Loading...

Direct synthesis of fixed-order h∞ controllers

Babazadeh, M ; Sharif University of Technology | 2015

935 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/TAC.2015.2461832
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2015
  4. Abstract:
  5. This technical note considers the fixed-order H∞ output feedback control design problem for linear time invariant (LTI)systems. The objective is to design a fixed-order controller with guaranteed stability and closed-loop H∞ performance. This problem is NP-hard due to the non-convex rank constraint which appears in the formulation. We propose an algorithm for non-iterative direct synthesis (NODS) of reduced order robust controllers. NODS entails initial computation of two positive-definite matrices via full-order convex LMI conditions. These are then utilized by appropriate eigenvalue decomposition to directly obtain a suboptimal convex formulation for the fixed-order controller
  6. Keywords:
  7. H∞ performance ; Linear matrix inequality (LMI) ; Low-order control ; Rank constraint ; Control equipment ; Eigenvalues and eigenfunctions ; Iterative methods ; Linear control systems ; Matrix algebra ; Robust control ; Synthesis (chemical) ; Eigenvalue decomposition ; Fixed-order controller ; Linear time-invariant system ; Low order ; Output feedback controls ; Positive-definite matrices ; Reduced-order robust controllers ; Controllers
  8. Source: IEEE Transactions on Automatic Control ; Volume 60, Issue 10 , July , 2015 , Pages 2704-2709 ; 00189286 (ISSN)
  9. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7172490