Stability analysis of finite-level quantized linear control systems

In this paper we investigate the stability of discrete-time linear time-invariant systems subject to finite-level logarithmic quantized feedback. Both state feedback and output feedback are considered. We develop an LMI approach to estimate, for a given controller and a given finite-level quantizer,...

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Bibliographic Details
Published inECC : 2009 European Control Conference : 23-26 August 2009 pp. 79 - 84
Main Authors de Souza, Carlos E., Coutinho, Daniel F., Minyue Fu
Format Conference Proceeding Journal Article
LanguageEnglish
Published IEEE 01.08.2009
Subjects
Bismuth
Control systems
Counters
Decision support systems
Density estimation robust algorithm
Estimates
Europe
Linear control
Mathematical analysis
Niobium
Origins
Output feedback
Stability analysis
State feedback
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ISBN9783952417393
3952417394
DOI10.23919/ECC.2009.7074383

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Summary:In this paper we investigate the stability of discrete-time linear time-invariant systems subject to finite-level logarithmic quantized feedback. Both state feedback and output feedback are considered. We develop an LMI approach to estimate, for a given controller and a given finite-level quantizer, a set of admissible initial states and an associated attractor set in a neighborhood of the origin such that all state trajectories starting in the first set will converge to the attractor in a finite time and will never leave it. Furthermore, when these two such sets are a priori specified, we develop sufficient conditions for designing a suitable state or output feedback controller, along with a finite-level logarithmic quantizer.
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ISBN:9783952417393
3952417394
DOI:10.23919/ECC.2009.7074383