Abstract
In this paper, we propose decentralized prescribed-time control schemes for a class of interconnected nonlinear systems by using time-varying high-gain domination approach. It is shown that prescribed-time exact regulation can be achieved by a linear observer based controller in the presence of completely unknown interactions. Besides, without significantly modifying the original controller structure, we develop a singularity-free controller with bounded time-varying feedback to drive the system state to converge to a compact set within a preset time, and ultimately converge to zero. In both of these approaches, the controller and observer designs have a dual architecture, thereby obviating the need for the separation principle (which might not be valid for nonlinear systems with mismatched uncertainties). In addition, the relationship between the upper bound of the time-varying gain and the stability of the closed-loop system is thoroughly analyzed.
| Original language | English |
|---|---|
| Article number | 111571 |
| Journal | Automatica |
| Volume | 163 |
| Early online date | 5 Feb 2024 |
| DOIs | |
| Publication status | Published - May 2024 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2024
Funding
This work was supported in part by the National Key Research and Development Program of China under Grant 2022YFB4701400/4701401 , in part by the Graduate Research and Innovation Foundation of Chongqing, China, under Grant CYB22065 , and in part by the National Natural Science Foundation of China under Grant (No. 61991400 , No. 61991403 , No. 62250710167 , No. 61860206008 , and No. 61933012 ).
Keywords
- Decentralized control
- Interconnected subsystems
- Matrix pencil
- Output-feedback