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Articles

Output-feedback control for discrete-time switched systems via non-monotonic switched Lyapunov function approach

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Pages 293-301 | Received 30 Jul 2022, Accepted 21 Nov 2022, Published online: 07 Dec 2022

References

  • Ahmadi, A. A., & Parrilo, P. A. (2008). Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems. In 2008 47th IEEE conference on decision and control (pp. 614–621). IEEE.
  • Alwan, M. S., & Liu, X. (2016). Recent results on stochastic hybrid dynamical systems. Journal of Control and Decision, 3(1), 68–103. https://doi.org/10.1080/23307706.2016.1143787
  • Chen, Y. J., Tanaka, M., Inoue, K., Ohtake, H., Tanaka, K., Guerra, T. M., Kruszewski, A., & Wang, H. O. (2014). A non-monotonically decreasing relaxation approach of Lyapunov functions to guaranteed cost control for discrete fuzzy systems. IET Control Theory & Applications, 8(16), 1716–1722. https://doi.org/10.1049/cth2.v8.16
  • Cheng, H., Dong, C., Wang, Q., & Jiang, W. (2018). Smooth switching linear parameter-varying fault detection filter design for morphing aircraft with asynchronous switching. Transactions of the Institute of Measurement and Control, 40(8), 2622–2638. https://doi.org/10.1177/0142331217708238
  • Cheng, J., Park, J. H., Zhao, X., Cao, J., & Qi, W. (2019). Static output-feedback control of switched systems with quantization: a nonhomogeneous sojourn probability approach. International Journal of Robust and Nonlinear Control, 29(17), 5992–6005. https://doi.org/10.1002/rnc.v29.17
  • Daafouz, J., Riedinger, P., & Iung, C. (2002). Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Transactions on Automatic Control, 47(11), 1883–1887. https://doi.org/10.1109/TAC.2002.804474
  • Deaecto, G. S., Geromel, J. C., & Daafouz, J. (2011). Dynamic output-feedback H∞ control of switched linear systems. Automatica, 47(8), 1713–1720. https://doi.org/10.1016/j.automatica.2011.02.046
  • Derakhshan, S. F., & Fatehi, A. (2014). Non-monotonic Lyapunov functions for stability analysis and stabilization of discrete time Takagi–Sugeno fuzzy systems. International Journal of Innovative Computing, Information & Control, 10(4), 1567–1586. https://doi.org/10.1080/00207721.2013.854941
  • Derakhshan, S. F., & Fatehi, A. (2015). Non-monotonic robust H2 fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties. International Journal of Systems Science, 46(12), 2134–2149. https://doi.org/10.1080/00207721.2013.854941
  • Derakhshan, S. F., Fatehi, A., & Sharabiany, M. G. (2014). Non-monotonic observer-based fuzzy controller designs for discrete time T–S fuzzy systems via LMI. IEEE Transactions on Cybernetics, 44(12), 2557–2567. https://doi.org/10.1109/TCYB.2014.2310591
  • Du, D., Jiang, B., Shi, P., & Zhou, S. (2007). H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach. IEEE Transactions on Automatic Control, 52(8), 1520–1525. https://doi.org/10.1109/TAC.2007.902777
  • Geromel, J. C., Colaneri, P., & Bolzern, P. (2008). Dynamic output-feedback control of switched linear systems. IEEE Transactions on Automatic Control, 53(3), 720–733. https://doi.org/10.1109/TAC.2008.919860
  • Jiang, B., Shen, Q., & Shi, P. (2015). Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica, 61, 119–125. https://doi.org/10.1016/j.automatica.2015.08.001
  • Jiang, Z., & Yan, P. (2018). H∞ output-feedback control for discrete-time switched linear systems via asynchronous switching. Journal of the Franklin Institute, 355(14), 6215–6238. https://doi.org/10.1016/j.jfranklin.2018.06.004
  • Leontaritis, I., & Billings, S. A. (1985). Input–output parametric models for nonlinear systems. Part I: Deterministic nonlinear systems. International Journal of Control, 41(2), 303–328. https://doi.org/10.1080/0020718508961129
  • Li, J. (2022). Time-varying output-feedback H∞ control for switched systems based on mixed switching. Journal of Control and Decision, 9(3), 364–371. https://doi.org/10.1080/23307706.2021.2015465
  • Liberzon, D. (2003). Switching in systems and control. Springer.
  • Liberzon, D., & Morse, A. S. (1999). Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5), 59–70. https://doi.org/10.1109/37.793443
  • Lin, W., & Li, X. (1999). Synthesis of upper-triangular nonlinear systems with marginally unstable free dynamics using state-dependent saturation. International Journal of Control, 72(12), 1078–1086. https://doi.org/10.1080/002071799220434
  • Nasiri, A., Nguang, S. K., Swain, A., & Almakhles, D. J. (2016). Robust output-feedback controller design of discrete-time Takagi-Sugeno fuzzy systems: a non-monotonic Lyapunov approach. IET Control Theory & Applications, 10(5), 545–553. https://doi.org/10.1049/cth2.v10.5
  • Nasiri, A., Nguang, S. K., Swain, A., & Almakhles, D. J. (2017). Reducing conservatism in an H∞ robust state-feedback control design of T-S fuzzy systems: A non-monotonic approach. IEEE Transactions on Fuzzy Systems, 26(1), 386–390. https://doi.org/10.1109/TFUZZ.2017.2649580
  • Ohtake, H., Tanaka, K., & Wang, H. O. (2006). Switching fuzzy controller design based on switching Lyapunov function for a class of nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 36(1), 13–23. https://doi.org/10.1109/TSMCB.2005.852473
  • Sasaki, T., Sawada, K., Shin, S., & Hosokawa, S. (2017). Model based fallback control for networked control system via switched Lyapunov function. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 100(10), 2086–2094. https://doi.org/10.1587/transfun.E100.A.2086
  • Wen, J., Nguang, S. K., Shi, P., & Nasiri, A. (2016). Robust H∞ control of discrete-time nonhomogenous Markovian jump systems via multistep Lyapunov function approach. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(7), 1439–1450. https://doi.org/10.1109/TSMC.2016.2617621
  • Wen, J., Nguang, S. K., Shi, P., & Zhao, X. (2018). Stability and H∞ control of discrete-time switched systems via one-step ahead Lyapunov function approach. IET Control Theory & Applications, 12(8), 1141–1147. https://doi.org/10.1049/cth2.v12.8
  • Xiao, M., Zhai, G., & Huang, C. (2020). Quadratic stabilisation of switched affine systems. Journal of Control and Decision, 7(1), 1–23. https://doi.org/10.1080/23307706.2019.1691065
  • Xie, Y., Liu, Z., Luan, X., & Wen, J. (2019). Dissipative dynamic output-feedback control for switched systems via multistep Lyapunov function approach. Transactions of the Institute of Measurement and Control, 41(15), 4254–4262. https://doi.org/10.1177/0142331219854867
  • Xie, Y., Wen, J., Nguang, S. K., & Peng, L. (2017). Stability, L2-gain, and robust H∞ control for switched systems via N-step ahead Lyapunov function approach. IEEE Access, 5, 26400–26408. https://doi.org/10.1109/ACCESS.2017.2771455
  • Zhang, L., Zhu, Y., Shi, P., & Lu, Q. (2016). Time-dependent switched discrete-time linear systems: control and filtering. Springer.
  • Zhao, P., & Nagamune, R. (2017). Switching LPV controller design under uncertain scheduling parameters. Automatica, 76, 243–250. https://doi.org/10.1016/j.automatica.2016.10.026

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