Abstract
This work presents a novel approach to unifying finite time control and prescribed time control. The main idea is to establish a new Lyapunov differential inequality that allows finite time and prescribed time stability to be addressed uniformly. It is shown that the derived control algorithm is able to achieve prescribed time convergence with bounded control gain and bounded control action, completely solving for the first time the long-lasting issue of infinite gain associated with current notion of prescribed time control. Numerical simulations also confirmed the effectiveness of the developed approach.
| Original language | English |
|---|---|
| Pages (from-to) | 2930-2949 |
| Number of pages | 20 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 33 |
| Issue number | 4 |
| Early online date | 20 Dec 2022 |
| DOIs | |
| Publication status | Published - Mar 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2022 John Wiley & Sons Ltd.
Funding
National Key Research and Development Program of China, Grant/Award Numbers: 2021ZD0201300, 2022YFB4701400/4701401; National Natural Science Foundation of China, Grant/Award Numbers: 61991400, 61991403, 62250710167, 61860206008, 61933012, 62273064
Keywords
- finite time control
- nonautonomous nonlinear system
- prescribed time control
- without infinite gain