Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback

References

• Aouaouda, S., Chadli, M., & Karimi, H. R. (2014). Robust static output-feedback controller design against sensor failure for vehicle dynamics. IET Control Theory and Applications, 8(9), 728–737.
   Web of Science ®Google Scholar
• Bara, G. I., & Boutayeb, M. (2005). Static output feedback stabilization with H∞ performance for linear discrete-time systems. IEEE Transactions on Automatic Control, 50(2), 250–254.
   Web of Science ®Google Scholar
• Boukas, E. K. (2008). Control of singular systems with random abrupt changes. Berlin: Springer.
   Google Scholar
• Cao, Y. Y., Lin, Z., & Hu, T. (2002). Stability analysis of linear time-delay systems subjected to input saturation. IEEE Transaction on Circuits and Systems, I: Fundamental Theory and Application, 49, 233–240.
   Google Scholar
• Chadli, M., & Guerra, T. M. (2012). LMI solution for robust static output feedback control of discrete Takagi–Sugeno fuzzy models. IEEE Transactions on Fuzzy Systems, 20(6), 1160–1165.
   Web of Science ®Google Scholar
• Chadli, M., Karimi, H. R., & Shi, P. (2014). On stability and stabilization of singular uncertain Takagi–Sugeno fuzzy systems. Journal of the Franklin Institute, 351, 1453–1463.
   Web of Science ®Google Scholar
• Chen, Y. G., Fei, S. M., & Li, Y. M. (2015). Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback. Automatica, 52, 242–247.
   Web of Science ®Google Scholar
• Chen, Y. G., Fei, S. M., & Li, Y. M. (2017). Robust stabilization for uncertain saturated time-delay systems: A distributed-delay-dependent polytopic approach. IEEE Transactions on Automatic Control, 62(7), 3455–3460.
   Web of Science ®Google Scholar
• Dai, L. (1989). Singular control systems. New York, NY: Springer-Verlag.
   Google Scholar
• Dey, R., Rakshit, A., Ray, G., & Ghosh, S. (2012 January). New delay-dependent stabilization result for linear time-delay system with actuator saturation. In Power, signals, controls and computation (EPSCICON), International conference on digital object identifier:10. 1109/EPSCICON 2012. 6175267 (pp. 1–6), Los Alamitos, CA, United States: IEEE.
   Google Scholar
• Ding, C. Y., & Li, Q. (2013). Delay-dependent dissipative control for stochastic singular systems with state delay. Archives of Control Sciences, 23(3), 281–293.
   Google Scholar
• Feng, Z., & Shi, P. (2017). Two equivalent sets: Application to singular systems. Automatica, 77, 198–205.
   Web of Science ®Google Scholar
• Fridman, E., Pila, A., & Shaked, U. (2003). Regional stabilization and H∞ control of time-delay systems with saturating actuators. International Journal of Robust and Nonlinear Control, 13, 885–907.
   Web of Science ®Google Scholar
• Fridman, E., & Shaked, U. (2002). H∞ control of linear state-delay descriptor systems: An LMI approach. Linear Algebra Application, 351–352, 271–302.
   Web of Science ®Google Scholar
• Fu, L., & Ma, Y. (2016). Passive control for singular time-delay system with actuator saturation. Applied Mathematics and Computation, 289, 181–193.
   Web of Science ®Google Scholar
• Gu, K., Kharitonov, V. L., & Chen, J. (2003). Stability of time-delay systems. New York, NY: Springer-Verlag.
   Google Scholar
• He, Y., Wang, Q. G., Lin, C., & Wu, M. (2007). Delay-range-dependent stability for systems with time-varying delay. Automatica, 43(2), 371–376.
   Web of Science ®Google Scholar
• Hu, T. S., Lin, Z. L., & Chen, B. M. (2002). Analysis and design for discrete-time linear systems subject to actuator saturation. Systems and Control Letters, 45, 97–112.
   Web of Science ®Google Scholar
• Kim, J. H. (2011). Note on stability of linear systems with time-varying delay. Automatica, 47(9), 2118–2121.
   Web of Science ®Google Scholar
• Li, Q., Zhang, Q. L., Yi, N., & Yuan, Y. (2009). Robust passive control for uncertain time-delay singular systems. IEEE Transactions on Circuits and Systems, 56(3), 653–663.
   Google Scholar
• Li, Y. M., & Tong, S. C. (2014). Adaptive fuzzy output-feedback control of pure-feedback uncertain nonlinear systems with unknown dead-zone. IEEE Transactions on Fuzzy Systems, 22(5), 1341–1347.
