Prathap, Gangan and Ramesh Babu, C (1985) *Robust Eigensystem assignment in multi-input systems.* Technical Report. National Aerospace Laboratories, Bangalore, India.

## Abstract

Using simple geometric concepts it is shown that system sensitivity to parameter perturbation stems from the numerical illconditioning of the normalized modal matrix (matrix of eigenvectors) to inversion, which is quantified by the absolute value of its determinant. By noting the freedom in partial election of eigenvectors, beyond eigenvalue assignment in multi-input state feedback systems, an optimization procedure is formulated to maximize the modal matrix determinant and thus minimize eigensystem sensitivity. (Author)

Item Type: | Proj.Doc/Technical Report (Technical Report) |
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Uncontrolled Keywords: | Eigenvectors;Feedback control;Inversions;Pertubration; Roboutness (mathematics);Cartesian coordinates;Matrices (mathematics);Orthonormal functions |

Subjects: | MATHEMATICAL AND COMPUTER SCIENCES > Systems analysis and Operations Research |

Division/Department: | Structures Division, Structures Division |

Depositing User: | M/S ICAST NAL |

Date Deposited: | 11 Aug 2008 |

Last Modified: | 02 Sep 2015 13:58 |

URI: | http://nal-ir.nal.res.in/id/eprint/3260 |

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