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Research Articles

Anti-windup scheme-based control for fractional-order systems subject to actuator and sensor saturation

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Pages 485-508 | Received 19 Apr 2023, Accepted 05 Dec 2023, Published online: 22 Dec 2023

References

  • Aghayan, Z. S., A. Alfi, and J. T. Machado. 2021. “LMI-based Stability Analysis of Fractional Order Systems of Neutral Type with Time Varying Delays Under Actuator Saturation.” Computational and Applied Mathematics 40 (4): 142. https://doi.org/10.1007/s40314-021-01522-6.
  • Aghayan, Z. S., A. Alfi, Y. Mousavi, I. B. Kucukdemiral, and A. Fekih. 2022. “Guaranteed Cost Robust Output Feedback Control Design for Fractional-order Uncertain Neutral Delay Systems.” Chaos, Solitons & Fractals 163:112523. https://doi.org/10.1016/j.chaos.2022.112523.
  • Badri, P., and M. Sojoodi. 2019. “Robust Stabilisation of Fractional-order Interval Systems Via Dynamic Output Feedback: An LMI Approach.” International Journal of Systems Science 50 (9): 1718–1730. https://doi.org/10.1080/00207721.2019.1622817.
  • Badri, P., M. Sojoodi, and E. Zavvari. 2021. “Dynamic Robust Stabilization of Fractional-order Linear Systems with Nonlinear Uncertain Parameters: An LMI Approach.” International Journal of General Systems 50 (4): 434–457. https://doi.org/10.1080/03081079.2021.1907365.
  • Chen, B., and J. Chen. 2015. “Razumikhin-type Stability Theorems for Functional Fractional-order Differential Systems and Applications.” Applied Mathematics and Computation 254:63–69. https://doi.org/10.1016/j.amc.2014.12.010.
  • Chen, L., H. Yin, R. Wu, L. Yin, and Y. Chen. 2019. “Robust Dissipativity and Dissipation of a Class of Fractional–order Uncertain Linear Systems.” IET Control Theory & Applications 13 (10): 1454–1465. https://doi.org/10.1049/iet-cta.2018.5745.
  • Di, Y., J. X. Zhang, and X. Zhang. 2023. “Robust Stabilization of Descriptor Fractional-order Interval Systems with Uncertain Derivative Matrices.” Applied Mathematics and Computation 453:128076. https://doi.org/10.1016/j.amc.2023.128076.
  • Garcia, G., S. Tarbouriech, J. G. Da Silva, and D. Eckhard. 2009. “Finite L2 Gain and Internal Stabilisation of Linear Systems Subject to Actuator and Sensor Saturations.” IET Control Theory & Applications 3 (7): 799–812. https://doi.org/10.1049/iet-cta.2008.0221.
  • Huang, S. J., and G. H. Yang. 2016. “Non-fragile H∞ Dynamic Output Feedback Control for Uncertain Takagi–Sugeno Fuzzy Systems with Time-varying Delay.” International Journal of Systems Science 47 (12): 2954–2964. https://doi.org/10.1080/00207721.2015.1053829.
  • Hussain, M., M. Rehan, C. K. Ahn, and Z. Zheng. 2019. “Static Anti-windup Compensator Design for Nonlinear Time-delay Systems Subjected to Input Saturation.” Nonlinear Dynamics 95 (3): 1879–1901. https://doi.org/10.1007/s11071-018-4666-3.
  • Jin, X. C., J. G. Lu, and Q. H. Zhang. 2023. “Novel Stability and Stabilization Conditions of Linear Fractional-order Time-Delay Systems Using Free Matrix Approach.” IEEE Transactions on Circuits and Systems II: Express Briefs 70 (7): 2415–2419. https://doi.org/10.1109/TCSII.2023.3237563.
  • Lamrabet, O., E. H. Tissir, and F. El Haoussi. 2019. “Anti-windup Compensator Synthesis for Sampled-data Delay Systems.” Circuits, Systems, and Signal Processing 38 (5): 2055–2071. https://doi.org/10.1007/s00034-018-0971-9.
  • Li, L., and Y. Jia. 2009. “Non-fragile Dynamic Output Feedback Control for Linear Systems with Time-varying Delay.” IET Control Theory & Applications 3 (8): 995–1005. https://doi.org/10.1049/iet-cta.2008.0008.
  • Li, M., M. Liu, and Y. Zhang. 2020. “Asynchronous Adaptive Dynamic Output Feedback Sliding Mode Control for Singular Markovian Jump Systems with Actuator Faults and Uncertain Transition Rates.” Applied Mathematics and Computation 371:124958. https://doi.org/10.1016/j.amc.2019.124958.
  • Li, H., and G. H. Yang. 2019. “Dynamic Output Feedback H∞ Control for Fractional-order Linear Uncertain Systems with Actuator Faults.” Journal of the Franklin Institute 356 (8): 4442–4466. https://doi.org/10.1016/j.jfranklin.2019.04.004.
  • Li, B., and X. Zhao. 2023. “Robust H∞ Control for Fractional Order Singular Systems 0<α<1 with Uncertainty.” Optimal Control Applications and Methods 44 (1): 332–348. https://doi.org/10.1002/oca.2939.
  • Lu, J. G., Z. Zhu, and Y. D. Ma. 2021. “Robust Stability and Stabilization of Multi–order Fractional–order Systems with Interval Uncertainties: An LMI Approach.” International Journal of Robust and Nonlinear Control 31 (9): 4081–4099. https://doi.org/10.1002/rnc.5457.
  • Rhaima, M., L. Mchiri, N. H. Taieb, M. A. Hammami, and A. B. Makhlouf. 2023. “Practical Stability of Fractional-order Nonlinear Fuzzy Systems.” International Journal of General Systems 52 (7): 864–875. https://doi.org/10.1080/03081079.2023.2219825.
  • Tan, Y., M. Xiong, D. Du, and S. Fei. 2019. “Observer-based Robust Control for Fractional-order Nonlinear Uncertain Systems with Input Saturation and Measurement Quantization.” Nonlinear Analysis: Hybrid Systems 34:45–57. https://doi.org/10.1016/j.nahs.2019.05.002.
  • Tarbouriech, S., and G. Garcia. 2005. “Preliminary Results About Anti-windup Strategy for Systems Subject to Actuator and Sensor Saturations.” IFAC Proceedings Volumes 38 (1): 216–221. https://doi.org/10.3182/20050703-6-CZ-1902.00690.
  • Tarbouriech, S., C. Prieur, and J. M. G. da Silva. 2006. “Stability Analysis and Stabilization of Systems Presenting Nested Saturations.” IEEE Transactions on Automatic Control 51 (8): 1364–1371. https://doi.org/10.1109/TAC.2006.878743.
  • Thi Hong, D., N. Huu Sau, and M. Viet Thuan. 2022. “Output Feedback Finite–time Dissipative Control for Uncertain Nonlinear Fractional–order Systems.” Asian Journal of Control 24 (5): 2284–2293. https://doi.org/10.1002/asjc.2643.
  • Thuan, M. V., and D. C. Huong. 2018. “New Results on Stabilization of Fractional–order Nonlinear Systems Via An LMI Approach.” Asian Journal of Control 20 (4): 1541–1550. https://doi.org/10.1002/asjc.1644.
  • Wang, Z., D. W. Ho, H. Dong, and H. Gao. 2010. “Robust H∞ Finite-Horizon Control for a Class of Stochastic Nonlinear Time-Varying Systems Subject to Sensor and Actuator Saturations.” IEEE Transactions on Automatic Control 55 (7): 1716–1722. https://doi.org/10.1109/TAC.2010.2047033.
  • Wang, J. S., and G. H. Yang. 2016. “Data-driven Output-feedback Fault-tolerant Control for Unknown Dynamic Systems with Faults Changing System Dynamics.” Journal of Process Control 43:10–23. https://doi.org/10.1016/j.jprocont.2016.04.004.
  • Wang, C., X. Zhou, X. Shi, and Y. Jin. 2022. “Delay-dependent and Order-dependent LMI-based Sliding Mode H Control for Variable Fractional Order Uncertain Differential Systems with Time-varying Delay and External Disturbance.” Journal of the Franklin Institute 359 (15): 7893–7912. https://doi.org/10.1016/j.jfranklin.2022.08.013.
  • Ye, Y., and H. Su. 2019. “Consensus of Delayed Fractional-order Multiagent Systems with Intermittent Sampled Data.” IEEE Transactions on Industrial Informatics 16 (6): 3828–3837. https://doi.org/10.1109/TII.2019.2930307.
  • Zhang, X., and J. Dong. 2020. “LMI Criteria for Admissibility and Robust Stabilization of Singular Fractional-order Systems Possessing Poly-topic Uncertainties.” Fractal and Fractional 4 (4): 58. https://doi.org/10.3390/fractalfract4040058.
  • Zhang, S., L. Liu, and X. Cui. 2019. “LMI-based Stability of Nonlinear Non-autonomous Fractional-order Systems with Multiple Time Delays.” IEEE Access 7:12016–12026. https://doi.org/10.1109/ACCESS.2019.2891732.
  • Zhang, X., J. X. Zhang, W. Huang, and P. Shi. 2023. “Non-fragile Sliding Mode Observer Based Fault Estimation for Interval Type-2 Fuzzy Singular Fractional Order Systems.” International Journal of Systems Science 54 (7): 1451–1470. https://doi.org/10.1080/00207721.2023.2177904.
  • Zuo, Z., Q. Luo, and Y. Wang. 2017. “Stabilization of Linear Systems with Direct Feedthrough Term in the Presence of Output Saturation.” Automatica 77:254–258. https://doi.org/10.1016/j.automatica.2016.11.045.

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