113
Views
1
CrossRef citations to date
0
Altmetric
Articles

Robust H non-fragile control with memory state feedback for a class of singular time-delay systems

&
Pages 131-138 | Received 05 Mar 2014, Accepted 18 Aug 2014, Published online: 16 Oct 2015

References

  • Chen, J.-D., C.-D. Yang, C.-H. Lien, and J.-H. Horng. 2008. “New Delay-dependent Non-fragile H∞ Observer-based Control for Continuous Time-delay Systems.” Information Sciences 178 (24): 4699–4706. doi:10.1016/j.ins.2008.08.009.
  • Dai, L. 1989. Singular Control Systems. New York: Springer-Verlag.10.1007/BFb0002475
  • Fang, M. 2009. “Delay-dependent Robust H∞ Control for Uncertain Singular Systems with State Delay.” Acta Automatica Sinica 35 (1): 65–70. doi:10.1016/S1874-1029(08)60066-X.
  • Fridman, E., and U. Shaked. 2002. “H∞-control of Linear State-delay Descriptor Systems: An LMI Approach.” Linear Algebra and its Applications 351–352: 271–302. doi:10.1016/S0024-3795(01)00563-8.
  • Hu, N.-T., T.-F. Wu, S. S.-D. Xu, and H.-C. Huang. 2013. “Novel Observer-based Suboptimal Digital Tracker for a Class of Time-delay Singular Systems.” Journal of Applied Mathematics 2013 (2013): 1–19. doi:10.1155/2013/150590.
  • Jiang, Z.-H., W.-H. Gui, Y.-F. Xie, and C.-H. Yang. 2009. “Memory State Feedback Control for Singular Systems with Multiple Internal Incommensurate Constant Point Delays.” Acta Automatica Sinica 35 (2): 174–179. doi:10.1016/S1874-1029(08)60072-5.
  • Ma, Y.-C., X.-Z. Zhong, and Q.-L. Zhang. 2008. “Design of State Observer for a Class of Nonlinear Descriptor Large-scale Composite Systems.” International Journal of Innovative Computing Information and Control 4 (8): 1967–1975.
  • Ma, Y.-C., B. Yang, Z.-J. Zhang, and X.-Z. Zhong. 2010. “H∞ Control for Multi-time-delay Uncertain Discrete Systems.” International Journal of Innovative Computing Information and Control 6 (5): 2035–2044.
  • Wo, S., Y. Zou, Q. Chen, and S. Xu. 2009. “Non-fragile Controller Design for Discrete Descriptor Systems.” Journal of the Franklin Institute 346 (9): 914–922. doi:10.1016/j.jfranklin.2009.07.008.
  • Wu, Z., and W. Zhou. 2007. “Delay-dependent Robust H∞ Control for Uncertain Singular Time-delay Systems.” IET Control Theory and Applications 1 (5): 1234–1241. doi:10.1049/iet-cta:20060446.
  • Wu, Z.-G., H.-Y. Su, and J. Chu. 2009. “Improved Results on Delay-dependent H∞ Control for Singular Time-delay Systems.” Acta Automatica Sinica 35 (8): 1101–1106. doi:10.1016/S1874-1029(08)60101-9.
  • Xu, S., P. Van Dooren, R. Stefan, and J. Lam. 2002. “Robust Stability and Stabilization for Singular Systems with State Delay and Parameter Uncertainty.” IEEE Transactions on Automatic Control 47 (7): 1122–1128. doi:10.1109/TAC.2002.800651.
  • Xu, S., J. Lam, and C. Yang. 2003. “Robust H∞ Control for Uncertain Singular Systems with State Delay.” International Journal of Robust and Nonlinear Control 13 (13): 1213–1223. doi:10.1002/rnc.837.
  • Xu, S., J. Lam, and Y. Zou. 2007. “An Improved Characterization of Bounded Realness for Singular Delay Systems and Its Applications.” International Journal of Robust and Nonlinear Control 18 (3): 263–277. doi:10.1002/rnc.1215.
  • Yang, F., and Q. Zhang. 2005. “Delay-dependent H-infinity Control for Linear Descriptor Systems with Delay in State.” Journal of Control Theory and Applications 3 (1): 76–84. doi:10.1007/S11768-005-0065-7.
  • Zamani, I., and M. Shafiee. 2013. “Stability Analysis of Uncertain Switched Singular Time-delay Systems with Discrete and Distributed Delays.” Optimal Control Applications and Methods 36 (1): 1–28. doi:10.1002/oca.2097.
  • Zhang, Q.-L., and Y.-C. Ma. 2007. “Decentralized Output Feedback Robust Stabilization and Impulse Analysis of Uncertain Generalized Large-scale Composite System.” Acta Physica Sinica 56 (4): 1958–1965.
  • Zhang, Q.-L., T.-C. Ma, and L.-F. Huang. 2007. “Robust Guaranteed Cost H∞ Control for Uncertain Time-varying Delay System.” Acta Physica Sinica 56 (7): 3744–3752.
  • Zhang, B., S. Zhou, and T. Li. 2007. “A New Approach to Robust and Non-fragile H∞ Control for Uncertain Fuzzy Systems.” Information Sciences 177 (22): 5118–5133. doi:10.1016/j.ins.2007.05.004.
  • Zhong, R., and Z. Yang. 2008. “Delay-dependent Robust Control of Descriptor Systems with Time Delay.” Asian Journal of Control 8 (1): 36–44. doi:10.1111/j.1934-6093.2006.tb00249.x.
  • Zhu, S., Z. Li, and Z. Cheng. 2005. “Delay-dependent Robust Resilient H∞ Control for Uncertain Singular Time-delay Systems.” In Proceedings of the 44th IEEE Conference on Decision and Control, and European Control Conference, Seville, Spain, 15 December 2005: 1373–1378. New York: IEEE.

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.