Abstract
A third-order sliding-mode controller is designed for a class of piezoelectric hysteretic models. By introducing an auxiliary variable term, we obtain a special dynamic equation for the third-order sliding-mode function. Based on this dynamic equation, we design the third-order sliding-mode control law. By using the Lyapunov method, the stabilities of all sliding-mode planes are proved and analyzed. Simulation results show the validity of the third-order sliding-mode tracking controller.
| Original language | English |
|---|---|
| Pages (from-to) | 456-461 |
| Number of pages | 6 |
| Journal | Kongzhi Lilun Yu Yinyong/Control Theory and Applications |
| Volume | 25 |
| Issue number | 3 |
| Publication status | Published - Jun 2008 |
Keywords
- Higher order sliding mode control
- Hysteretic model
- Piezoelectric systems
- Tracking controller