Composite event‐triggered H∞ control for nonlinear switched singular systems with a mode‐dependent triggering strategy
Summary This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching...
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| Published in | International journal of robust and nonlinear control Vol. 33; no. 14; pp. 8290 - 8314 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Bognor Regis
Wiley Subscription Services, Inc
25.09.2023
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| Abstract | Summary
This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching, and the closed‐loop system is modeled as an impulsive NSSS. Then, a novel mode‐dependent hybrid event‐triggering strategy (ETS) consisting of disturbance‐influenced ETS and Lyapunov‐function‐dependent ETS is constructed to avoid Zeno behavior and asynchronous phenomena. Based on this ETS and admissible edge‐dependent average dwell time (AED‐ADT) method, some new sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is regular, impulse‐free, has a unique solution, and is globally uniformly asymptotically stable (GUAS) with a weighted H∞ performance. Further, Zeno behavior is excluded by calculating the minimum lower bound of inter‐event time. Finally, a numerical example and a practical application are proposed to demonstrate the validity of the results. |
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| AbstractList | This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching, and the closed‐loop system is modeled as an impulsive NSSS. Then, a novel mode‐dependent hybrid event‐triggering strategy (ETS) consisting of disturbance‐influenced ETS and Lyapunov‐function‐dependent ETS is constructed to avoid Zeno behavior and asynchronous phenomena. Based on this ETS and admissible edge‐dependent average dwell time (AED‐ADT) method, some new sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is regular, impulse‐free, has a unique solution, and is globally uniformly asymptotically stable (GUAS) with a weighted H∞ performance. Further, Zeno behavior is excluded by calculating the minimum lower bound of inter‐event time. Finally, a numerical example and a practical application are proposed to demonstrate the validity of the results. This paper considers the event‐triggered control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching, and the closed‐loop system is modeled as an impulsive NSSS. Then, a novel mode‐dependent hybrid event‐triggering strategy (ETS) consisting of disturbance‐influenced ETS and Lyapunov‐function‐dependent ETS is constructed to avoid Zeno behavior and asynchronous phenomena. Based on this ETS and admissible edge‐dependent average dwell time (AED‐ADT) method, some new sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is regular, impulse‐free, has a unique solution, and is globally uniformly asymptotically stable (GUAS) with a weighted performance. Further, Zeno behavior is excluded by calculating the minimum lower bound of inter‐event time. Finally, a numerical example and a practical application are proposed to demonstrate the validity of the results. Summary This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching, and the closed‐loop system is modeled as an impulsive NSSS. Then, a novel mode‐dependent hybrid event‐triggering strategy (ETS) consisting of disturbance‐influenced ETS and Lyapunov‐function‐dependent ETS is constructed to avoid Zeno behavior and asynchronous phenomena. Based on this ETS and admissible edge‐dependent average dwell time (AED‐ADT) method, some new sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is regular, impulse‐free, has a unique solution, and is globally uniformly asymptotically stable (GUAS) with a weighted H∞ performance. Further, Zeno behavior is excluded by calculating the minimum lower bound of inter‐event time. Finally, a numerical example and a practical application are proposed to demonstrate the validity of the results. |
| Author | Shi, Hongpeng Zhao, Zhenli Yang, Anqing Ma, Shuping |
| Author_xml | – sequence: 1 givenname: Anqing surname: Yang fullname: Yang, Anqing organization: Shandong University – sequence: 2 givenname: Zhenli surname: Zhao fullname: Zhao, Zhenli organization: Shandong University – sequence: 3 givenname: Hongpeng surname: Shi fullname: Shi, Hongpeng organization: Shandong University – sequence: 4 givenname: Shuping orcidid: 0000-0003-3591-6361 surname: Ma fullname: Ma, Shuping email: mashup@sdu.edu.cn organization: Shandong University |
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This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints... This paper considers the event‐triggered control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a... This paper considers the event‐triggered H∞ control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a... |
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| SubjectTerms | admissible edge‐dependent average dwell time Control systems Dwell time event‐triggered H-infinity control incremental quadratic constraints Linear matrix inequalities Lower bounds Mathematical analysis Nonlinear control nonlinear switched singular systems |
| Title | Composite event‐triggered H∞ control for nonlinear switched singular systems with a mode‐dependent triggering strategy |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frnc.6820 https://www.proquest.com/docview/2847629122 |
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