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dc.contributor.advisor Pearson, J. B.
dc.creatorCheng, Lin-Fu
dc.date.accessioned 2018-12-18T21:20:46Z
dc.date.available 2018-12-18T21:20:46Z
dc.date.issued 1975
dc.identifier.urihttps://hdl.handle.net/1911/104310
dc.description Text includes handwritten formulas
dc.description.abstract This thesis considers the problem of zeroing the output z(t) of a general linear, fixed-parameter, multivariable system as described by x(t) * Ax(t) + Bu(t) z(t) = C,jx(t) + D<ju(t) y(t) = C2x(t) + D2u(t) where y(t) is what can be measured and z(t) is to be regulated. Conditions are obtained for the existence of state feedback u=Fx such that (1) z(t)-?- as t-»oo,(2) ker FC>?X> and(3) any controllable, observable mode of the closed-loop system is stabilized. Vector space manipulations are adopted throughout the thesis. First, an algebraic formulation corresponding to (1) is derived and the problem in its most primitive form is solved. Since output (y(t)) feedback is assumed to be the realization of state feedback, (2) is shown to be equivalent to the observability constraint. TL is the unobservability subspace and is invariant under A. Finally, (3) is considered to take care of internal stability. Solution to the general problem is then presented. The results are illustrated by regulation in the presence of certain type of disturbances.
dc.format.extent 79 pp
dc.language.iso eng
dc.title The general linear multivariable regulator problem
dc.identifier.digital RICE1942
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Electrical Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.format.digitalOrigin reformatted digital
dc.identifier.callno THESIS E.E. 1975 CHENG
dc.identifier.citation Cheng, Lin-Fu. "The general linear multivariable regulator problem." (1975) Master’s Thesis, Rice University. https://hdl.handle.net/1911/104310.


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