Convex controller design for vibration suppression of a flexible antenna
- State Univ. of New York, Buffalo, NY (United States)
- Virginia Polytechnic Inst. and State Univ., Blacksburg, VA (United States)
A procedure based on convex optimization is used to design collocated control laws for a small-scale model of a flexible antenna. The objective of the active control is to minimize the response of a single rib to a disturbance occurring at a remote location on the structure. Two separate designs are examined. The first is standard Linear Quadratic Gaussian (LQG) control, whereby the H{sub 2} norm of the transfer matrix is minimized via the solution of two Riccati equations. Unfortunately, this type of design does not exploit the favorable attributes of sensor/actuator collocation, resulting in control laws that are not robust to model uncertainty and structural variations. An optimization approach to H{sub 2} optimal design is presented that bounds the phase of the control law, thereby increasing its robustness. The optimization is shown to be convex, providing important guarantees on solution accuracy and convergence. Control laws designed with both procedures are experimentally implemented on the antenna testbed. The results illustrate the advantages of designing H{sub 2} optimal controllers that are bounded in phase.
- OSTI ID:
- 395208
- Report Number(s):
- CONF-940691--; ISBN 1-56676-171-9
- Country of Publication:
- United States
- Language:
- English
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