Johnson, C. D. New results in subspace-stabilization control theory. (English) Zbl 1002.49027 Math. Probl. Eng. 6, No. 2-3, 99-124 (2000). Summary: Subspace-stabilization is a generalization of the classical idea of stabilizing motions of a dynamical system to an equilibrium state. The concept of subspace-stabilization and a theory for designing subspace-stabilizing control laws was introduced in a previously published paper. In the present paper, two new alternative methods for designing control laws that achieve subspace-stabilization are presented. These two alternative design methods are based on: (i) a novel application of existing linear-quadratic regulator optimal control theory, and (ii) an algebraic method in which the control-law is expressed as a linear feedback of certain “canonical variables.” In some cases, these new design methods may be more effective than existing ones. The results are illustrated by worked examples. Cited in 1 Document MSC: 49N10 Linear-quadratic optimal control problems 93D15 Stabilization of systems by feedback Keywords:LQR; optimal control theory; dynamical system; subspace-stabilizing control laws; linear-quadratic regulator PDFBibTeX XMLCite \textit{C. D. Johnson}, Math. Probl. Eng. 6, No. 2--3, 99--124 (2000; Zbl 1002.49027) Full Text: DOI EuDML