Table 2 Settling times (obtained from Fig. 8, 10 and 12) and overshoots (obtained from Figs. 7, 9, and 11) by using three control methods for the nonlinear system (4) under external disturbances and linear unmodelled dynamics, i.e., \(\alpha _1 = 2\), \(\alpha _2 \ne 0\), and \(\alpha _3 = 0\).
From: Exponential super-twisting control for nonlinear systems with unknown polynomial perturbations
\(\alpha _2\) | Settling time \(t_s\) (Seconds) | Overshoot O.S. (\(\%\)) | ||||
|---|---|---|---|---|---|---|
PI | STA | ESTA | PI | STA | ESTA | |
0.5 | 18 | 5.2 | 3.2 | 70 | 70 | 40 |
1.0 | Oscillating | Unstable | 4.5 | Oscillating | Unstable | 50 |
1.5 | Unstable | Unstable | 9.5 | Unstable | Unstable | 150 |
