Proceedings Article10.1109/CDC.1980.271775
Eigenspace selection procedures for closed loop response shaping with modal control
Thomas B. Cunningham
- 01 Dec 1980
- Vol. 19, pp 178-186
68
TL;DR: In this article, a closed loop eigenvector subspace is defined with basis vectors calculated using a singular value decomposition, which are optimally combined to minimize the vector element errors between desired and achievable eigenvectors.
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Abstract: Procedures are discussed for selecting closed loop eigenvalues and eigenvectors to achieve desired transient response behavior. The admissible eigenvector subspace is defined with basis vectors calculated using a singular value decomposition. These vectors are optimally combined to 1) minimize the vector element errors between desired and achievable eigenvectors, or 2) blend the control effort to exactly place desired eigenvectors, or 3) a combined optimization. Appropriate transmission zeros reveal tradeoffs between eigenvalue and eigenvector placement. Modal control ls used to realize the eigenspace placement goals using output feedback and user supplied compensation. Two aerospace examples demonstrate techniques for achieving desired response characteristics consistent with conventional design specifications.
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Citations
On eigenstructure assignment in linear multivariable systems
M. Fahmy,J. O'Reilly +1 more
TL;DR: In this article, the eigenvalue-assignment approach of Brogan was generalized and extended to the assignment of the entire closed-loop eigenstructure of linear multivariable systems.
165
New technique for aircraft flight control reconfiguration
TL;DR: In this article, a particular algorithm is applied to the aircraft flight control reconfiguration problem, which can adapt in a very short period of time to major damage of a control surface, by making use of the recent control and response time histories.
61
Vibration Confinement via Optimal Eigenvector Assignment and Piezoelectric Networks
Jiong Tang,K. W. Wang +1 more
TL;DR: In this paper, a new eigenstructure assignment algorithm is developed to more directly suppress vibration in regions of interest, and the active control input is applied through an active-passive hybrid piezoelectric network.
57
Eigenstructure assignment by decentralized output feedback-a complete parametric approach
TL;DR: The problem of eigenstructure assignment in multivariable linear systems by decentralized output feedback is considered by using a complete parametric solution of a generalized Sylvester matrix equation, and parametric representations of both the left and right closed-loop eigenvectors and generalized eigen vectors are established.
47
Active Mode Localization in Distributed Parameter Systems with Consideration of Limited Actuator Placement, Part 1: Theory
TL;DR: In this paper, two approaches are presented that shape system eigenvectors using feedback control, generating localization to produce areas of isolation with relatively low vibration amplitudes compared to other parts of the structure.
46
References
Optimal Linear Control (Characterization of Multi-Input Systems).
C. A. Harvey,G. Stein,J. C. Doyle +2 more
- 09 Aug 1977
TL;DR: In this article, the equivalence of quadratic state weighting to quadratically weighting of m responses where m is the dimension of the input has been investigated for optimal multi-input systems.
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