Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization
This paper deals with a static/dynamic event-triggered asynchronous filter of nonlinear switched positive systems with output quantization. The nonlinear function is located in a sector. Both static and dynamic event-triggering conditions are established based on the 1-norm form. By virtue of the ev...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/4/599 |
| _version_ | 1797478346954637312 |
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| author | Shitao Zhang Peng Lin Junfeng Zhang |
| author_facet | Shitao Zhang Peng Lin Junfeng Zhang |
| author_sort | Shitao Zhang |
| collection | DOAJ |
| description | This paper deals with a static/dynamic event-triggered asynchronous filter of nonlinear switched positive systems with output quantization. The nonlinear function is located in a sector. Both static and dynamic event-triggering conditions are established based on the 1-norm form. By virtue of the event-triggering mechanism, the error system is transformed into an interval uncertain system. An event-triggered asynchronous filter is designed by employing a matrix decomposition approach. The positivity and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>1</mn></msub></semantics></math></inline-formula>-gain stability of the error system are guaranteed by means of linear copositive Lyapunov functions and a linear programming approach. Finally, two examples are given to verify the effectiveness of the design. |
| first_indexed | 2024-03-09T21:30:38Z |
| format | Article |
| id | doaj.art-8d51138204c84b969c3722aa1ee5eafa |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:30:38Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8d51138204c84b969c3722aa1ee5eafa2023-11-23T20:57:16ZengMDPI AGMathematics2227-73902022-02-0110459910.3390/math10040599Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output QuantizationShitao Zhang0Peng Lin1Junfeng Zhang2School of Automation, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Automation, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Automation, Hangzhou Dianzi University, Hangzhou 310018, ChinaThis paper deals with a static/dynamic event-triggered asynchronous filter of nonlinear switched positive systems with output quantization. The nonlinear function is located in a sector. Both static and dynamic event-triggering conditions are established based on the 1-norm form. By virtue of the event-triggering mechanism, the error system is transformed into an interval uncertain system. An event-triggered asynchronous filter is designed by employing a matrix decomposition approach. The positivity and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>1</mn></msub></semantics></math></inline-formula>-gain stability of the error system are guaranteed by means of linear copositive Lyapunov functions and a linear programming approach. Finally, two examples are given to verify the effectiveness of the design.https://www.mdpi.com/2227-7390/10/4/599switched nonlinear positive systemsevent-triggered filterasynchronous switchinglinear programming |
| spellingShingle | Shitao Zhang Peng Lin Junfeng Zhang Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization Mathematics switched nonlinear positive systems event-triggered filter asynchronous switching linear programming |
| title | Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization |
| title_full | Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization |
| title_fullStr | Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization |
| title_full_unstemmed | Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization |
| title_short | Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization |
| title_sort | event triggered asynchronous filter of nonlinear switched positive systems with output quantization |
| topic | switched nonlinear positive systems event-triggered filter asynchronous switching linear programming |
| url | https://www.mdpi.com/2227-7390/10/4/599 |
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