{"title":"具有部分未知转换率的马尔可夫跳跃系统的有限时间 H∞ 滤波","authors":"Juan Zhou, Xinru Ai","doi":"10.1002/acs.3900","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>The thesis studies a stochastic <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>H</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {H}_{\\infty } $$</annotation>\n </semantics></math> finite-time bounded (S<span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>H</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {H}_{\\infty } $$</annotation>\n </semantics></math>FTB) filter design method for time-varying delay Markov jump systems (MJSs) with partially unknown transition rates. First, a Lyapunov–Krasovskii functional with triple integral is built, the free weight matrix is added for lowering the conservatism. And the condition of S<span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>H</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {H}_{\\infty } $$</annotation>\n </semantics></math>FTB of the error system is analyzed. Then, according to linear matrix inequalities (LMIs), a new filter design method is presented. Moreover, the dimension of the filter obtained is free, and the filter ensures that the error system is S<span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>H</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {H}_{\\infty } $$</annotation>\n </semantics></math>FTB. Finally, the validity and effectiveness of the conclusion of this paper are demonstrated by simulation examples.</p>\n </div>","PeriodicalId":50347,"journal":{"name":"International Journal of Adaptive Control and Signal Processing","volume":"38 11","pages":"3710-3730"},"PeriodicalIF":3.9000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-time \\n \\n \\n \\n H\\n \\n \\n ∞\\n \\n \\n filtering for Markov jump systems with partially unknown transition rates\",\"authors\":\"Juan Zhou, Xinru Ai\",\"doi\":\"10.1002/acs.3900\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>The thesis studies a stochastic <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <mrow>\\n <mi>∞</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n <annotation>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math> finite-time bounded (S<span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <mrow>\\n <mi>∞</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n <annotation>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math>FTB) filter design method for time-varying delay Markov jump systems (MJSs) with partially unknown transition rates. First, a Lyapunov–Krasovskii functional with triple integral is built, the free weight matrix is added for lowering the conservatism. And the condition of S<span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <mrow>\\n <mi>∞</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n <annotation>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math>FTB of the error system is analyzed. Then, according to linear matrix inequalities (LMIs), a new filter design method is presented. Moreover, the dimension of the filter obtained is free, and the filter ensures that the error system is S<span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <mrow>\\n <mi>∞</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n <annotation>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math>FTB. Finally, the validity and effectiveness of the conclusion of this paper are demonstrated by simulation examples.</p>\\n </div>\",\"PeriodicalId\":50347,\"journal\":{\"name\":\"International Journal of Adaptive Control and Signal Processing\",\"volume\":\"38 11\",\"pages\":\"3710-3730\"},\"PeriodicalIF\":3.9000,\"publicationDate\":\"2024-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Adaptive Control and Signal Processing\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/acs.3900\",\"RegionNum\":4,\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Adaptive Control and Signal Processing","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/acs.3900","RegionNum":4,"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}
Finite-time
H
∞
filtering for Markov jump systems with partially unknown transition rates
The thesis studies a stochastic finite-time bounded (SFTB) filter design method for time-varying delay Markov jump systems (MJSs) with partially unknown transition rates. First, a Lyapunov–Krasovskii functional with triple integral is built, the free weight matrix is added for lowering the conservatism. And the condition of SFTB of the error system is analyzed. Then, according to linear matrix inequalities (LMIs), a new filter design method is presented. Moreover, the dimension of the filter obtained is free, and the filter ensures that the error system is SFTB. Finally, the validity and effectiveness of the conclusion of this paper are demonstrated by simulation examples.
期刊介绍：
The International Journal of Adaptive Control and Signal Processing is concerned with the design, synthesis and application of estimators or controllers where adaptive features are needed to cope with uncertainties.Papers on signal processing should also have some relevance to adaptive systems. The journal focus is on model based control design approaches rather than heuristic or rule based control design methods. All papers will be expected to include significant novel material.
Both the theory and application of adaptive systems and system identification are areas of interest. Papers on applications can include problems in the implementation of algorithms for real time signal processing and control. The stability, convergence, robustness and numerical aspects of adaptive algorithms are also suitable topics. The related subjects of controller tuning, filtering, networks and switching theory are also of interest. Principal areas to be addressed include:
Auto-Tuning, Self-Tuning and Model Reference Adaptive Controllers
Nonlinear, Robust and Intelligent Adaptive Controllers
Linear and Nonlinear Multivariable System Identification and Estimation
Identification of Linear Parameter Varying, Distributed and Hybrid Systems
Multiple Model Adaptive Control
Adaptive Signal processing Theory and Algorithms
Adaptation in Multi-Agent Systems
Condition Monitoring Systems
Fault Detection and Isolation Methods
Fault Detection and Isolation Methods
Fault-Tolerant Control (system supervision and diagnosis)
Learning Systems and Adaptive Modelling
Real Time Algorithms for Adaptive Signal Processing and Control
Adaptive Signal Processing and Control Applications
Adaptive Cloud Architectures and Networking
Adaptive Mechanisms for Internet of Things
Adaptive Sliding Mode Control.
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