H8 control state feedback and Rayleigh quotient

Zhong, Wanxie, Howson, William Paul and Williams, Frederick Ward 2001. H8 control state feedback and Rayleigh quotient. Computer Methods in Applied Mechanics and Engineering 191 (3-5) , pp. 489-501. 10.1016/S0045-7825(01)00286-9

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Abstract

Based on the analogy between structural mechanics and optimal control, the optimal parameter ??2cr of state feedback H8 control is shown to correspond to the fundamental Rayleigh quotient eigenvalue in structural stability or to structural vibration problems formulated in the prismatic domain. The derivation is based on the variational method and the related Riccati differential equation. Thereafter, the precise integration method is developed for time invariant systems and leads to numerical results which achieve full computer precision. Additionally, the optimal parameter ?cr?2 can be computed to any required precision by using the extended Wittrick–Williams algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Uncontrolled Keywords:	H8 control; Rayleigh quotient; Riccati equation; Precise integration
ISSN:	0045-7825
Last Modified:	01 Feb 2020 23:46
URI:	https://orca.cardiff.ac.uk/id/eprint/1968

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