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Research Article

Generalised existence condition and design method for switched nonlinear state-norm estimators

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Pages 3202-3210 | Received 26 Feb 2021, Accepted 22 Jul 2021, Published online: 14 Aug 2021

References

  • Alessandri, A., & Coletta, P. (2001). Switching observers for continuous-time and discrete-time linear systems. In Proceedings of the 2001 American control conference. IEEE.
  • Bejarano, F. J., & Pisano, A. (2011, March). Switched Observers for switched linear systems with unknown inputs. IEEE Transactions on Automatic Control, 56(3), 681–686. https://doi.org/10.1109/TAC.2010.2095990
  • Dong, H., Bu, X., Wang, Z., & Han, F. (2020, August). Finite-Horizon distributed state estimation under randomly switching topologies and redundant channels. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(8), 2938–2947. https://doi.org/10.1109/TSMC.6221021
  • Ethabet, H., Rabehi, D., Efimov, D., & Raïssi, T. (2018, April). Interval estimation for continuous-time switched linear systems. Automatica, 90(7), 230–238. https://doi.org/10.1016/j.automatica.2017.12.035
  • Fu, S., Qiu, J., Chen, L., & Mou, S. (2018, December). Adaptive fuzzy Observer design for a class of switched nonlinear systems with actuator and sensor faults. IEEE Transactions on Fuzzy Systems, 26(6), 3730–3742. https://doi.org/10.1109/TFUZZ.2018.2848253
  • Garcia, R. A., & Mancilla-Aguilar, J. L. (2002, May). State-norm estimation of switched nonlinear systems. In Proceedings of the 2002 american control conference (pp. 1892–1896).
  • Hou, Y., Zhu, F., Zhao, X., & Guo, S. (2018, August). Observer design and unknown input reconstruction for a class of switched descriptor systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(8), 1411–1419. https://doi.org/10.1109/TSMC.2017.2679345
  • Krichman, M., Sontag, E. D., & Wang, Y. (2001, January). Input-output-to-state stability. SIAM Journal on Control and Optimization, 39(6), 1874–1928. https://doi.org/10.1137/S0363012999365352
  • Kundu, A., Chatterjee, D., & Liberzon, D. (2016, February). Generalized switching signals for input-to-state stability of switched systems. Automatica, 64(4–5), 270–277. https://doi.org/10.1016/j.automatica.2015.11.027
  • Liu, Y., Su, H., & Zeng, Z. (2020). Second-Order consensus for multiagent systems with switched dynamics. IEEE Transactions on Cybernetics, 1–10. https://doi.org/10.1109/tcyb.2020.3015977
  • Long, L. (2019, July). Input/output-to-state stability for switched nonlinear systems with unstable subsystems. International Journal of Robust and Nonlinear Control, 29(10), 3093–3110. https://doi.org/10.1002/rnc.v29.10
  • Luenberger, D. G. (1964, April). Observing the state of a linear system. IEEE Transactions on Military Electronics, 8(2), 74–80. https://doi.org/10.1109/TME.1964.4323124
  • Ma, R., Fu, J., & Chai, T. (2017, August). Dwell-Time-Based Observer design for unknown input switched linear systems without requiring strong detectability of subsystems. IEEE Transactions on Automatic Control, 62(8), 4215–4221. https://doi.org/10.1109/TAC.2017.2683065
  • Müller, M. A., & Liberzon, D. (2010, December). State-norm estimators for switched nonlinear systems under average dwell-time. In 49th IEEE conference on decision and control (CDC). IEEE.
  • Müller, M. A., & Liberzon, D. (2012, September). Input/output-to-state stability and state-norm estimators for switched nonlinear systems. Automatica, 48(9), 2029–2039. https://doi.org/10.1016/j.automatica.2012.06.026
  • Newton, T. A. (1954, May). A note on a generalization of the Cauchy-Maclaurin integral test. The American Mathematical Monthly, 61(5), 331. https://doi.org/10.2307/2307472
  • Pettersson, S. (2006, June). Designing switched observers for switched systems using multiple Lyapunov functions and dwell-time switching. IFAC Proceedings Volumes, 39(5), 18–23. https://doi.org/10.3182/20060607-3-IT-3902.00008
  • Praly, L., & Wang, Y. (1996, March). Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability. Mathematics of Control, Signals, and Systems, 9(1), 1–33. https://doi.org/10.1007/BF01211516
  • Qi, Y., Liu, Y., & Niu, B. (2021, May). Event-triggered H∞ filtering for networked switched systems with packet disorders. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(5), 2847–2859. https://doi.org/10.1109/tsmc.2019.2917385
  • Shen, H., Huang, Z., Cao, J., & Park, J. H. (2020, June). Exponential H∞ filtering for continuous-time switched neural networks under persistent dwell-time switching regularity exponential H∞ filtering for continuous-time switched neural networks under persistent dwell-time switching regularity. IEEE Transactions on Cybernetics, 50(6), 2440–2449. https://doi.org/10.1109/TCYB.6221036
  • Sontag, E. D., & Wang, Y. (1997, February). Output-to-state stability and detectability of nonlinear systems. Systems & Control Letters, 29(5), 279–290. https://doi.org/10.1016/S0167-6911(97)90013-X
  • Wang, Y. E., Sun, X. M.., Shi, P., & Zhao, J. (2013, December). Input-to-State stability of switched nonlinear systems with time delays under asynchronous switching. IEEE Transactions on Cybernetics, 43(6), 2261–2265. https://doi.org/10.1109/TCYB.2013.2240679
  • Xiao, X., Park, J. H., Zhou, L., & Lu, G. (2020, January). Event-triggered control of discrete-time switched linear systems with network transmission delays. Automatica, 111(1), 108585. https://doi.org/10.1016/j.automatica.2019.108585
  • Xiao, X., Zhou, L., Ho, D. W. C., & Lu, G. (2019, April). Event-Triggered control of continuous-time switched linear systems. IEEE Transactions on Automatic Control, 64(4), 1710–1717. https://doi.org/10.1109/TAC.9
  • Yan, H., Zhang, H., Yang, F., Huang, C., & Chen, S. (2018, December). Distributed H∞ filtering for switched repeated scalar nonlinear systems with randomly occurred sensor nonlinearities and asynchronous switching distributed H∞ filtering for switched repeated scalar nonlinear systems with randomly occurred sensor nonlinearities and asynchronous switching. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(12), 2263–2270. https://doi.org/10.1109/TSMC.2017.2754495
  • Zhang, L., & Gao, H. (2010, May). 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
  • Zhao, X., Liu, H., Zhang, J., & Li, H. (2015, January). Multiple-Mode Observer design for a class of switched linear systems. IEEE Transactions on Automation Science and Engineering, 12(1), 272–280. https://doi.org/10.1109/TASE.2013.2281466
  • Zhao, X., Yin, Y., Niu, B., & Zheng, X. (2016, August). Stabilization for a class of switched nonlinear systems with novel average dwell time switching by T-S fuzzy modeling. IEEE Transactions on Cybernetics, 46(8), 1952–1957. https://doi.org/10.1109/TCYB.2015.2458896
  • Zhao, X., Zhang, L., Shi, P., & Liu, M. (2012, July). Stability and stabilization of switched linear systems with mode-dependent average dwell time. IEEE Transactions on Automatic Control, 57(7), 1809–1815. https://doi.org/10.1109/TAC.2011.2178629

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