{"title":"IT2-Fuzzy-Model-Based Guaranteed Cost Control for Continuous-Time MJSs With Non-Consecutive Transmission and Quantization","authors":"Guangtao Ran, Yanning Guo, Yueyong Lv, Hak-Keung Lam, Jian Liu, Hongtian Chen","doi":"10.1002/rnc.7691","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This article addresses the asynchronous guaranteed cost control (GCC) problems for interval type-2 (IT2) fuzzy continuous-time Markov jump systems (C-TMJSs) with quantization and non-consecutive transmission. A dynamic event-triggered mechanism (ETM) for IT2 fuzzy C-TMJSs is designed to address the limited bandwidth and communication burden, which incorporates mode-dependent thresholds and weighting matrices. An asynchronous IT2 fuzzy guaranteed cost controller possessing unmatched premise variable information is developed to stabilize the considered system, achieving desired GCC performance. The relationship between system mode and controller mode is described by the hidden Markov model (HMM). A quantizer is employed to quantize the signal prior to transmission to the next node, modeled as a stochastic quantization utilizing the HMM. Furthermore, an improved mode-dependent and fuzzy-dependent Lyapunov function is constructed for stability analysis, and the conditions of optimal GCC performance are derived. Finally, two examples are performed to validate the effectiveness of the proposed algorithms.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 3","pages":"894-908"},"PeriodicalIF":3.2000,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7691","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This article addresses the asynchronous guaranteed cost control (GCC) problems for interval type-2 (IT2) fuzzy continuous-time Markov jump systems (C-TMJSs) with quantization and non-consecutive transmission. A dynamic event-triggered mechanism (ETM) for IT2 fuzzy C-TMJSs is designed to address the limited bandwidth and communication burden, which incorporates mode-dependent thresholds and weighting matrices. An asynchronous IT2 fuzzy guaranteed cost controller possessing unmatched premise variable information is developed to stabilize the considered system, achieving desired GCC performance. The relationship between system mode and controller mode is described by the hidden Markov model (HMM). A quantizer is employed to quantize the signal prior to transmission to the next node, modeled as a stochastic quantization utilizing the HMM. Furthermore, an improved mode-dependent and fuzzy-dependent Lyapunov function is constructed for stability analysis, and the conditions of optimal GCC performance are derived. Finally, two examples are performed to validate the effectiveness of the proposed algorithms.
期刊介绍：
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
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