New results in subspace-stabilization control theory. Issue 2 (2000)

• Record Type: Journal Article
• Authors: Johnson, C. D.
• Is Part Of: Mathematical problems in engineering. Volume 6:Issue 2/3(2000)
• Page Start: 99
• Page End: 124
• Publication Date: 2000
• Subjects: Control; Stabilization; Dynamic system; Subspace; LQR; Optimal control; Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/S1024123X00001289
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.