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Nonlinear stochastic controllers for semiactive and regenerative structural systems, with guaranteed quadratic performance margins

Scruggs, Jeffrey T. and Taflanidis, Alexandros A. and Iwan, Wilfred D. (2006) Nonlinear stochastic controllers for semiactive and regenerative structural systems, with guaranteed quadratic performance margins. In: Dynamic systems and controls, Symposium on Design and Analysis of Advanced Structures, tribology. American Society of Mechanical Engineers , New York, pp. 487-495. ISBN 0-7918-4250-9.

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In many applications of vibration control, the circumstances of the application impose constraints on the energy available for the actuation of control forces. Semiactive dampers (i.e., viscous dampers with controllable coefficients) constitute the simplest example of such actuation in structural control applications. Regenerative Force Actuation (RFA) networks are an extension of semiactive devices, in which mechanical energy is first converted to electrical energy, which is then dissipated in a controllable resistive network. A fairly general class of semiactive and regenerative systems can be characterized by a differential equation which is bilinear (i.e., linear in state, linear in control input, but nonlinear in both). This paper presents a general approach to bilinear feedback control system design for semiactive and regenerative systems, which is analytically guaranteed to out-perform optimal linear viscous damping in stationary stochastic response, under the familiar Quadratic Gaussian performance measure. The design for full-state feedback and for the more practical case of noise-corrupted and incomplete measurements (i.e., output feedback) are separately discussed. Variants of the theory are shown to exist for other quadratic performance measures, including risk-sensitive and multi-objective frameworks. An illustrative application to civil engineering is presented.

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Taflanidis, Alexandros A.0000-0002-9784-7480
Additional Information:© 2006 ASME. This research was supported by NSF SGER grant CMS-0505887. This support is gratefully acknowledged. The authors would like to thank Professor James L. Beck for helpful comments on the manuscript.
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Official Citation:Nonlinear Stochastic Controllers for Semiactive and Regenerative Structural Control Systems, With Guaranteed Quadratic Performance Margins Jeffrey T. Scruggs, Alexandros A. Taflanidis, and Wilfred D. Iwan, ASME Conf. Proc. 2006, 487 (2006), DOI:10.1115/ESDA2006-95625
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24768
Deposited On:09 Aug 2011 20:26
Last Modified:09 Nov 2021 16:26

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