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Nondifferentiable design optimization involving the eigenvalues of control system matrices

  • Nedyalko I. Krushev
III Optimal Control III.1 Control Problems
  • 104 Downloads
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 180)

Abstract

The designer of linear dynamic systems is always concerned with their eigenvalues because of such important issues as stability, reaction speed, robustness etc. Mathematical programming has proved to be a powerful instrument for control systems design. Requirements upon eigenvalues can also be formulated as part of the design optimization problem. This paper presents a nondifferentiable approach for solving such problems. It considers the general case when the system matrices are non-symmetric. The approach is based on the numerical calculation of the Jordan canonical form and on the generalized gradients of F.Clarke. An algorithm was developed and implemented. Finally, some control systems design examples illustrate the features of the considered problems and approaches.

Keywords

Descent Direction Control System Design Design Optimization Problem Elementary Divisor Multiple Eigenvalue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© International Federation for Information Processing 1992

Authors and Affiliations

  • Nedyalko I. Krushev
    • 1
  1. 1.Institute of Applied Mathematics and Computer ScienceTechnical University of SofiaSofia

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