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Numerical algorithms for computations of feedback laws arising in control of flexible systemsSeveral continuous models will be examined, which describe flexible structures with boundary or point control/observation. Issues related to the computation of feedback laws are examined (particularly stabilizing feedbacks) with sensors and actuators located either on the boundary or at specific point locations of the structure. One of the main difficulties is due to the great sensitivity of the system (hyperbolic systems with unbounded control actions), with respect to perturbations caused either by uncertainty of the model or by the errors introduced in implementing numerical algorithms. Thus, special care must be taken in the choice of the appropriate numerical schemes which eventually lead to implementable finite dimensional solutions. Finite dimensional algorithms are constructed on a basis of a priority analysis of the properties of the original, continuous (infinite diversional) systems with the following criteria in mind: (1) convergence and stability of the algorithms and (2) robustness (reasonable insensitivity with respect to the unknown parameters of the systems). Examples with mixed finite element methods and spectral methods are provided.
Document ID
19900013769
Document Type
Conference Paper
Authors
Lasiecka, Irena (Virginia Univ. Charlottesville, VA, United States)
Date Acquired
September 6, 2013
Publication Date
December 15, 1989
Publication Information
Publication: Jet Propulsion Lab., California Inst. of Tech., Proceedings of the 3rd Annual Conference on Aerospace Computational Control, Volume 2
Subject Category
COMPUTER PROGRAMMING AND SOFTWARE
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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IDRelationTitle19900013724Analytic PrimaryProceedings of the 3rd Annual Conference on Aerospace Computational Control, volume 2