Abstract
We study the problem of designing a feedback controller for a highly flexible Euler-Bernoulli beam using a distributed-parameter H∞-method. Employing skew Toeplitz theory, we derive the H∞-optimal controller for a weighted mixed sensitivity design for the beam. Based on the structure of the optimal controller we obtain suboptimal, finite-dimensional, linear, time-invariant controllers. With this approach we are able to include the added difficulties of a pure time delay and a noncollocated actuator/sensor pair directly into the design process.
Original language | English (US) |
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Pages (from-to) | 947-961 |
Number of pages | 15 |
Journal | Automatica |
Volume | 27 |
Issue number | 6 |
DOIs | |
State | Published - Nov 1991 |
Bibliographical note
Funding Information:Acknowledgements--This work was supported by the National Science Foundation under grants nos ECS-8908592, ECS-8704047, DMS-8811084, DMS-8907019, and MSS-8707700; by the Air Force Office of Scientific Research under grant no. AFOSR-90-0024; and by the Army Research Office under grant no. DAAL03-91-G-0019.
Keywords
- Control applications
- control systems synthesis
- distributed parameter systems
- frequency domain methods
- linear optimal control
- robustness
- sensitivity analysis