Balanced singular values for LQG/LTR design

Balanced singular values for LQG/LTR design

Multivariate design methods based on robustness results for the linear-quadratic regulator or for the Kalman filter require selection of either state/control weighting matrices or process/measurement noise covariance matrices that yield loop return ratios satisfying user-specified design criteria. S...

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Veröffentlicht in:International journal of control 1987-03, Vol.45 (3), p.939-950
Hauptverfasser: DOUGLAS BIRDWELL, J., LAUB, ALAN J.
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Sprache:eng
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Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
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container_title International journal of control
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creator DOUGLAS BIRDWELL, J.
LAUB, ALAN J.
description Multivariate design methods based on robustness results for the linear-quadratic regulator or for the Kalman filter require selection of either state/control weighting matrices or process/measurement noise covariance matrices that yield loop return ratios satisfying user-specified design criteria. Such criteria include disturbance rejection, command following, closed-loop bandwidth and robustness to unstructured uncertainty. The standard method of achieving this first 'balances' the singular values of the return ratio of the design at either zero or infinite frequency. An algorithm is described in this paper for 'balancing' these singular values at arbitrary frequencies, providing additional design flexibility.
doi_str_mv 10.1080/00207178708933779
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subjects Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
title Balanced singular values for LQG/LTR design
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