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Title: Asynchronous quantized control of piecewise-affine systems
Authors: Ning, Zepeng
Feng ,Gang
Yin, Xunyuan
Keywords: Engineering::Chemical engineering
Issue Date: 2023
Source: Ning, Z., Feng , G. & Yin, X. (2023). Asynchronous quantized control of piecewise-affine systems. IEEE Transactions On Automatic Control.
Project: RS15/21 
Journal: IEEE Transactions on Automatic Control 
Abstract: This technical note proposes a novel asynchronous control approach for discrete-time piecewise-affine (PWA) systems with logarithmic quantization of both multi-inputs and multi-state measurements. Since the actual system state and the quantized state may not always be in the same operating region due to quantization-induced uncertainties, the operating modes of the PWA system and the controller which depends on the quantized states may be asynchronous. Aiming at reducing the computational cost and the conservatism of the results, a mapping region-based algorithm is first proposed to determine the reachable dwelling regions for the quantized state. By using a convex combination model to approximate the quantization-induced uncertainties, a novel piecewise Lyapunov function taking into consideration the uncertainties is then proposed. It is shown that with the newly proposed Lyapunov function, the desired asynchronous controller can be obtained and the resulting closed-loop system is asymptotically stable. A simulated chemical reactor example is presented to illustrate the effectiveness and the superiority of the proposed asynchronous control approach.
ISSN: 0018-9286
DOI: 10.1109/TAC.2023.3266978
Schools: School of Chemistry, Chemical Engineering and Biotechnology 
Rights: © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at:
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:CCEB Journal Articles

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