TitleStabilization of LTI Systems with Quantized State-Quantized Input Static Feedback
Publication TypeBook Chapter
Year of Publication2003
AuthorsPicasso, B, Bicchi, A
EditorPnueli, A, Maler, O
Book TitleHybrid Systems: Computation and Control
Series TitleLecture Notes in Computer Science
VolumeLNCS 2623
CityHeidelberg, Germany
KeywordsEmbedded Control, Robotics

This paper is concerned with the stabilization problem for discrete-time linear systems subject to a uniform quantization of the control set and to a regular state quantization, both fixed a priori. As it is well known, for quantized systems only weak (practical) stability properties can be achieved. Therefore, we focus on the existence and construction of quantized controllers (mapping a quantized state into a quantized input set) capable of steering a system to within invariant neighbourhoods of the equilibrium. Such analysis is helpful because it allows to decide a priori whether adesired control objective can be achieved by using a \textit{given} technology (actuators, sensors, communication and computational means).

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