008
IEEE

Stabilizing uncertain systems with dynamic quantization

13 years 10 months ago
Stabilizing uncertain systems with dynamic quantization
—We consider state feedback stabilization of uncertain linear systems with quantization. The plant uncertainty is dealt with by the supervisory control framework, which employs switching among a finite family of candidate controllers. For a static quantizer, we quantify a relationship between the quantization range and the quantization error bound to guarantees closed loop stability. Using a dynamic quantizer which can vary the quantization parameters in real time, we show that the closed loop can be asymptotically stabilized, provided that additional conditions on the quantization range and the quantization error bound are satisfied. Our results extend previous results on stabilization of known systems with quantization to the case of uncertain systems.
Linh Vu, Daniel Liberzon
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Linh Vu, Daniel Liberzon
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