Abstract
This paper presents an 𝑙1-gain control design for two-dimensional (2D) delayed positive systems (PSs) in the Fornasini-Marchesini local state-space model. First, for a stable 2D delayed PS, the necessary and sufficient conditions are derived for the calculation of the exact value of the 𝑙1-gain. Then, the controller design is given with the aid of the singular value decomposition method, which ensures that the closed-loop system is asymptotically stable at the specified 𝑙1-gain level. In the end, two examples are provided to identify the validity and correctness of the results of the theory.
| Original language | English |
|---|---|
| Pages (from-to) | 3449-3464 |
| Number of pages | 16 |
| Journal | International Journal of Systems Science |
| Volume | 53 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 29 Jun 2022 |
Keywords
- Fornasini-Marchesini local state-space model
- Positive systems
- delays
- l -gain
ASJC Scopus subject areas
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications
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