6533b86cfe1ef96bd12c8374
RESEARCH PRODUCT
Finite-Time Hâ Filtering for T-S Fuzzy Discrete-Time Systems with Time-Varying Delay and Norm-Bounded Uncertainties
Zexu ZhangZhuo ZhangHamid Reza KarimiHui ZhangPeng Shisubject
Lyapunov function0209 industrial biotechnology02 engineering and technologyFuzzy logicsymbols.namesake020901 industrial engineering & automationControl theoryArtificial Intelligence0202 electrical engineering electronic engineering information engineeringFiltering problemnorm-bounded uncertaintieslinear matrix inequalities (LMIs)T-S fuzzy systemMathematicsApplied MathematicsFilter (signal processing)Finite-time boundednesstime delayFilter designH-infinity methods in control theoryDiscrete time and continuous timeComputational Theory and MathematicsControl and Systems EngineeringBounded functionsymbols020201 artificial intelligence & image processingHâ filteringFinite-time boundedness; Hâ filtering; linear matrix inequalities (LMIs); norm-bounded uncertainties; T-S fuzzy system; time delay; Control and Systems Engineering; Computational Theory and Mathematics; Artificial Intelligence; Applied Mathematicsdescription
In this paper, we investigate the filtering problem of discrete-time Takagi–Sugeno (T–S) fuzzy uncertain systems subject to time-varying delays. A reduced-order filter is designed. With the augmentation technique, a filtering error system with delayed states is obtained. In order to deal with time delays in system states, the filtering error system is first transformed into two interconnected subsystems. By using a two-term approximation for the time-varying delay, sufficient delay-dependent conditions of finite-time boundedness and $H_{\infty }$ performance of the filtering error system are derived with the Lyapunov function. Based on these conditions, the filter design methods are proposed and the filter gain matrices can be obtained by calculating a set of linear matrix inequalities. A numerical example is used to illustrate the effectiveness of the proposed approaches.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-01 |