Abstract
This paper considers the minimization of the l∞-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3433-3437 |
| Number of pages | 5 |
| Journal | Proceedings of the American Control Conference |
| Volume | 5 |
| State | Published - 1997 |
| Event | Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: Jun 4 1997 → Jun 6 1997 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering