127
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Input–output finite-time stabilisation for periodic piecewise polynomial systems with nonlinear actuator faults: an observer-based approach

ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Pages 3027-3044 | Received 28 Dec 2022, Accepted 02 Oct 2023, Published online: 25 Oct 2023

References

  • Agulhari, C. M., & Pereira, F. H. (2022). Reduced order dynamic controller synthesis conditions for LPV periodic discrete-time systems subject to input saturation. Journal of the Franklin Institute, 359(2), 743–761. https://doi.org/10.1016/j.jfranklin.2020.11.028
  • Chen, M., & Sun, J. (2019). Input-output finite-time reliable static output control of time-varying system with input delay. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(2), 1334–1344. https://doi.org/10.1109/TSMC.2019.2895920
  • Cheng, J., Park, J. H., Cao, J., & Qi, W. (2019). Hidden Markov model-based nonfragile state estimation of switched neural network with probabilistic quantized outputs. IEEE Transactions on Cybernetics, 50(5), 1900–1909. https://doi.org/10.1109/TCYB.2019.2909748
  • Cheng, J., Park, J. H., & Wu, Z. G. (2021). A hidden Markov model based control for periodic systems subject to singular perturbations. Systems & Control Letters, 157, Article 105059. https://doi.org/10.1016/j.sysconle.2021.105059
  • Deng, Z., Li, P., Xing, M., & Zhang, B. (2023). H∞ control of networked periodic piecewise systems under asynchronous switching with input delay. Science China Information Sciences, 66, Article 149201. https://doi.org/10.1007/s11432-020-3195-2
  • Fan, C., Lam, J., & Xie, X. (2020). Fault detection observer design for periodic piecewise linear systems. International Journal of Systems Science, 51(9), 1622–1636. https://doi.org/10.1080/00207721.2020.1772399
  • Fan, C., Lam, J., Xie, X., & Li, P. (2023). Stability and stabilization of almost periodic piecewise linear systems with dwell time uncertainty. IEEE Transactions on Automatic Control, 66(2), 1130–1137. https://doi.org/10.1109/TAC.2022.3146725
  • Fan, C., Lam, J., Xie, X., & Song, X. (2021). Observer-based output reachable set synthesis for periodic piecewise time-varying systems. Information Sciences, 571, 246–261. https://doi.org/10.1016/j.ins.2021.03.031
  • Fang, F., Ding, H., Liu, Y., & Park, J. H. (2021). Fault tolerant sampled-data H∞ control for networked control systems with probabilistic time-varying delay. Information Sciences, 544, 395–414. https://doi.org/10.1016/j.ins.2020.08.063
  • Feng, T., Wu, B., Wang, Y. E., & Chen, Y. (2021). Input-output finite-time stability of switched singular continuous-time systems. International Journal of Control, Automation and Systems, 19(5), 1828–1835. https://doi.org/10.1007/s12555-020-0203-5
  • Ghaffari, V., & Mobayen, S. (2022). 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, Article 106158. https://doi.org/10.1016/j.cnsns.2021.106158
  • Gharesi, N., Arefi, M. M., Khayatian, A., & Bahrami, Z. (2021). Extended state observer-based control of heartbeat described by heterogeneous coupled oscillator model. Communications in Nonlinear Science and Numerical Simulation, 101, Article 105884. https://doi.org/10.1016/j.cnsns.2021.105884
  • Hu, J., Wang, Z., & Gao, H. (2018). Joint state and fault estimation for time-varying nonlinear systems with randomly occurring faults and sensor saturations. Automatica, 97, 150–160. https://doi.org/10.1016/j.automatica.2018.07.027
  • Kaneba, C. M., Mu, X., Li, X., & Wu, X. (2022). Event triggered control for fault tolerant control system with actuator failure and randomly occurring parameter uncertainty. Applied Mathematics and Computation, 415, Article 126714. https://doi.org/10.1016/j.amc.2021.126714
