On the existence of Equivalent-Input-Disturbance and multiple integral augmentation via H-Infinity Synthesis for unmatched systems

Kürkçü B., Kasnakoğlu C., Efe M. Ö., Su R.

ISA TRANSACTIONS, vol.131, pp.299-310, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 131
  • Publication Date: 2022
  • Doi Number: 10.1016/j.isatra.2022.04.044
  • Journal Name: ISA TRANSACTIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, EMBASE, INSPEC, MEDLINE
  • Page Numbers: pp.299-310
  • Keywords: Matched, Unmatched disturbances, MIMO disturbance observer, H?-Synthesis, Multiple integral augmentation, Hamiltonian matrices
  • Hacettepe University Affiliated: Yes


In this paper, the existence of a solution for the transformation of the disturbances from the unmatched cases to the matched one is investigated. The usage of matched/unmatched disturbance notions and the underlying assumptions are clarified. Then, a simplified definition is introduced to obtain a set of performance metrics to be used in observer design. Using bilinear pole shifting and multiple integral augmentation to the plant, not only the stabilizability/detectability conditions but also infinity-norm bounds for unstable MIMO systems are derived. Then, the solvability of the augmented Hamiltonian matrices to get stabilizing solutions via standard H InfinityH∞" role="presentation" >-Synthesis is explained. Finally, the solutions, definitions, and assumptions are validated through numerical examples.