Abstract
In this note, an implicit inversion approach is introduced to avoid difficulties associated with stability analysis in the direct application of inversion for operator-based hysteresis models. Based on this implicit inversion, an adaptive control algorithm is formulated for continuous-time linear dynamical systems preceded with hysteresis nonlinearities described by the Prandtl-Ishlinskii model. A stability analysis of the controlled system is performed to show that zero-output tracking error can be achieved. Simulation results show the effectiveness of the proposed algorithm.
| Original language | English |
|---|---|
| Article number | 5491113 |
| Pages (from-to) | 2357-2363 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 55 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 2010 Oct 1 |
Keywords
- Adaptive control
- PrandtlIshlinskii model
- continuous-time systems
- hysteresis
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
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Chen, X., Hisayama, T., & Su, C. Y. (2010). Adaptive control for uncertain continuous-time systems using implicit inversion of Prandtl-Ishlinskii hysteresis representation. IEEE Transactions on Automatic Control, 55(10), 2357-2363. [5491113]. https://doi.org/10.1109/TAC.2010.2053737