New results in subspace-stabilization control theory
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 pap...
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| Format: | Article |
| Language: | English |
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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://dx.doi.org/10.1155/S1024123X00001289 |
| 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. |
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| ISSN: | 1024-123X 1563-5147 |