Abstract
A computationally efficient method is described to search and find optimal spatial configurations for the placement (mapping) of a finite number of actuators and sensors on a continuous flexible structure to reduce the vibrations or deformations in the structure to a minimum in the H∞ sense. The method produces a feedback controller corresponding to the minimal H∞ norm of the disturbance-deformation operator. The computational cost of the optimal mapping search is reduced through two techniques. First, the computationally expensive goal function based on the complete H∞ synthesis is evaluated only for the mappings that pass a computationally inexpensive test. Second, the target norm is adjusted statistically based on the already evaluated mappings. Mapping optimization based on exhaustive search and genetic algorithms are presented and demonstrated on a 30-node finite-element model of simply supported beam.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 821-826 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| State | Published - Dec 1 1998 |
| Event | Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: Dec 16 1998 → Dec 18 1998 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization