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Peer-reviewedCC BY 4.0Mathematics

Non-Fragile Guaranteed Cost Control for Uncertain Fractional Delay Systems of Variable Order with Time-Varying Control Input Delays: A Possibly Stability Analysis

  • Alireza Alfi1
  • Zahra Sadat Aghayan2
  • António M. Lopes3
  1. 1Faculty of Electrical Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
  2. 2Faculty of Engineering, University of Garmsar, Garmsar 35881-15589, Iran
  3. 3LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal
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Abstract

This work investigates non-fragile guaranteed cost control (NFGCC) of a class of fractional delay systems of variable-order subject to parametric uncertainty and varying control input delay. Adopting fractional-order (FO) Lyapunov theory along with the linear matrix inequality (LMI) technique, sufficient criteria are given for the design of state and output feedback control laws that ensure asymptotic stability and a guaranteed performance level for the controlled system subject to common neutral-type time-varying delay affecting the state, the neutral term, and the control input. These conditions explicitly depend on the upper bound of the common delay and on the FO, which are formulated as LMIs to facilitate computational implementation. Numerical simulations are presented to verify the efficacy of the introduced control strategy.

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Cite

BibTeXRIS
BibTeX
@article{alfi2026nonfragile,
  title = {{Non-Fragile Guaranteed Cost Control for Uncertain Fractional Delay Systems of Variable Order with Time-Varying Control Input Delays: A Possibly Stability Analysis}},
  author = {Alireza Alfi and Zahra Sadat Aghayan and António M. Lopes},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203750},
  url = {https://www.mdpi.com/2227-7390/14/20/3750},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Non-Fragile Guaranteed Cost Control for Uncertain Fractional Delay Systems of Variable Order with Time-Varying Control Input Delays: A Possibly Stability Analysis
AU  - Alireza Alfi
AU  - Zahra Sadat Aghayan
AU  - António M. Lopes
PY  - 2026
DA  - 2026/10/15
JO  - Mathematics
DO  - 10.3390/math14203750
UR  - https://www.mdpi.com/2227-7390/14/20/3750
AB  - This work investigates non-fragile guaranteed cost control (NFGCC) of a class of fractional delay systems of variable-order subject to parametric uncertainty and varying control input delay. Adopting fractional-order (FO) Lyapunov theory along with the linear matrix inequality (LMI) technique, sufficient criteria are given for the design of state and output feedback control laws that ensure asymptotic stability and a guaranteed performance level for the controlled system subject to common neutral-type time-varying delay affecting the state, the neutral term, and the control input. These conditions explicitly depend on the upper bound of the common delay and on the FO, which are formulated as LMIs to facilitate computational implementation. Numerical simulations are presented to verify the efficacy of the introduced control strategy.
SN  - 2227-7390
ER  -