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Optimal Feedback Control of Precision Paraboloidal Shell Structronic Systems

[+] Author Affiliations
H. S. Tzou, J. H. Ding

University of Kentucky, Lexington, KY

Paper No. IMECE2002-33550, pp. 411-420; 10 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-3629-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


Paraboloidal shell of revolution is a common shell shape used in aerospace, telecommunication, dome structures and many other engineering applications. A structronic shell system is defined as an elastic shell bonded or laminated with piezoelectric sensors and actuators and it is governed by either in-situ or external control electronics. A closed-loop control system of paraboloidal shell structronic system consists of distributed sensors/actuators and controller coupled with the elastic paraboloidal shell. State equation for the paraboloidal shell structronic system is derived and optimal linear quadratic (LQ) state feedback control is implemented, such that the “best” shell control performance with the least control costs can be achieved. The gain matrix is estimated based on minimizing a performance criterion function. Optimal control effects are compared with controlled responses with other non-optimal PD control parameters. Control effects of sensor/actuator patches at different locations with same size are studied and compared; control effects for different natural modes are also investigated.

Copyright © 2002 by ASME
Topics: Feedback , Shells



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