Gain-scheduled filter design with different time delays for T-S fuzzy systems
Muhammad Shamrooz Aslam, Hazrat Bilal, Zeeshan Anjum · Transactions of the Institute of Measurement and Control · 2024
In this article, the authors study a problem of parameter-varying systems that gain-scheduled H ∞ filtering T-S fuzzy problems by appearing of time-varying delays. Our paper also aims to establish filters that deal with communication delays. Traditional studies often study delay-free filters, but these filters have a more general form. In addition, a nonlinear fractional transformation structure has been incorporated into this filter, which allows its parameters to vary. The authors implement fuzzy Lyapunov–Krasovskii functionals used to intend the delayed fuzzy filters of this study, and delay-dependent circumstances are obtained for stability and performance analysis. The solution of the presented linear matrix inequalities (LMIs) provides the filter parameters. This method is finally justified with an example that illustrates its effectiveness.