  • Keles, N. A., Agulhari, C. M., & Lacerda, M. J. (2021). Stability analysis and robust performance of periodic discrete-time uncertain systems via structured Lyapunov functions. European Journal of Control, 58, 74–81. https://doi.org/10.1016/j.ejcon.2020.06.006
  • Li, P., Lam, J., Lu, R., & Kwok, K. W. (2018). Stability and L2 synthesis of a class of periodic piecewise time-varying systems. IEEE Transactions on Automatic Control, 64(8), 3378–3384. https://doi.org/10.1109/TAC.2018.2880678
  • Li, P., Li, P., Liu, Y., Bao, H., & Lu, R. (2019). H∞ control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function. Journal of the Franklin Institute, 356(13), 6968–6988. https://doi.org/10.1016/j.jfranklin.2019.06.008
  • Li, P., Liu, Y., Zhang, B., & Lu, R. (2019). Stability analysis problems of periodic piecewise polynomial systems. Journal of the Franklin Institute, 356(16), 9804–9823. https://doi.org/10.1016/j.jfranklin.2019.08.005
  • Li, X., Mu, X., & Yang, Z. (2021). Reliable dissipative control for fuzzy singular semi-markovian jump systems with mode-dependent delays and randomly occurring uncertainties. Journal of the Franklin Institute, 358(5), 2722–2743. https://doi.org/10.1016/j.jfranklin.2021.01.029
  • Li, Z. M., & Chang, X. H. (2018). Robust H∞ control for networked control systems with randomly occurring uncertainties: Observer-based case. ISA Transactions, 83, 13–24. https://doi.org/10.1016/j.isatra.2018.09.006
  • Liu, C., Shi, Y., Meng, Y., & Wang, Y. (2023). Leader-following consensus of multi-agent systems with connectivity-mixed attacks and actuator/sensor faults. Journal of the Franklin Institute, 360(5), 3592–3617. https://doi.org/10.1016/j.jfranklin.2023.01.045
  • Liu, Y., Deng, Z., Li, P., & Zhang, B. (2020). Finite-time non-fragile extended dissipative control of periodic piecewise time-varying systems. IEEE Access, 8, 136512–136523. https://doi.org/10.1109/ACCESS.2020.3011822
  • Liu, Z., Karimi, H. R., & Yu, J. (2020). Passivity-based robust sliding mode synthesis for uncertain delayed stochastic systems via state observer. Automatica, 111, Article 108596. https://doi.org/10.1016/j.automatica.2019.108596
  • Mao, D., & Ma, Y. (2023). Finite-time mixed H∞ and passivity analysis for Takagi-Sugeno fuzzy system with time-varying delays and actuator faults. Communications in Nonlinear Science and Numerical Simulation, 116, Article 106770. https://doi.org/10.1016/j.cnsns.2022.106770
  • Qi, W., Yang, X., Ahn, C. K., Cao, J., & Cheng, J. (2019). Input-output finite-time sliding-mode control for T–S fuzzy systems with application. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(9), 5446–5455. https://doi.org/10.1109/TSMC.2019.2954854
  • Sakthivel, R., Aravinth, N., & Kwon, O. M. (2023). Tracking control design for periodic piecewise polynomial systems with multiple disturbances. International Journal of Robust and Nonlinear Control, 32(16), 8965–8980.
  • Sakthivel, R., Parivallal, A., Kong, F., & Ren, Y. (2023). Bipartite consensus for Takagi-Sugeno fuzzy uncertain multi-agent systems with gain fluctuations. IEEE Transactions on Signal and Information Processing Over Networks, 9, 74–83. https://doi.org/10.1109/TSIPN.2023.3239679
  • Shen, H., Dai, M., Luo, Y., Cao, J., & Chadli, M. (2020). Fault-tolerant fuzzy control for semi-Markov jump nonlinear systems subject to incomplete SMK and actuator failures. IEEE Transactions on Fuzzy Systems, 29(10), 3043–3053. https://doi.org/10.1109/TFUZZ.2020.3011760
  • Shen, H., Xing, M., Wu, Z. G., & Park, J. H. (2020). Fault-tolerant control for fuzzy switched singular systems with persistent dwell-time subject to actuator fault. Fuzzy Sets and Systems, 392, 60–76. https://doi.org/10.1016/j.fss.2019.08.011
  • Slyn'ko, V., & Bivziuk, V. (2021). Stability and stabilization of linear periodic systems: A commutator calculus approach. Automatica, 125, Article 109478. https://doi.org/10.1016/j.automatica.2020.109478
