Stabilization of Infinite-dimensional Systems under Quantization and Packet Loss

We study the problem of stabilizing infinite-dimensional systems with input and output quantization. The closed-loop system we consider is subject to packet loss, whose average duration is assumed to be bounded. Given a bound on the initial state, we propose a design method for dynamic quantizers wi...

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Bibliographic Details
Published inIEEE transactions on automatic control pp. 1 - 16
Main Author Wakaiki, Masashi
Format Journal Article
LanguageEnglish
Published IEEE 2025
Subjects
Aerospace electronics
Approximation of operator norms
Autoregressive processes
Closed loop systems
Convergence
infinite-dimensional systems
Linear systems
Networked control systems
Packet loss
quantization
Quantization (signal)
Sampled data systems
Surveys
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Summary:We study the problem of stabilizing infinite-dimensional systems with input and output quantization. The closed-loop system we consider is subject to packet loss, whose average duration is assumed to be bounded. Given a bound on the initial state, we propose a design method for dynamic quantizers with zoom parameters. We show that the closed-loop state starting in a given region exponentially converges to zero if bounds on quantization errors and packet-loss intervals satisfy suitable conditions. Since the norms of the operators representing the system dynamics are used in the proposed quantizer design, we also present methods for approximately computing the operator norms.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2025.3564223