Abstract
For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full-state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like function, a nonlinear and time-varying state-feedback control scheme is constructed, which is further extended to address output-feedback-based prescribed-time regulation by invoking the prescribed-time observer, all are applicable over the entire operational time zone. As an alternative to full-state regulation within the user-assignable time interval, the proposed method analytically bridges the divide between linear and nonlinear feedback-based prescribed-time control and is able to achieve asymptotic stability, exponential stability, and prescribed-time stability with a unified control structure.
| Original language | English |
|---|---|
| Pages (from-to) | 1126-1135 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
| Volume | 53 |
| Issue number | 2 |
| Early online date | 11 Aug 2022 |
| DOIs | |
| Publication status | Published - Feb 2023 |
| Externally published | Yes |
Bibliographical note
This article was recommended by Associate Editor D. Wang.Publisher Copyright:
© 2022 IEEE.
Funding
This work was supported 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 61991400, Grant 61991403, Grant 61860206008, Grant 61933012, and Grant 61833013.
Keywords
- Full-state regulation
- nonlinear feedback
- output feedback
- prescribed-time stability