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contributor authorR. D. Hampton
contributor authorC. R. Knospe
contributor authorM. A. Townsend
date accessioned2017-05-08T23:49:42Z
date available2017-05-08T23:49:42Z
date copyrightJune, 1996
date issued1996
identifier issn0022-0434
identifier otherJDSMAA-26224#354_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116691
description abstractA linear-quadratic-regulator-based (LQR) controller originates from a homogeneous set of state-space equations, and consists of a matrix of constant feedback gains. If the state equations are made nonhomogeneous by adding a vector of deterministic forcing terms, the standard LQR solution is no longer optimal. The present paper develops a matrix solution to this augmented (nonhomogeneous) LQR problem. The solution form consists of constant-gain feedback of the full-state vector, summed with a matrix preview (Duhamel integral) term. A practical and usable approximation is presented for the optimal preview term, having the form of a constant preview gain matrix. An example shows the improvement obtainable in controller performance with the use of this preview gain matrix, for exponentially decaying disturbances with a range of time constants.
publisherThe American Society of Mechanical Engineers (ASME)
titleA Practical Solution to the Deterministic Nonhomogeneous LQR Problem
typeJournal Paper
journal volume118
journal issue2
journal titleJournal of Dynamic Systems, Measurement, and Control
identifier doi10.1115/1.2802329
journal fristpage354
journal lastpage359
identifier eissn1528-9028
treeJournal of Dynamic Systems, Measurement, and Control:;1996:;volume( 118 ):;issue: 002
contenttypeFulltext


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