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Event-Triggered Filter Design of Positive Systems With State Saturation
- Source :
- IEEE Systems Journal, IEEE Systems Journal, IEEE, 2020, pp.1-12. ⟨10.1109/JSYST.2020.3019489⟩
- Publication Year :
- 2021
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2021.
-
Abstract
- International audience; This article deals with event-triggered filter design of positive systems subject to state saturation. An event-triggering condition in the form of 1-norm is established based on the error and the measurable output. Under the presented event-triggering condition, the filter systems are transformed into interval uncertain systems. The positivity of the filter and error dynamics is achieved by considering the lower bound of the interval systems. Using a linear copositive Lyapunov function, the stability is guaranteed by considering the upper bound of the interval systems. By virtue of linear programming, an l 1 -gain filter is designed for the systems subject to exogenous disturbance. Then, multiplicative and additive gain fluctuations are introduced. Two classes of nonfragile filters are proposed, and a cone is constructed to guarantee that the states of the systems with state saturation can keep inside it. Finally, two examples are given to illustrate the effectiveness of the proposed approach.
- Subjects :
- Lyapunov function
Linear programming
Computer Networks and Communications
02 engineering and technology
Upper and lower bounds
[SPI.AUTO]Engineering Sciences [physics]/Automatic
symbols.namesake
Control theory
0202 electrical engineering, electronic engineering, information engineering
Symmetric matrix
Electrical and Electronic Engineering
Mathematics
business.industry
05 social sciences
Multiplicative function
050301 education
Positive systems
Automation
Computer Science Applications
Filter design
Control and Systems Engineering
symbols
020201 artificial intelligence & image processing
business
0503 education
Information Systems
Subjects
Details
- ISSN :
- 23737816, 19328184, and 19379234
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- IEEE Systems Journal
- Accession number :
- edsair.doi.dedup.....894772815480bde925a9c5c65653c0c1