66
Views
11
CrossRef citations to date
0
Altmetric
Electrical Engineering

Static output tracking control for non-linear polynomial time-delay systems via block-pulse functions

, &
Pages 194-205 | Received 09 May 2017, Accepted 28 Mar 2018, Published online: 30 Apr 2018

References

  • Ahmad, S., R. Majeed, K. Hong, and M. Rehan. 2015. “Observer Design for One-sided Lipschitz Nonlinear Systems Subject to Measurement Delays.” Mathematical Problems in Engineering. doi:10.1155/2015/879492.
  • Belhaouane, M. M., and N. Benhadj Braiek. 2011. “Design of Stabilizing Control for Synchronous Machines via Polynomial Modelling and Linear Matrix Inequalities Approach.” International Journal of Control, Automation and Systems 9 (3): 425–436. doi:10.1007/s12555-011-0301-5.
  • Benabdallah, A. 2015. “A Separation Principle for the Stabilization of a Class of Time Delay Nonlinear Systems.” Kybernetika 51 (1): 99–111. doi:10.14736/kyb-2015-1-0099.
  • Benhadj Braiek, N., and F. Rotella. 1995. “Global Stabilization of Nonlinear Systems Using a Kronecker Product Approach.” Proceeding of 3rd European Control Conference, Rome, Italy.
  • Brewer, J. W. 1978. “Kronecker Products and Matrix Calculus in Systems Theory.” IEEE Transactions on Circuits and Systems 25 (9): 772–781. doi:10.1109/TCS.1978.1084534.
  • Deb, A., S. Roychoudhury, and G. Sarkar. 2016. “Analysis and Identification of Time-invariant Systems, Time-varying Systems, and Multi-delay Systems Using Orthogonal Hybrid Functions. Theory and Algorithms with MATLAB.” Studies in Systems, Decision and Control. doi:10.1007/978-3-319-26684-8.
  • Hashemi, M. 2017. “Adaptive Neural Dynamic Surface Control of MIMO Nonlinear Time Delay Systems with Time-varying Actuator Failures.” International Journal of Adaptive Control and Signal Processing 31 (2): 275–296. doi:10.1002/acs.2715.
  • Hwang, C., and Y. P. Shih. 1985. “Optimal Control of Delay Systems via Block Pulse Functions.” Journal of Optimization Theory and Applications 45 (1): 101–112. doi:10.1007/BF00940816.
  • Iben Warrad, B., M. K. Bouafoura and N. Benhadj Braiek. 2015. “Tracking Control Synthesis of Nonlinear Polynomial Systems.” 12th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Colmar, France, 21–23 July: 1–7. New York: IEEE.
  • Ibrir, S. 2011. “Observer-based Control of a Class of Time-delay Nonlinear Systems Having Triangular Structure.” Automatica 47 (2): 388–394. doi:10.1016/j.automatica.2010.10.052.
  • Karafyllis, I., M. Malisoff, F. Mazenc, and P. Pepe. 2016. Recent Results on Nonlinear Delay Control Systems: In Honor of Miroslav Krstic. Springer International Publishing. doi:10.1007/978-3-319-18072-4.
  • Li, Y., Sh Tong, and T. Li. 2016. “Hybrid Fuzzy Adaptive Output Feedback Control Design for Uncertain MIMO Nonlinear Systems with Time-varying Delays and Input Saturation.” IEEE Transactions on Fuzzy Systems 24 (4): 841–853. doi:10.1109/TFUZZ.2015.2486811.
  • Liu, P. L. 2016. “Improved Robust Exponential Stability for Takagi-Sugeno Fuzzy Uncertain Systems with Time-varying Delays.” Journal of the Chinese Institute of Engineers 39 (2): 150–158. doi:10.1080/02533839.2015.1083187.
  • Ma, Y., M. Chen, and X. Hu. 2016. “Exponential Stability and Stabilization of Uncertain T-S Fuzzy System with Time-varying Delay.” Journal of the Chinese Institute of Engineers 39 (3): 324–330. doi:10.1080/02533839.2015.1112246.
  • Marzban, H. R. 2017. “Parameter Identification of Linear Multi-delay Systems via a Hybrid of Block-pulse Functions and Taylor’s Polynomials.” International Journal of Control 90 (3): 504–518. doi:10.1080/00207179.2016.1186288.
  • Papachristodoulou, A., M. M. Peet, and S. Lall. 2009. “Analysis of Polynomial Systems with Time Delays via the Sum of Squares Decomposition.” IEEE Transactions on Automatic Control 54 (5): 1061–1067. doi:10.1109/tac.2009.2017168.
  • Rehak, B. 2015. “Sum-of-squares Based Observer Design for Polynomial Systems with a Known Fixed Time Delay.” Kybernetika 51 (5): 856–873. doi:10.14736/kyb-2015-5-0856.
  • Shi, P., F. Li, L. Wu, and Ch Chew Lim. 2016. “Neural Network-based Passive Filtering for Delayed Neutral-type Semi-Markovian Jump Systems.” IEEE Transactions on Neural Networks and Learning Systems 28 (9): 1–14. doi:10.1109/TNNLS.2016.2573853.
  • Wu, T. S., M. Karkoub, C. T. Chen, W. S. Yu, M. G. Her, and J. Y. Su. 2013. “Robust Tracking Design Based on Adaptive Fuzzy Control of Uncertain Nonlinear MIMO Systems with Time Delayed States.” International Journal of Control, Automation, and Systems 11 (6): 1300–1313. doi:10.1007/s12555-012-0543-x.
  • Wu, H. S., R. A. Willgoss, and K. Mizukami. 1994. “Robust Stabilization for a Class of Uncertain Dynamical Systems with Time Delay.” Journal of Optimization Theory and Applications 82 (2): 361–378. doi:10.1007/BF02191859.
  • Yinggan, T., L. Ning, L. Minmin, L. Yao, and W. Weiwei. 2017. “Identification of Fractional-order Systems with Time Delays Using Block Pulse Functions.” Mechanical Systems and Signal Processing 91: 382–394. doi:10.1016/j.ymssp.2017.01.008.
  • Yu, Z., J. Luo, and J. Liu. 2013. “Adaptive Neural Control for Pure-feedback Nonlinear Time-delay Systems with Unknown Dead-zone: A Lyapunov-Razumikhin Method.” Journal of Control Theory and Applications 11 (1): 18–26. doi:10.1007/s11768-013-1071-9.
  • Zhang, Y., P. Shi, R. K. Agarwal, and Y. Shi. 2016. “Dissipativity Analysis for Discrete Time-delay Fuzzy Neural Networks with Markovian Jumps.” IEEE Transactions on Fuzzy Systems 24 (2): 432–443. doi:10.1109/TFUZZ.2015.2459759.

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.