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Proceedings Paper

Dual forms and a proposed forward integration method for the matrix differential Riccati equation
Author(s): J. Geoffrey Chase; H. Allison Smith; Wen-Hwa Wu
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Paper Abstract

Much of the research done in recent years towards the development of the smart or adaptive structure focuses on the application of active control to alleviate undesirable structural responses. Classical optimal control algorithms are not directly applicable to most civil engineering applications because the control gains neglect the effects of the external forcing function and assume a time invariant system (which allows the differential Riccati equation (DRE) to be reduced to an algebraic Riccati equation). The reason for these assumptions is that the time dependent DRE can only be stably integrated backwards in time. This study presents a more effective LQR control algorithm for civil structure applications, based on a proposed methodology for forward integrating the DRE. A set of dual equations are presented together with an optimization technique for obtaining the DRE solution from a forward integrable dual form. In addition, a matrix-valued integration procedure is formulated for and applied to the differential Riccati equation with time variant plant and weighting matrices.

Paper Details

Date Published: 1 May 1994
PDF: 12 pages
Proc. SPIE 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures, (1 May 1994); doi: 10.1117/12.174239
Show Author Affiliations
J. Geoffrey Chase, Stanford Univ. (United States)
H. Allison Smith, Stanford Univ. (United States)
Wen-Hwa Wu, Stanford Univ. (United States)

Published in SPIE Proceedings Vol. 2192:
Smart Structures and Materials 1994: Mathematics and Control in Smart Structures
H. Thomas Banks, Editor(s)

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