Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol

This paper investigates the ultimately bounded filtering problem for a kind of time-delay nonlinear stochastic systems with random access protocol (RAP) and uniform quantization effects (UQEs). In order to reduce the occurrence of data conflicts, the RAP is employed to regulate the information trans...

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Main Authors: Jiyue Guo, Zidong Wang, Lei Zou, Zhongyi Zhao
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/15/4134
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author Jiyue Guo
Zidong Wang
Lei Zou
Zhongyi Zhao
author_facet Jiyue Guo
Zidong Wang
Lei Zou
Zhongyi Zhao
author_sort Jiyue Guo
collection DOAJ
description This paper investigates the ultimately bounded filtering problem for a kind of time-delay nonlinear stochastic systems with random access protocol (RAP) and uniform quantization effects (UQEs). In order to reduce the occurrence of data conflicts, the RAP is employed to regulate the information transmissions over the shared communication channel. The scheduling behavior of the RAP is characterized by a Markov chain with known transition probabilities. On the other hand, the measurement outputs are quantized by the uniform quantizer before being transmitted via the communication channel. The objective of this paper is to devise a nonlinear filter such that, in the simultaneous presence of RAP and UQEs, the filtering error dynamics is exponentially ultimately bounded in mean square (EUBMS). By resorting to the stochastic analysis technique and the Lyapunov stability theory, sufficient conditions are obtained under which the desired nonlinear filter exists, and then the filter design algorithm is presented. At last, two simulation examples are given to validate the proposed filtering strategy.
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spelling doaj.art-4543865b70344c91b51cf29fc7b6828c2023-11-20T07:54:40ZengMDPI AGSensors1424-82202020-07-012015413410.3390/s20154134Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access ProtocolJiyue Guo0Zidong Wang1Lei Zou2Zhongyi Zhao3College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Computer Science, Brunel University London, Uxbridge UB8 3PH, Middlesex, UKCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper investigates the ultimately bounded filtering problem for a kind of time-delay nonlinear stochastic systems with random access protocol (RAP) and uniform quantization effects (UQEs). In order to reduce the occurrence of data conflicts, the RAP is employed to regulate the information transmissions over the shared communication channel. The scheduling behavior of the RAP is characterized by a Markov chain with known transition probabilities. On the other hand, the measurement outputs are quantized by the uniform quantizer before being transmitted via the communication channel. The objective of this paper is to devise a nonlinear filter such that, in the simultaneous presence of RAP and UQEs, the filtering error dynamics is exponentially ultimately bounded in mean square (EUBMS). By resorting to the stochastic analysis technique and the Lyapunov stability theory, sufficient conditions are obtained under which the desired nonlinear filter exists, and then the filter design algorithm is presented. At last, two simulation examples are given to validate the proposed filtering strategy.https://www.mdpi.com/1424-8220/20/15/4134uniform quantizationrandom access protocolultimately bounded filteringdiscrete-time systemstime-delays
spellingShingle Jiyue Guo
Zidong Wang
Lei Zou
Zhongyi Zhao
Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
Sensors
uniform quantization
random access protocol
ultimately bounded filtering
discrete-time systems
time-delays
title Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
title_full Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
title_fullStr Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
title_full_unstemmed Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
title_short Ultimately Bounded Filtering for Time-Delayed Nonlinear Stochastic Systems with Uniform Quantizations under Random Access Protocol
title_sort ultimately bounded filtering for time delayed nonlinear stochastic systems with uniform quantizations under random access protocol
topic uniform quantization
random access protocol
ultimately bounded filtering
discrete-time systems
time-delays
url https://www.mdpi.com/1424-8220/20/15/4134
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AT zidongwang ultimatelyboundedfilteringfortimedelayednonlinearstochasticsystemswithuniformquantizationsunderrandomaccessprotocol
AT leizou ultimatelyboundedfilteringfortimedelayednonlinearstochasticsystemswithuniformquantizationsunderrandomaccessprotocol
AT zhongyizhao ultimatelyboundedfilteringfortimedelayednonlinearstochasticsystemswithuniformquantizationsunderrandomaccessprotocol