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Non-fragile h∞ order reduction of LTI controllers

Keyumarsi, S ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1109/LCSYS.2020.3000578
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2021
  4. Abstract:
  5. The eigenvalue perturbation theorem is used to propose a convex fragility criterion with application to control system design. The criterion can be considered as a non-normality measure of the controller state-space matrix. Non-normality of a matrix is defined as its distance to the nearest real normal matrix within a convex normal subspace. Based on the criterion, an H∞ method for the order reduction of linear time-invariant (LTI) controllers is developed which leads to non-fragile reduced order controllers. 2020 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission
  6. Keywords:
  7. Controllers ; Eigenvalues and eigenfunctions ; Controller state ; Eigenvalue perturbation ; Linear time invariant controller ; Non-fragile H ; Non-normality ; Normal matrices ; Order reduction ; Reduced order controllers ; Linear control systems
  8. Source: IEEE Control Systems Letters ; Volume 5, Issue 1 , 2021 , Pages 163-168 ; 24751456 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/9110552