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Research Article

Hybrid control of switched LFT uncertain systems with time-varying input delays

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Pages 3437-3448 | Received 02 Nov 2020, Accepted 24 Aug 2021, Published online: 08 Sep 2021

References

  • Boyd, S., Ghaoui, L. E., Feron, E., & Balakrishnan, V. (2004). Linear matrix inequalities in system and control theory. SIAM.
  • Cheng, J., Chang, X. H., Park, J. H., Li, H., & Wang, H. (2018). Fuzzy-model-based H∞ control for discrete-time switched systems with quantized feedback and unreliable links. Information Sciences, 436(1), 181–196. https://doi.org/10.1016/j.ins.2018.01.021
  • Dai, D., Hu, T., Teel, R., & Zaccarian, L. (2009). Output feedback design for saturated linear plants using Deadzone loops. Automatica, 45(12), 2917–2924. https://doi.org/10.1016/j.automatica.2009.09.022
  • Deaecto, G. S., Bolzern, P., Galbusera, L., & Geromel, J. C. (2016). H2 and H∞ control of time-varying delay switched linear systems with application to sampled-data control. Nonlinear Analysis: Hybrid Systems, 22(4), 43–54.https://doi.org/10.1016/j.nahs.2016.03.002
  • 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
  • Duan, C., & Wu, F. (2014). Analysis and control of switched linear systems via dwell-time min-switching. Systems & Control Letters, 70, 8–16. https://doi.org/10.1016/j.sysconle.2014.05.004
  • 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
  • Hespanha, J. P., & Morse, A. S. (1999, December). Stability of switched systems with average dwell-time. In Proceeding of the 38th IEEE CDC (pp. 2655–2660).
  • Hetel, L., Daafouz, J., & Iung, C. (2006). Stabilization of arbitrary switched linear systems with unknown time-varying delays. IEEE Transactions on Automatic Control, 51(10), 1668–1674. https://doi.org/10.1109/TAC.2006.883030
  • Kao, C. (2012). On stability of discrete-time LTI systems with varying time delays. IEEE Transactions on Automatic Control, 57(5), 1243–1248. https://doi.org/10.1109/TAC.2011.2174681
  • Kao, C., & Rantzer, A. (2007). Stability analysis of systems with uncertain time-varying delays. Automatica, 43(6), 959–970. https://doi.org/10.1016/j.automatica.2006.12.006
  • Lauridsen, J. S., Sekunda, A. K., Santos, I. F., & Niemann, H. (2015). Identifying parameters in active magnetic bearing system using LFT formulation and Youla factorization. In 2015 IEEE Conference on Control Applications (CCA) (pp. 430–435).
  • Li, Y., Sun, Y., & Meng, F. (2017). New criteria for exponential stability of switched time-varying systems with delays and nonlinear disturbances. Nonlinear Analysis: Hybrid Systems, 26, 284–291.https://doi.org/10.1016/j.nahs.2017.06.007
  • Li, Y., Tong, S., Liu, L., & Feng, G. (2017). Adaptive output-feedback control design with prescribed performance for switched nonlinear systems. Automatica, 80(3), 225–231. https://doi.org/10.1016/j.automatica.2017.02.005
  • Liberzon, D. (2003). Switching in systems and control. Birkhauser.
  • Lu, B., Wu, F., & Kim, S. (2006). Switching LPV control of an F-16 aircraft via controller state reset. IEEE Transactions on Control Systems Technology, 14(2), 267–277. https://doi.org/10.1109/TCST.2005.863656
  • Ma, X., Wang, Q., Zhou, L., & Yang, C. (2016). Controller design and analysis for singularly perturbed switched systems with actuator saturation. International Journal of Robust and Nonlinear Control, 26(15), 3404–3420. https://doi.org/10.1002/rnc.3514
  • Megretski, A., & Rantzer, A. (1997). System analysis via integral quadratic constraints. IEEE Transactions on Automatic Control, 42(6), 819–830. https://doi.org/10.1109/9.587335
  • Pfifer, H., & Seiler, P. (2015a). Integral quadratic constraints for delayed nonlinear and parameter-varying systems. Automatica, 56(2), 36–43. https://doi.org/10.1016/j.automatica.2015.03.021
  • Pfifer, H., & Seiler, P. (2015b). An overview of integral quadratic constraints for delayed nonlinear and parameter-varying systems. Preprint 2015. arXiv:1504.02502.
  • Pfifer, H., & Seiler, P. (2016). Less conservative robustness analysis of linear parameter varying systems using integral quadratic constraints. International Journal of Robust and Nonlinear Control, 26(16), 3580–3594. https://doi.org/10.1002/rnc.v26.16
