Abstract
An approximate/design approach is taken to the problem of designing near-optimal finite-dimensional compensators for scalar infinite dimensional plants. The criteria used to determine optimality are standard H ∞ weighted sensitivity and mixed-sensitivity measures. More specifically, it is shown that, given a 'suitable' finite-dimensional approximant for an infinite-dimensional plant, one can solve a 'natural' finite-dimensional problem to obtain a near-optimal finite-dimensional compensator. Moreover, very weak conditions are presented to indicate what a 'suitable' approximant is. In addition, it is shown that the optimal performance can be computed by solving a sequence of finite-dimensional eigenvalue/eigenvector problems rather than the typical infinite-dimensional eigenvalue/eigenfunction problem which appears in the literature.
| Original language | English (US) |
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| Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
| Publisher | Publ by IEEE |
| Pages | 1814-1820 |
| Number of pages | 7 |
| Volume | 3 |
| State | Published - 1990 |
| Event | Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: Dec 5 1990 → Dec 7 1990 |
Other
| Other | Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) |
|---|---|
| City | Honolulu, HI, USA |
| Period | 12/5/90 → 12/7/90 |
ASJC Scopus subject areas
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality