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Research Articles

Robust predictive regulation of uncertain time-delay control systems with non-zero references and disturbances

Pages 2239-2251 | Received 05 Feb 2024, Accepted 09 Apr 2024, Published online: 30 Apr 2024

References

  • Aguiar, C., Leite, D., Pereira, D., Andonovski, G., & Škrjanc, I. (2021). Nonlinear modeling and robust LMI fuzzy control of overhead crane systems. Journal of the Franklin Institute, 358(2), 1376–1402. https://doi.org/10.1016/j.jfranklin.2020.12.003
  • Baneshi, F., Ghaffari, V., & Soler, M. (2023). Non-fragile robust model predictive controller design for uncertain time-delay systems with input constraints. International Journal of Systems Science, 54(6), 1259–1274. https://doi.org/10.1080/00207721.2023.2169060
  • Cao, Y., Lee, S. B., Subramanian, V. R., & Zavala, V. M. (2020). Multiscale model predictive control of battery systems for frequency regulation markets using physics-based models. Journal of Process Control, 90, 46–55. https://doi.org/10.1016/j.jprocont.2020.04.001
  • Coskun, S. (2022). Robust dynamic output-feedback H∞ control for uncertain Takagi–Sugeno time-delay systems. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.7962
  • Deng, Y., Léchappé, V., Moulay, E., Chen, Z., Liang, B., Plestan, F., & Han, Q. L. (2022). Predictor-based control of time-delay systems: A survey. International Journal of Systems Science, 53(12), 2496–2534. https://doi.org/10.1080/00207721.2022.2056654
  • Dong, L., & Wei, F. (2022). Predictive control strategy for multi-agent relay tracking systems with time delays. Transactions of the Institute of Measurement and Control, 44(1), 245–256. https://doi.org/10.1177/01423312211029524
  • Dong, Y., Liang, S., & Wang, H. (2019). Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay. Mathematical Methods in the Applied Sciences, 42(6), 1999–2015. https://doi.org/10.1002/mma.5493
  • Ghaffari, V. (2020). A model predictive scheme to integral controller design for uncertain LTI systems with nonzero reference. ISA Transactions, 102, 43–55. https://doi.org/10.1016/j.isatra.2020.03.009
  • Ghaffari, V. (2022b). A robust predictive observer-based integral control law for uncertain LTI systems under external disturbance. Journal of the Franklin Institute, 359(13), 6915–6938. https://doi.org/10.1016/j.jfranklin.2022.06.037
  • Ghaffari, V. (2024). Robust ultimately boundedness control of uncertain delayed systems under time-varying reference and external disturbance. ISA Transactions, 146, 114–126. https://doi.org/10.1016/j.isatra.2023.12.028
  • Ghaffari, V., & Mobayen, S. (2022a). Robust H∞ integral controller design for regulation problem of uncertain nonlinear systems with non-zero set-point. Communications in Nonlinear Science and Numerical Simulation, 107, 106158. https://doi.org/10.1016/j.cnsns.2021.106158
  • Ghaffari, V., Mobayen, S., ud Din, S., Rojsiraphisal, T., & Vu, M. T. (2022c). Robust tracking composite nonlinear feedback controller design for time-delay uncertain systems in the presence of input saturation. ISA Transactions, 129, 88–99. https://doi.org/10.1016/j.isatra.2022.02.029
  • Gonzalez, A., & Leyris, J. (1996). Application of generalized predictive control in MIMO systems to greenhouse climate regulation. International Journal of Systems Science, 27(1), 27–32. https://doi.org/10.1080/00207729608929186
  • González Sorribes, A., & García Gil, P. (2021). A novel observer-predictor control for uncertain systems with unknown time-varying input and output delays. International Journal of Control, 94(6), 1630–1640. https://doi.org/10.1080/00207179.2019.1662488
  • Hu, S., & Liu, Y. (2004). Robust H∞ control of multiple time-delay uncertain nonlinear system using fuzzy model and adaptive neural network. Fuzzy Sets and Systems, 146(3), 403–420. https://doi.org/10.1016/j.fss.2003.09.009
  • Jin, C.-L., Li, L.-L., Wang, R., & Wang, Q.-G. (2021). Output regulation for stochastic delay systems under asynchronous switching with dissipativity. International Journal of Control, 94(2), 548–557. https://doi.org/10.1080/00207179.2019.1600030
  • Ke, C., & Song, X. (2021). An LMI based approach to stabilize a type of nonlinear uncertain neutral-type delay systems. International Journal of Dynamics and Control, 9(3), 1188–1196. https://doi.org/10.1007/s40435-020-00701-3
  • Khan, O., Mustafa, G., Khan, A. Q., Abid, M., & Ali, M. (2021). Fault-tolerant robust model-predictive control of uncertain time-delay systems subject to disturbances. IEEE Transactions on Industrial Electronics, 68(11), 11400–11408. https://doi.org/10.1109/TIE.2020.3029469
  • Kong, Y., Zhao, D., Yang, B., Han, C., & Han, K. (2015). Robust non-fragile H∞/L2−L∞ control of uncertain linear system with time-delay and application to vehicle active suspension. International Journal of Robust and Nonlinear Control, 25(13), 2122–2141. https://doi.org/10.1002/rnc.3196
  • Lan, J., & Zhao, D. (2021). Robust model predictive control for nonlinear parameter varying systems without computational delay. International Journal of Robust and Nonlinear Control, 31(17), 8273–8294. https://doi.org/10.1002/rnc.5235
  • Lhachemi, H., Prieur, C., & Shorten, R. (2019). An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays. Automatica, 109, 108551. https://doi.org/10.1016/j.automatica.2019.108551
  • Li, H., Xu, J., & Zhang, H. (2020b). Linear quadratic regulation for discrete-time systems with input delay and colored multiplicative noise. Systems & Control Letters, 143, 104740. https://doi.org/10.1016/j.sysconle.2020.104740
  • Li, K., Hua, C., & Guan, X. (2020a). Global output feedback regulation of nonlinear time delay systems subject to sensor measurement faults. International Journal of Robust and Nonlinear Control, 30(6), 2292–2303. https://doi.org/10.1002/rnc.4873
  • Li, M., She, J., Zhang, C.-K., Liu, Z.-T., Wu, M., & Ohyama, Y. (2021). Active disturbance rejection for time-varying state-delay systems based on equivalent-input-disturbance approach. ISA Transactions, 108, 69–77. https://doi.org/10.1016/j.isatra.2020.09.001
  • Li, Z., Cao, G., Xie, W., Gao, R., & Zhang, W. (2023). Switched-observer-based adaptive neural networks tracking control for switched nonlinear time-delay systems with actuator saturation. Information Sciences, 621, 36–57. https://doi.org/10.1016/j.ins.2022.11.094
  • Liu, G., Park, J. H., Xu, H., & Hua, C. (2023). Reduced-order observer-based output-feedback tracking control for nonlinear time-delay systems with global prescribed performance. IEEE Transactions on Cybernetics, 53(9), 5560–5571. https://doi.org/10.1109/TCYB.2022.3158932
  • Meng, G.-Z., & Ma, K.-M. (2020). Output regulation for a class of uncertain nonlinear time-delay systems by output feedback control. International Journal of Control, Automation and Systems, 18(4), 867–876. https://doi.org/10.1007/s12555-018-0896-x
  • Nian, X., Sun, Z., Wang, H., Zhang, H., & Wang, X. (2013). Bilinear matrix inequality approaches to robust guaranteed cost control for uncertain discrete-time delay system. Optimal Control Applications and Methods, 34(4), 433–441. https://doi.org/10.1002/oca.2029
  • Pan, S., Ye, Z., & Zhou, J. (2019). H∞ robust control based on event-triggered sampling for hybrid systems with singular Markovian jump. Mathematical Methods in the Applied Sciences, 42(3), 790–805. https://doi.org/10.1002/mma.5380
  • Park, B., Kim, J. W., & Lee, J. M. (2023). Data-driven model predictive control design for offset-free tracking of nonlinear systems. International Journal of Control, 96(6), 1408–1423. https://doi.org/10.1080/00207179.2022.2051074
  • Parlakci, M. N. A., & Jafarov, E. M. (2021). A robust delay-dependent guaranteed cost PID multivariable output feedback controller design for time-varying delayed systems: An LMI optimization approach. European Journal of Control, 61, 68–79. https://doi.org/10.1016/j.ejcon.2021.06.003
  • Saravanakumar, R., Kazemy, A., & Cao, Y. (2022). Robust reliable H∞ control for offshore steel jacket platforms via memory sampled-data strategy. Mathematical Methods in the Applied Sciences, 1–13. https://doi.org/10.1002/mma.8390
  • Sheng, Z., Ma, Q., & Xu, S. (2021). Sampled-data practical tracking control for nonlinear time-delay systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 69(3), 1272–1276.
  • Shokri-Ghaleh, H., Ganjefar, S., & Shahri, A. M. (2021). Robust iterative learning control for uncertain continuous-time system with input delay and random iteration-varying uncertainties. IET Control Theory & Applications, 15(13), 1749–1761. https://doi.org/10.1049/cth2.12156
  • Suraj Nandiganahalli, J., Kwon, C., & Hwang, I. (2020). Prediction-based adaptive robust tracking control of an uncertain first-order time-delay system. Asian Journal of Control, 22(1), 584–589. https://doi.org/10.1002/asjc.1857
  • Wang, B., Chen, W., Zhang, B., & Zhao, Y. (2019). Regulation cooperative control for heterogeneous uncertain chaotic systems with time delay: A synchronization errors estimation framework. Automatica, 108, 108486. https://doi.org/10.1016/j.automatica.2019.06.038
  • Wang, X., Li, S., Tang, T., & Yang, L. (2022). Event-triggered predictive control for automatic train regulation and passenger flow in metro rail systems. IEEE Transactions on Intelligent Transportation Systems, 23(3), 1782–1795. https://doi.org/10.1109/TITS.2020.3026755
  • Wang, Y.-W., Liu, A., Zhang, W.-A., & Wu, M. (2022). Synchronization tracking control of networked multi-axis motion systems: A cooperative distributed model predictive control approach. Control Engineering Practice, 126, 105233. https://doi.org/10.1016/j.conengprac.2022.105233
  • Wei, Y., & Lin, Z. (2019). Regulation of linear input delayed systems without delay knowledge. SIAM Journal on Control and Optimization, 57(2), 999–1022. https://doi.org/10.1137/18M1196443
  • Xia, Y., Qiu, J., Zhang, J., Gao, Z., & Wang, J. (2008). Delay-dependent robust H∞ control for uncertain stochastic time-delay system. International Journal of Systems Science, 39(12), 1139–1152. https://doi.org/10.1080/00207720802088256
  • Yan, H.-S., & Duan, Z.-Y. (2021). Tube-based model predictive control using multidimensional Taylor network for nonlinear time-delay systems. IEEE Transactions on Automatic Control, 66(5), 2099–2114. https://doi.org/10.1109/TAC.2020.3005674
  • Yan, H.-S., & Kang, A.-M. (2020). Tracking control and dynamic regulation of time-varying delay nonlinear systems with actuator saturation via multi-dimensional Taylor networks. Journal of the Franklin Institute, 357(8), 4759–4778. https://doi.org/10.1016/j.jfranklin.2020.02.018
  • Zare, I., Setoodeh, P., & Asemani, M. H. (2021). TS fuzzy tracking control of nonlinear constrained time-delay systems using a reference-management approach. Journal of the Franklin Institute, 358(18), 9510–9541. https://doi.org/10.1016/j.jfranklin.2021.09.029
  • Zhan, X.-S., Cheng, L.-L., Wu, J., & Yan, H.-C. (2019). Modified tracking performance limitation of networked time-delay systems with two-channel constraints. Journal of the Franklin Institute, 356(12), 6401–6418. https://doi.org/10.1016/j.jfranklin.2018.11.049
  • Zhu, Z.-Y., Zhao, Z.-S., Zhang, J., Wang, R.-K., & Li, Z. (2020). Adaptive fuzzy control design for synchronization of chaotic time-delay system. Information Sciences, 535, 225–241. https://doi.org/10.1016/j.ins.2020.05.056

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