Abstract
This paper investigates the predefined-time control problem for a class of nonlinear systems subject to unmatched parametric uncertainties and asymmetric output constraints. A finite-gain based adaptive control scheme is proposed, with which the system is regulated to the equilibrium within the prescribed finite time and the asymmetric constraint requirements on the output are not violated during operation. This is achieved mainly by establishing a new predefined-time stability lemma, which allows the technical difficulty arising from the finite gain based predefined-time controller design and stability analysis to be overcome. In addition, a new universal barrier function is employed to address anticipated constraint requirements on the system output, which enables the performance boundary to be uniform with respect to the initial condition. Two simulation examples are given to confirm the effectiveness of the proposed control scheme.
| Original language | English |
|---|---|
| Article number | 112072 |
| Journal | Automatica |
| Volume | 173 |
| Early online date | 27 Dec 2024 |
| DOIs | |
| Publication status | Published - Mar 2025 |
| 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 2023YFA1011803, in part by the Fundamental Research Funds for the Central Universities, China under Grant 2024CDJYXTD-007, in part by the National Natural Science Foundation of China under Grant 62273064, Grant 61991400, Grant 61991403, Grant 61933012, Grant 62250710167, Grant 62203078, Grant 62403082, in part by Natural Science Foundation of Chongqing, China under Grant CSTB2023NSCQ-MSX0588, and in part by Innovation Support Program for International Students Returning to China under Grant cx2022016.
Keywords
- Adaptive control
- Finite time-varying gain
- Output constraint
- Predefined-time control
- Strict-feedback systems