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Stability of constant gain systems with vector feedbackThe state space, the controllability, and the observability concepts are discussed in connection with the proposed stability analysis which permits drastic dimensional reductions for a vector feedback problem. Any constant gain system's stability can thus be analyzed in the frequency domain with a single Nyquist plot. The analysis considers the total system with all loops closed, a disturbance vector as input, and the feedback vector as output. All constant gain systems are shown to be decomposable into stable subsystems where the degree of the decomposition determines the dimensions. The maximum decomposition results in the state-space approach which is the limit case. The method is demonstrated with the stability analysis of the pogo phenomenon, an oscillatory interaction between the propulsion and the structure of a space vehicle. This problem, with eigenvalues over a hundred, was drastically but rigorously reduced to a stability analysis of a 4x4 matrix.
Document ID
19780015087
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Vonpragenau, G. L.
(NASA Marshall Space Flight Center Huntsville, AL, United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Publication Information
Publication: NASA, Washington Fourth Inter-Center Control Systems Conf.
Subject Category
Cybernetics
Accession Number
78N23030
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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