Parametric state-feedback control with model reduction

Owens, Tom

doi:10.1080/00207178808906097

Cited by 8 publications

(3 citation statements)

References 8 publications

(1 reference statement)

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“…Notably, substantial effort has surrounded expressing this available design freedom in terms of parameterizations of the achievable gain matrices (O'Reilly and Fahmy 1985). This style of approach facilitates access to the freedom beyond eigenvalue assignment via a set of independent parameter vectors, allowing general performance criteria to be fulfilled, often via optimization (Owens 1987, Owens and O'Reilly 1987. Early parameterization approaches assumed no common open and closed loop eigenvalues O'Reilly 1982, Roppenecker 1983), a restriction which was later removed by Fahmy and Tantawy (1984) and then Roppenecker (1986).…”

Section: Introductionmentioning

confidence: 98%

A polynomial approach to eigenstructure assignment using projection with eigenvalue trade-off

Clarke

Griffin²,

Ensor

2003

International Journal of Control

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A novel eigenstructure assignment method is presented which trades exact closed loop eigenvalue location against an improvement in the associated closed loop eigenvector match against membership of a desired set via either constrained or unconstrained optimizations. The polynomial approach removes the dependence of the cost functions on the closed loop eigenvector by describing the allowable desired eigenvector subspace as a function of the eigenvalue location. A fixed-wing aircraft example is used to demonstrates the benefit of eigenvalue trade-off over basic projection.

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Section: Introductionmentioning

confidence: 98%

A polynomial approach to eigenstructure assignment using projection with eigenvalue trade-off

Clarke

Griffin²,

Ensor

2003

International Journal of Control

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“…The degrees of freedom provided by parametric eigenstructure assignment may be used to achieve some desired system specifications. Such an idea has resulted in many applications of parametric eigenstructure assignment ( [1], and [13][14][15][16]). pole assignment in descriptor linear systems via state feedback control.…”

Section: Introductionmentioning

confidence: 99%

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Duan

Lam

2000

IFAC Proceedings Volumes

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Section: Introductionmentioning

confidence: 99%

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Duan

Lamy

Liu

2004

Asian Journal of Control

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Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust eigenvalue assignment problem in descriptor linear systems via output feedback is solved. The problem aims to assign a set of finite closed-loop eigenvalues which have minimum sensitivities with respect to perturbations in the closed-loop coefficient matrices, while at the same time, guarantee the closed-loop regularity. The approach optimizes the design parameters existing in the closed-loop eigenvectors to achieve the minimum eigenvalue sensitivities, and use the extra degree of freedom existing in the solution of the gain matrix to further minimize the magnitude of the gain matrix and enhance the robustness of the closed-loop regularity. The approach allows the finite closed-loop eigenvalues to be optimized within desired regions, and is demonstrated to be simple and effective.

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Parametric state-feedback control with model reduction

Cited by 8 publications

References 8 publications

A polynomial approach to eigenstructure assignment using projection with eigenvalue trade-off

A polynomial approach to eigenstructure assignment using projection with eigenvalue trade-off

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

Robust Eigenvalue Assignment in Descriptor Systems via Output Feedback

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