A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints
This study aims to explore the problem of $ H_{\infty} $ fuzzy control with an adjustable convergence rate for switched nonlinear systems with time-varying delays under the persistent dwell time (PDT) switching. Compared to the widely studied dwell time (DT) switching or average dwell time (ADT) swi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-09-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://aimspress.com/article/doi/10.3934/math.20241275?viewType=HTML |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850264462025555968 |
|---|---|
| author | Han Geng Huasheng Zhang |
| author_facet | Han Geng Huasheng Zhang |
| author_sort | Han Geng |
| collection | DOAJ |
| description | This study aims to explore the problem of $ H_{\infty} $ fuzzy control with an adjustable convergence rate for switched nonlinear systems with time-varying delays under the persistent dwell time (PDT) switching. Compared to the widely studied dwell time (DT) switching or average dwell time (ADT) switching in existing literature, PDT switching provides a more comprehensive consideration of the switching frequency and has a broader range of applicability. Subsequently, by combining the interval stability definition, T-S fuzzy model, PDT technique, and Lyapunov-Krasovskii (L-K) functional, a new $ H_{\infty} $ fuzzy control criterion for adjusting the convergence rate of switched nonlinear systems with time-varying delays is proposed. This criterion enables the development of a novel method for constructing $ H_{\infty} $ fuzzy controllers, which can regulate the system's convergence rate and achieve the specified $ H_{\infty} $ performance. Combining the above methods, an algorithm is introduced to precisely control the convergence rate of the target system. Finally, the effectiveness of this method is validated through a control example of a single-link robot arm. |
| format | Article |
| id | doaj-art-ca9651195f324fef9f48529c094b9ca7 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-ca9651195f324fef9f48529c094b9ca72025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882024-09-019926092611310.3934/math.20241275A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraintsHan Geng0Huasheng Zhang 1School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng 252059, ChinaThis study aims to explore the problem of $ H_{\infty} $ fuzzy control with an adjustable convergence rate for switched nonlinear systems with time-varying delays under the persistent dwell time (PDT) switching. Compared to the widely studied dwell time (DT) switching or average dwell time (ADT) switching in existing literature, PDT switching provides a more comprehensive consideration of the switching frequency and has a broader range of applicability. Subsequently, by combining the interval stability definition, T-S fuzzy model, PDT technique, and Lyapunov-Krasovskii (L-K) functional, a new $ H_{\infty} $ fuzzy control criterion for adjusting the convergence rate of switched nonlinear systems with time-varying delays is proposed. This criterion enables the development of a novel method for constructing $ H_{\infty} $ fuzzy controllers, which can regulate the system's convergence rate and achieve the specified $ H_{\infty} $ performance. Combining the above methods, an algorithm is introduced to precisely control the convergence rate of the target system. Finally, the effectiveness of this method is validated through a control example of a single-link robot arm.https://aimspress.com/article/doi/10.3934/math.20241275?viewType=HTMLswitched t-s fuzzy systems$ h_{\infty} $ controlconvergence ratepersistent dwell timetime-varying delay |
| spellingShingle | Han Geng Huasheng Zhang A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints AIMS Mathematics switched t-s fuzzy systems $ h_{\infty} $ control convergence rate persistent dwell time time-varying delay |
| title | A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints |
| title_full | A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints |
| title_fullStr | A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints |
| title_full_unstemmed | A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints |
| title_short | A new $ H_{\infty} $ control method of switched nonlinear systems with persistent dwell time: $ H_{\infty} $ fuzzy control criterion with convergence rate constraints |
| title_sort | new h infty control method of switched nonlinear systems with persistent dwell time h infty fuzzy control criterion with convergence rate constraints |
| topic | switched t-s fuzzy systems $ h_{\infty} $ control convergence rate persistent dwell time time-varying delay |
| url | https://aimspress.com/article/doi/10.3934/math.20241275?viewType=HTML |
| work_keys_str_mv | AT hangeng anewhinftycontrolmethodofswitchednonlinearsystemswithpersistentdwelltimehinftyfuzzycontrolcriterionwithconvergencerateconstraints AT huashengzhang anewhinftycontrolmethodofswitchednonlinearsystemswithpersistentdwelltimehinftyfuzzycontrolcriterionwithconvergencerateconstraints AT hangeng newhinftycontrolmethodofswitchednonlinearsystemswithpersistentdwelltimehinftyfuzzycontrolcriterionwithconvergencerateconstraints AT huashengzhang newhinftycontrolmethodofswitchednonlinearsystemswithpersistentdwelltimehinftyfuzzycontrolcriterionwithconvergencerateconstraints |