Output feedback L<sub>1</sub> control design for positive systems using dynamic event-triggered mechanism
This paper addresses the design of an output feedback L<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> controller for a class of positive linear systems utilizing the dynamic event-triggered mechanism (DETM). Firstly, to save communication resources, a DETM with an internal dynamic variable is proposed to reduce the signal sampling frequency. Based on this, a closed-loop positive system is constructed. Then, sufficient conditions are provided to ensure that the system satisfies positivity and exponential stability with L<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf>-gain performance. Subsequently, by applying matrix decomposition techniques to the controller gain matrix, an output feedback L<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> control scheme in linear programming (LP) form is designed to meet the performance requirements. Finally, an example is provided to verify the validity of the results.
Authors
- Zhengyang Jia (ORCID: https://orcid.org/0000-0002-4677-1025)
- Zhengrong Xiang (ORCID: https://orcid.org/0000-0002-0869-5471)
- Shuo Li (ORCID: https://orcid.org/0000-0003-3804-3068)
- Ronghao Wang (ORCID: https://orcid.org/0009-0000-4478-0828)
Institutions
- Nanjing University of Science and Technology (CN)
- PLA Army Engineering University (CN)
- Hangzhou Dianzi University (CN)
Publication Details
- Published
- 2025-05-09
- DOI
- https://doi.org/10.1109/ddcls66240.2025.11065316
- Primary Topic
- Advanced Control Systems Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Zhejiang Province