Name
Title | ||
|---|---|---|
Robust < Inline-Formula >< Tex-Math Notation="Latex">$H_{\Infty }$</Tex-Math ></Inline-Formula > Control For Ts Fuzzy Systems With State And Input Time-Varying Delays Via Delay-Product-Type Functional Method |
Abstract | ||
|---|---|---|
This paper investigates the problem of robust $H_{\infty }$ control for a class of nonlinear systems with state and input time-varying delays. The nonlinearity is presented by a continuous-time Takagi-Sugeno (T-S) fuzzy model with parameter uncertainties. A sufficient asymptotic stability condition is first proposed by constructing a delay-product-type augmented LyapunovKrasovskii functional and utilizing an extended reciprocally convex matrix inequality together with a Wirtinger-based integral inequality. Then, a state feedback controller is derived that guarantees the closed-loop fuzzy system being asymptotically stable with an $H_{\infty }$ performance index. Finally, four numerical examples are given to reveal the effectiveness and merits of the developed new design techniques. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/TFUZZ.2019.2892356 | IEEE TRANSACTIONS ON FUZZY SYSTEMS |
Keywords | DocType | Volume |
Fuzzy systems, Delays, Linear matrix inequalities, Symmetric matrices, Time-varying systems, Nonlinear systems, State feedback, Delay-product-type functional method, robust < inline-formula xmlns:ali="http:, www, niso, org, schemas, ali, 1, 0, " xmlns:mml="http:, www, w3, org, 1998, Math, MathML" xmlns:xlink="http:, www, w3, org, 1999, xlink" xmlns:xsi="http:, www, w3, org, 2001, XMLSchema-instance"> < tex-math notation="LaTeX">$H_{\infty }$<, tex-math > <, inline-formula > control, Takagi-Sugeno (T-S) fuzzy system, time-varying delay | Journal | 27 |
Issue | ISSN | Citations |
10 | 1063-6706 | 1 |
PageRank | References | Authors |
0.35 | 0 | 5 |