  • Tang, R., Yang, X., Wan, X., Zou, Y., Cheng, Z., & Fardoun, H. M. (2019). Finite-time synchronization of nonidentical BAM discontinuous fuzzy neural networks with delays and impulsive effects via non-chattering quantized control. Communications in Nonlinear Science and Numerical Simulation, 78, Article 104893. https://doi.org/10.1016/j.cnsns.2019.104893
  • Wen, G., Zhai, X., Peng, Z., & Rahmani, A. (2020). Fault-tolerant secure consensus tracking of delayed nonlinear multi-agent systems with deception attacks and uncertain parameters via impulsive control. Communications in Nonlinear Science and Numerical Simulation, 82, Article 105043. https://doi.org/10.1016/j.cnsns.2019.105043
  • Xie, X., Fan, C., Kwok, K. W., & Lam, J. (2020). A Bernstein polynomial approach to estimating reachable set of periodic piecewise polynomial systems. IEEE Transactions on Automatic Control, 66(10), 4812–4819. https://doi.org/10.1109/TAC.2020.3037041
  • Xie, X., Lam, J., & Fan, C. (2018). Robust time-weighted guaranteed cost control of uncertain periodic piecewise linear systems. Information Sciences, 460, 238–253. https://doi.org/10.1016/j.ins.2018.05.052
  • Xie, X., Lam, J., & Kwok, K. W. (2020). A novel scheme of nonfragile controller design for periodic piecewise LTV systems. IEEE Transactions on Industrial Electronics, 67(12), 10766–10775. https://doi.org/10.1109/TIE.41
  • Xie, X., Lam, J., & Li, P. (2017). Finite-time H∞ control of periodic piecewise linear systems. International Journal of Systems Science, 48(11), 2333–2344. https://doi.org/10.1080/00207721.2017.1316884
  • Xie, X., Liu, J. J., & Fan, C. (2021). Comparison of two polynomial approaches in performance analysis for periodic piecewise polynomial systems. Journal of the Franklin Institute, 358(7), 3868–3883. https://doi.org/10.1016/j.jfranklin.2021.02.028
  • Xu, Y., Li, Y., & Li, W. (2020). Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights. Communications in Nonlinear Science and Numerical Simulation, 85, Article 105239. https://doi.org/10.1016/j.cnsns.2020.105239
  • Yan, H., Tian, Y., Li, H., Zhang, H., & Li, Z. (2019). Input-output finite-time mean square stabilization of nonlinear semi-Markovian jump systems. Automatica, 104, 82–89. https://doi.org/10.1016/j.automatica.2019.02.024
  • Yang, L., Gao, Y., Zhao, Y., & Wu, L. (2020). Finite-time control of periodic systems with event-triggering mechanisms. IET Control Theory & Applications, 14(8), 1012–1021. https://doi.org/10.1049/cth2.v14.8
  • Yu, T., Liu, Y., Cao, J., & Alsaadi, F. E. (2023). Finite-time stability of dynamical system under event-triggered hybrid control. Applied Mathematical Modelling, 117, 286–295. https://doi.org/10.1016/j.apm.2022.12.031
  • Zhang, J., & Zhu, F. (2018). Observer-based output consensus of a class of heterogeneous multi-agent systems with unmatched disturbances. Communications in  Nonlinear Science and Numerical Simulation, 56, 240–251. https://doi.org/10.1016/j.cnsns.2017.08.007
  • Zhang, M., Shi, P., Shen, C., & Wu, Z. G. (2019). Static output feedback control of switched nonlinear systems with actuator faults. IEEE Transactions on Fuzzy Systems, 28(8), 1600–1609. https://doi.org/10.1109/TFUZZ.91
  • Zhou, J., & Huang, H. (2020). Stability analysis and stabilization of linear continuous-time periodic systems by variation-of-constant discretization. Journal of the Franklin Institute, 357(5), 2715–2735. https://doi.org/10.1016/j.jfranklin.2019.11.082
  • Zou, L., Wang, J., Shen, B., Dong, H., & Lu, G. (2023). Encrypted finite-horizon energy-to-peak state estimation for time-varying systems under eavesdropping attacks: Tackling secrecy capacity. IEEE/CAA Journal of Automatica Sinica, 10, 985–996. https://doi.org/10.1109/JAS.2023.123393

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.