Abstract
This paper addresses the problem of ℓ1-induced controller design for positive two-dimensional (2D) systems with multiple delays. An analytical method is presented to calculate the exact value of ℓ1-induced norm for positive 2D delayed systems. Necessary and sufficient conditions for asymptotical stability and ℓ1-induced performance are first derived for the addressed system. Then, based on the singular value decomposition (SVD) technique, controllers are designed to guarantee the asymptotic stability with a prescribed ℓ1-gain performance level. Those characterizations are formulated in the form of linear programming (LP). Finally, two examples are provided to show the effectiveness and correctness of the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 7904-7920 |
| Number of pages | 17 |
| Journal | Journal of the Franklin Institute |
| Volume | 357 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 24 Jun 2020 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Signal Processing
- Computer Networks and Communications
- Applied Mathematics
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