0000000000122350

AUTHOR

Jia You

showing 3 related works from this author

H<inf>∞</inf> filter design for time-delay Markovian jump systems

2013

This paper investigates the H ∞ filtering problem for discrete time-delay Markovian jump systems with application to networked control systems. To design a full-order filter which ensures the stochastic stability and a prescribed H ∞ performance level for the filtering error system, the Scaled Small Gain (SSG) Theorem is developed for stochastic systems. By employing a two-term approximation to delayed state variables, the original system is transformed into an input-output form consisting of two subsystems. Based on the developed SSG Theorem and the proposed Lyapunov-Krasovskii Functional (LKF), the scaled small gains of the subsystems are analyzed to establish a new condition for the exis…

State variableMarkovian jumpFilter designControl theoryControl systemFiltering problemSymmetric matrixFilter (signal processing)H filterMathematics2013 IEEE International Symposium on Industrial Electronics
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Filtering for Discrete Fuzzy Stochastic Time-Delay Systems with Sensor Saturation

2013

Published version of an article from the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2013/146325 This paper addresses the H-infinity filtering problem for discrete fuzzy stochastic systems with time-varying delay and sensor saturation. Random noise depending on state and external disturbance is also taken into account. A decomposition approach is employed to solve the characteristic of sensor saturation. The scaled small gain (SSG) theorem is extended to the stochastic systems, which is employed to handle with the time-varying delay by transforming the original system into the form of an interconnected system consisting of two subsys…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Stochastic stabilityArticle SubjectGeneral Mathematicslcsh:MathematicsVDP::Technology: 500::Mechanical engineering: 570General EngineeringFilter (signal processing)Function (mathematics)State (functional analysis)lcsh:QA1-939Fuzzy logicControl theorylcsh:TA1-2040Filtering problemDecomposition (computer science)Saturation (chemistry)lcsh:Engineering (General). Civil engineering (General)MathematicsMathematical Problems in Engineering
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Robust Estimation for Discrete Markov System with Time-Varying Delay and Missing Measurements

2013

This paper addresses theℋ∞filtering problem for time-delayed Markov jump systems (MJSs) with intermittent measurements. Within network environment, missing measurements are taken into account, since the communication channel is supposed to be imperfect. A Bernoulli process is utilized to describe the phenomenon of the missing measurements. The original system is transformed into an input-output form consisting of two interconnected subsystems. Based on scaled small gain (SSG) theorem and proposed Lyapunov-Krasovskii functional (LKF), the scaled small gains of the subsystems are analyzed, respectively. New conditions for the existence of theℋ∞filters are established, and the correspondingℋ∞f…

Scheme (programming language)EngineeringArticle Subjectbusiness.industrylcsh:MathematicsGeneral MathematicsGeneral EngineeringMarkov systemslcsh:QA1-939Filter designlcsh:TA1-2040Control theoryFiltering problemVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Anvendt matematikk: 413ImperfectBernoulli processlcsh:Engineering (General). Civil engineering (General)businesscomputercomputer.programming_languageMarkov jumpMathematical Problems in Engineering
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