New results in subspace-stabilization control theory
<p>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 pr...
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Hindawi Limited
2000-01-01
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| Series: | Mathematical Problems in Engineering |
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| Online Access: | http://www.hindawi.net/access/get.aspx?journal=mpe&volume=6&pii=S1024123X00001289 |
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doaj-6154da84d3554d39a88351d6bb43381f2020-11-24T23:47:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472000-01-0162-399124New results in subspace-stabilization control theoryJohnson C. D.<p>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.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=6&pii=S1024123X00001289Control; Stabilization; Dynamic system; Subspace; LQR; Optimal control |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Johnson C. D. |
| spellingShingle |
Johnson C. D. New results in subspace-stabilization control theory Mathematical Problems in Engineering Control; Stabilization; Dynamic system; Subspace; LQR; Optimal control |
| author_facet |
Johnson C. D. |
| author_sort |
Johnson C. D. |
| title |
New results in subspace-stabilization control theory |
| title_short |
New results in subspace-stabilization control theory |
| title_full |
New results in subspace-stabilization control theory |
| title_fullStr |
New results in subspace-stabilization control theory |
| title_full_unstemmed |
New results in subspace-stabilization control theory |
| title_sort |
new results in subspace-stabilization control theory |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2000-01-01 |
| description |
<p>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.</p> |
| topic |
Control; Stabilization; Dynamic system; Subspace; LQR; Optimal control |
| url |
http://www.hindawi.net/access/get.aspx?journal=mpe&volume=6&pii=S1024123X00001289 |
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AT johnsoncd newresultsinsubspacestabilizationcontroltheory |
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