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Direct synthesis of fixed-order multi-objective controllers

Abdolahi, A ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1002/oca.2574
  3. Publisher: John Wiley and Sons Ltd , 2020
  4. Abstract:
  5. This paper introduces a new methodology for the design of fixed-order multi-objective output feedback controllers. The problem comprises a set of linear matrix inequalities and an additional rank constraint. The primary idea is to classify convex subsets of the set of rank constrained matrices in such formulations, based on which two noniterative and relatively fast methods are developed. The proposed methods require solving a convex optimization problem at each step and can be applied with any weighted summation of design objectives such as (Formula presented.) performance, (Formula presented.) performance, passivity, and regional pole assignment. Several benchmark systems with performance criteria including H∞, mixed H2/H∞, and pole placement are used to demonstrate a marked improvement in comparison to the existing methods. © 2020 John Wiley & Sons, Ltd
  6. Keywords:
  7. Fixed-order control ; Linear matrix inequality ; Rank constraint ; Benchmarking ; Controllers ; Convex optimization ; Poles ; Robustness (control systems) ; Convex optimization problems ; Fixed-order ; Multi-objective control ; Output feedback controller ; Performance criterion ; Rank constraints ; Regional pole assignment ; Weighted summations ; Linear matrix inequalities
  8. Source: Optimal Control Applications and Methods ; Volume 41, Issue 3 , 2020 , Pages 849-865
  9. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/oca.2574