Stabilization of networked singular control systems under double-channel quantization and DoS attacks

This paper is concerned with the asymptotic stabilization of discrete singular systems over a bandwidth limited digital network, when the state measurements are periodically sampled and encoded using a finite alphabet, and the control input signals are subject to finite-alphabet encoding and Denial-...

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Bibliographic Details
Published in:Journal of the Franklin Institute Vol. 359; no. 8; pp. 3517 - 3548
Main Authors: Lin, Jinxing, Wu, Xiang, Xiao, Min, Ding, Jie
Format: Journal Article
Language:English
Published: Elmsford Elsevier Ltd 01.05.2022
Elsevier Science Ltd
Subjects:
Asymptotic methods
Asymptotic properties
Closed loop systems
Control systems design
Controllers
Counters
Denial of service attacks
Encoding-Decoding
Finite element analysis
Measurement
Sampling
Signal processing
Stabilization
ISSN:0016-0032, 1879-2693, 0016-0032
Online Access:Get full text
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Summary:This paper is concerned with the asymptotic stabilization of discrete singular systems over a bandwidth limited digital network, when the state measurements are periodically sampled and encoded using a finite alphabet, and the control input signals are subject to finite-alphabet encoding and Denial-of-Service attacks. It is assumed that the attack signals are uniform for all sampling periods and have been identified. A dynamic controller is designed based on a restricted equivalent model of the controlled plant. Two types of finite-level quantizers are designed for encoding: uniform and logarithmic. For both types of quantizers, dynamic encoding-decoding strategies for the plant state and the control input are proposed, which exploit the controller’s state and the origin, respectively, as the quantization centers. Sufficient conditions for asymptotic stabilizability involving the sampling period, the numbers of the state and input quantization levels, the beginning time and corresponding duration of the attack signals are established by propagating reachable sets during sampling interval. Finally, several numerical examples are given to illustrate the design procedures and the efficacy of the theoretical results.
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ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2022.03.016