  • Seiler, P. (2015). Stability analysis with dissipation inequalities and integral quadratic constraints. IEEE Transactions on Automatic Control, 60(6), 1704–1709. https://doi.org/10.1109/TAC.9
  • Sui, S., & Tong, S. (2016). Fuzzy adaptive quantized output feedback tracking control for switched nonlinear systems with input quantization. Fuzzy Sets and Systems, 290(9), 56–78. https://doi.org/10.1016/j.fss.2015.07.012
  • Sun, X. M., Zhao, J., & Hill, D. J. (2006). Stability and L2-gain analysis for switched delay systems: A delay-dependent method. Automatica, 42(10), 1769–1774. https://doi.org/10.1016/j.automatica.2006.05.007
  • Sun, Z., & Ge, S. S. (2005). Switched linear systems: Control and design. Springer.
  • Wang, J., & Zhao, J. (2016). Stabilisation of switched positive systems with actuator saturation. IET Control Theory & Applications, 10(6), 717–723. https://doi.org/10.1049/cth2.v10.6
  • Wu, F., & Lu, B. (2004). On convexified robust control synthesis. Automatica, 40(6), 1003–1010. https://doi.org/10.1016/j.automatica.2004.01.010
  • Wu, X., Tang, Y., & Cao, J. (2019). Input-to-state stability of time-varying switched systems with time-delays. IEEE Transactions on Automatic Control, 64(6), 2537–2544. https://doi.org/10.1109/TAC.9
  • Yang, W., & Tong, S. (2015). Output feedback robust stabilization of switched fuzzy systems with time-delay and actuator saturation. Neurocomputing, 164, 173–181. https://doi.org/10.1016/j.neucom.2015.02.072
  • Yuan, C. (2017a). Leader-following consensus of parameter-dependent networks via distributed gain-scheduling control. International Journal of Systems Science, 48(10), 2013–2022. https://doi.org/10.1080/00207721.2017.1309597
  • Yuan, C. (2017b). Robust H∞ output regulation of uncertain linear fractional transformation systems with application to non-linear Chua's circuit. IET Control Theory & Applications, 11(12), 2012–2019. https://doi.org/10.1049/cth2.v11.12
  • Yuan, C., & Wu, F. (2015). Hybrid control for switched linear systems with average dwell time. IEEE Transactions on Automatic Control, 60(1), 240–245. https://doi.org/10.1109/TAC.9
  • Yuan, C., & Wu, F. (2017a). Consensus for multi-agent systems with time-varying input delays. International Journal of Systems Science, 48(14), 2956–2966. https://doi.org/10.1080/00207721.2017.1363927
  • Yuan, C., & Wu, F. (2017b). Exact-memory and memoryless control of linear systems with time-varying input delay using dynamic IQCs. Automatica, 77(8), 246–253. https://doi.org/10.1016/j.automatica.2016.11.015
  • Zhai, J Y., Wang, B., & Fei, S M. (2015). Tracking control for switched nonlinear systems with multiple time-varying delays. Nonlinear Analysis: Hybrid Systems, 17(4), 44–55.
  • Zhang, L., & Gao, H. (2010). Asynchronously switched control of switched linear systems with average dwell time. Automatica, 46(5), 953–958. https://doi.org/10.1016/j.automatica.2010.02.021
  • Zhang, L., Zhuang, S., & Shi, P. (2015). Non-weighted quasi-time-dependent H∞ filtering for switched linear systems with persistent dwell-time. Automatica, 54(2), 201–209. https://doi.org/10.1016/j.automatica.2015.02.010
  • Zhang, M., Shi, P., Liu, Z., Ma, L., & Su, H. (2018). H∞ filtering for discrete-time switched fuzzy systems with randomly occurring time-varying delay and packet dropouts. Signal Processing, 143(5), 320–327. https://doi.org/10.1016/j.sigpro.2017.09.009
  • Zhang, W. A., & Yu, L. (2009). Stability analysis for discrete-time switched time-delay systems. Automatica, 45(10), 2265–2271. https://doi.org/10.1016/j.automatica.2009.05.027
  • Zhao, J., & Hill, D. J. (2008). On stability, L2-gain and H∞ control for switched systems. Automatica, 44(5), 1220–1232. https://doi.org/10.1016/j.automatica.2007.10.011
  • Zhou, K., Doyle, J. C., & Glover, K. (1996). Robust and optimal control. Prentice Hall.
  • Zong, G., Wang, R., Zheng, W., & Hou, L. (2015). Finite-time H∞ control for discrete-time switched nonlinear systems with time delay. International Journal of Robust and Nonlinear Control, 25(6), 914–936. https://doi.org/10.1002/rnc.3121

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