Abstract
This paper presents a new method for approximate dynamic inversion of nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of the "fast" dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which satisfy the assumptions of the Tikhonov theorem in the theory of singular perturbations. Several examples illustrate the theoretical results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 451-465 |
| Number of pages | 15 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 2007 |
| Externally published | Yes |
Keywords
- Nonaffine-in-control dynamical systems
- Time-scale separation
- Tracking
ASJC Scopus subject areas
- Control and Systems Engineering
- Algebra and Number Theory
- Numerical Analysis
- Control and Optimization