Abstract
This short note considers the use of nonlinear time- varying compensation for linear time-invariant discrete-time plants. It is shown via counterexample that the problem of simultaneous performance presents fundamental limitations which cannot be overcome by nonlinear time-varying compensation. This result is in contrast to results on simultaneous stabilization which show that limitations due to linear compensation may be removed using nonlinear time-varying compensation. As a corollary of these results, the conjecture that achievable disturbance rejection over stable nonlinear time-varying compensation equals that for linear compensation is refuted.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 357-360 |
| Number of pages | 4 |
| Journal | Systems and Control Letters |
| Volume | 15 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 1990 |
| Externally published | Yes |
Keywords
- disturbance rejection
- linear systems
- Nonlinear time-varying compensation
- simultaneous performance
- stabilization
ASJC Scopus subject areas
- Control and Systems Engineering
- General Computer Science
- Mechanical Engineering
- Electrical and Electronic Engineering