English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This study explores the observer-based <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> repetitive control problem for a class of fractional-order systems subject to external disturbances described by an interval type-2 Takagi-Sugeno fuzzy model approach. By combining the Lyapunov method and linear matrix inequalities technique, a tracking control input is designed with a prescribed disturbance attenuation performance level such that all states of the resulting closed-loop control system will be bounded and the tracking error can fluctuate near the origin in a small neighborhood. The main attention of this work is focused on the design of the repetitive tracking controller to asymptotically stabilize the fractional-order nonlinear systems and to achieve <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> tracking performance. Precisely, a new set of sufficient conditions is derived in the form of linear matrix inequalities that ensure the desired stability and <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> performance, and the controller gain is then computed. Finally, a numerical example is exploited to demonstrate the effectiveness and potential of the proposed control design technique.

ieee access

Observer-Based <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> Repetitive Control for Fractional-Order Interval Type-2 TS Fuzzy Systems

Observer-Based $H_\infty$ Repetitive Control for Fractional-Order Interval Type-2 TS Fuzzy Systems