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Articles

Robust partial sampled-data state feedback control of Markov jump linear systems

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Pages 2142-2152 | Received 18 Jul 2018, Accepted 14 Jul 2019, Published online: 05 Aug 2019

References

  • Allerhand, L. I., & Shaked, U. (2013). Robust control of linear systems via switching. IEEE Transactions on Automatic Control, 58(2), 506–512. doi: 10.1109/TAC.2012.2206715
  • Chen, T., & Francis, B. A. (2012). Optimal sampled-data control systems. London: Springer Science & Business Media.
  • Costa, O. L. V., Fragoso, M. D., & Marques, R. P. (2006). Discrete-time Markov jump linear systems. Berlin: Springer Science & Business Media.
  • Costa, O. L. V., Fragoso, M. D., & Todorov, M. G. (2013). Continuous-time Markov jump linear systems. Berlin: Springer Science & Business Media.
  • Cui, J., Liu, T., & Wang, Y. (2017). New stability criteria for a class of markovian jumping genetic regulatory networks with time-varying delays. International Journal of Innovative Computing, Information and Control, 13, 809–822.
  • DeCarlo, R. A., Branicky, M. S., Pettersson, S., & Lennartson, B. (2000). Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7), 1069–1082. doi: 10.1109/5.871309
  • Dolgov, M., & Hanebeck, U. D. (2017). Static output-feedback control of markov jump linear systems without mode observation. IEEE Transactions on Automatic Control, 62(10), 5401–5406. doi: 10.1109/TAC.2017.2703924
  • Fridman, E. (2010). A refined input delay approach to sampled-data control. Automatica, 46(2), 421–427. doi: 10.1016/j.automatica.2009.11.017
  • Gabriel, G. W., Geromel, J. C., & Grigoriadis, K. M. (2017). Optimal H∞ state feedback sampled-data control design for Markov jump linear systems. International Journal of Control, 91(7), 1609–1619. doi: 10.1080/00207179.2017.1323352
  • Gabriel, G. W., Gonçalves, T. R., & Geromel, J. C. (2018). Optimal and robust sampled-data control of markov jump linear systems: A differential LMI approach. IEEE Transactions on Automatic Control, 63(9), 3054–3060. doi: 10.1109/TAC.2018.2797212
  • Geromel, J. C., & Gabriel, G. W. (2015). Optimal H2 state feedback sampled-data control design of markov jump linear systems. Automatica, 54, 182–188. doi: 10.1016/j.automatica.2015.02.011
  • Geromel, J. C., & Souza, M. (2015). On an LMI approach to optimal sampled-data state feedback control design. International Journal of Control, 88(11), 2369–2379. doi: 10.1080/00207179.2015.1043949
  • Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009). Hybrid dynamical systems. IEEE Control Systems, 29(2), 28–93. doi: 10.1109/MCS.2008.931718
  • Hespanha, J. P., Naghshtabrizi, P., & Xu, Y. (2007). A survey of recent results in networked control systems. Proceedings of the IEEE, 95(1), 138–162. doi: 10.1109/JPROC.2006.887288
  • Hu, L.-S., Cao, Y.-Y., & Shao, H.-H. (2002). Constrained robust sampled-data control for nonlinear uncertain systems. International Journal of Robust and Nonlinear Control, 12(5), 447–464. doi: 10.1002/rnc.632
  • Hu, L.-S., Shi, P., & Frank, P. M. (2006). Robust sampled-data control for markovian jump linear systems. Automatica, 42, 2025–2030. doi: 10.1016/j.automatica.2006.05.029
  • Leon-Garcia, A. (2008). Probability, statistics, and random processes for electrical engineering. Upper Saddle River, NJ: Pearson Education.
  • Lutz, C. C (2014). Switched markov jump linear systems: Analysis and control synthesis (PhD dissertation). Virginia Polytechnic Institute and State University, Blacksburg, VA.
  • Rodrigues, C. G., Todorov, M. G., & Fragoso, M. D. (2017). H∞ control of continuous-time markov jump linear systems with detector-based mode information. International Journal of Control, 90(10), 2178–2196. doi: 10.1080/00207179.2016.1238511
  • Stewart, W. J. (2009). Probability, Markov chains, queues, and simulation: The mathematical basis of performance modeling. Princeton, NJ: Princeton University Press.
  • Todorov, M. G., & Fragoso, M. D. (2011). On the robust stability, stabilization, and stability radii of continuous-time infinite markov jump linear systems. SIAM Journal on Control and Optimization, 49(3), 1171–1196. doi: 10.1137/090774410
  • Todorov, M. G., & Fragoso, M. D. (2016). A new look at the robust control of discrete-time markov jump linear systems. International Journal of Control, 89(3), 518–534. doi: 10.1080/00207179.2015.1083618
  • Wang, F.-Y., & Liu, D. (2008). Networked control systems. London: Springer.
  • Wu, Z.-G., Shi, P., Shu, Z., Su, H., & Lu, R. (2017). Passivity-based asynchronous control for markov jump systems. IEEE Transactions on Automatic Control, 62(4), 2020–2025. doi: 10.1109/TAC.2016.2593742
  • Yang, T. C. (2006). Networked control system: A brief survey. IEE Proceedings-Control Theory and Applications, 153(4), 403–412. doi: 10.1049/ip-cta:20050178
  • Zhang, M., Shi, P., Ma, L., Cai, J., & Su, H. (2018). Network-based fuzzy control for nonlinear markov jump systems subject to quantization and dropout compensation. Fuzzy Sets and Systems, 371, 96–109. doi:10.1016/j.fss.2018.09.007
  • Zhou, K., Doyle, J. C., & Glover, K.1996). Robust and optimal control. Upper Saddle River, NJ: Prentice-Hall, Inc.