Quantized stabilization of two-input linear systems: A lower bound on the minimal quantization density

Nicola Elia, Emilio Frazzoli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

In this paper we derive a lower bound on the density of the coarsest quantizer that quadratically stabilizes a two-input linear discrete time system. This result describes how much improvement could be expected in terms of reduced quantization density by using two inputs instead of one to quadratically stabilize the system. A by-product result is that the optimal quantizer is radially logarithmic. This is a generalization of the logarithmic quantizer obtained in previous work.

Original languageEnglish (US)
Title of host publicationHybrid Systems
Subtitle of host publicationComputation and Control - 5th International Workshop, HSCC 2002, Proceedings
EditorsClaire J. Tomlin, Mark R. Greenstreet
PublisherSpringer Verlag
Pages179-193
Number of pages15
ISBN (Print)354043321X, 9783540433217
DOIs
StatePublished - Jan 1 2002
Externally publishedYes
Event5th International Workshop on Hybrid Systems: Computation and Control, HSCC 2002 - Stanford, United States
Duration: Mar 25 2002Mar 27 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2289
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other5th International Workshop on Hybrid Systems: Computation and Control, HSCC 2002
CountryUnited States
CityStanford
Period3/25/023/27/02

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