Hybrid stabilization of discrete-time LTI systems with two quantized signals
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 509.

Voir la notice de l'article dans European Digital Mathematics Library

We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system's stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where the values of the quantizer parameters are updated at discrete time instants. We also extend the result to the case of static output feedback.
Classification : 93C55, 93C57, 93D15
Mots-clés : hybrid stabilization strategy, discrete-time LTI system, output feedback, state feedback, quantizer 
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     author = {Guisheng Zhai and Yuuki Matsumoto and Xinkai Chen and Joe Imae and Tomoaki Kobayashi},
     title = {Hybrid stabilization of discrete-time {LTI} systems with two quantized signals},
     journal = {International Journal of Applied Mathematics and Computer Science},
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Guisheng Zhai; Yuuki Matsumoto; Xinkai Chen; Joe Imae; Tomoaki Kobayashi. Hybrid stabilization of discrete-time LTI systems with two quantized signals. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 509. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_4_207762/