Stabilizing Uncertain Systems with Quantization
نویسندگان
چکیده
We consider the problem of stabilizing uncertain systems with quantization. The plant uncertainty is dealt with by the supervisory adaptive 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 that guarantees closed loop stability. For a dynamic quantizer which can vary the quantization parameters in real time, we show that the closed loop is asymptotically stabilized provided that additional conditions on the quantization range and the quantization error bound is satisfied. This work extends previous results on stabilization of known systems with quantization to the case of uncertain systems.
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