   Web of Science ®Google Scholar
• Li, Z. H., Wang, J. C., & Shao, H. H. (2002). Delay-dependent dissipative control for linear time-delay systems. Journal of the Franklin Institute, 339(6), 529–542.
   Web of Science ®Google Scholar
• Lin, Z., & Lv, L. (2007). Set invariance conditions for singular linear systems subject to actuator saturation. IEEE Transactions on Automatic Control, 52(12), 2351–2355.
   Web of Science ®Google Scholar
• Liu, P. L. (2013). Further improvement on delay-range-dependent stability results for linear systems with interval time-varying delays. ISA transactions, 52(6), 725–729.
   PubMed Web of Science ®Google Scholar
• Liu, Z. Y., Lin, C., & Chen, B. (2016). Admissibility analysis for linear singular systems with time-varying delays via neutral system approach. ISA Transactions, 61, 141–146.
   PubMed Web of Science ®Google Scholar
• Ma, S. P., & Zhang, C. H. (2012). H∞ control for discrete-time singular Markov jump systems subject to actuator saturation. Journal of the Franklin Institute, 349, 1011–1029.
   Web of Science ®Google Scholar
• Ma, Y., Jia, X., & Liu, D. (2018). Finite-time dissipative control for singular discrete-time Markovian jump systems with actuator saturation and partly unknown transition rates. Applied Mathematical Modelling, 53, 49–70.
   Web of Science ®Google Scholar
• Park, M., Kwon, O., Ju, H., Lee, S., & Cha, E. (2015). Stability of time-delay systems via Wirtinger-based double integral inequality. Automatica, 55, 204–208.
   Web of Science ®Google Scholar
• Park, P. G., Ko, J. W., & Jeong, C. (2011). Reciprocally convex approach to stability of systems with time-varying delays. Automatica, 47(1), 235–238.
   Web of Science ®Google Scholar
• Saifia, D., Chadli, M., Karimi, H. R., & Labiod, S. (2015). Fuzzy control for electric power steering system with assist motor current input constraints. Journal of the Franklin Institute, 352(2), 562–576.
   Web of Science ®Google Scholar
• Saifia, D., Chadli, M., Labiod, S., & Guerra, T. M. (2012). Robust H∞ static output feedback stabilization of TS fuzzy systems subject to actuator saturation. International Journal of Control, Automation and Systems, 10(3), 613–622.
   Web of Science ®Google Scholar
• Seuret, A., & Gouaisbaut, F. (2013). Wirtinger-based integral inequality: Application to time-delay systems. Automatica, 49(9), 2860–2866.
   Web of Science ®Google Scholar
• Shao, H. (2009). New delay-dependent stability criteria for systems with interval delay. Automatica, 45(3), 744–749.
   Web of Science ®Google Scholar
• Singh, V. (2004). Robust stability of cell neural networks with delay: Linear matrix inequality approach. IEE Proceedings – Control Theory and Applications, 151, 125–129.
   Google Scholar
• Sun, Y., & Cui, B. T. (2008). Dissipativity analysis of neural networks with time-varying delays. International Journal of Automation and Computing, 5(3), 290–295.
   Google Scholar
• Tong, S. C., & Li, Y. M. (2012). Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Transactions on Fuzzy Systems, 20(1), 168–180.
   Web of Science ®Google Scholar
• Tong, S. C., Li, Y. M., Feng, G., & Li, T. S. (2011). Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems. IEEE Transactions on Systems, Man and Cybernetics, 41(4), 1124–1135.
   PubMed Web of Science ®Google Scholar
• Wu, Z. G., Park, J. H., Su, H., & Chu, J. (2013). Reliable passive control for singular systems with time-varying delays. Journal of Process Control, 23(8), 1217–1228.
   Web of Science ®Google Scholar
• Wu, Z. G., Su, H., Shi, P., & Chu, J. (2013). Analysis and synthesis of singular systems with time-delays. Berlin: Springer.
   Google Scholar
• Zeng, H. B., He, Y., Wu, M., & She, J. (2015). Free-matrix-based integral inequality for stability analysis of systems with time-varying delay. IEEE Transactions on Automatic Control, 60(10), 2768–2772.
   Web of Science ®Google Scholar
• Zhou, B. (2013). Analysis and design of discrete-time linear systems with nested actuator saturations. Systems and Control Letters, 62(10), 871–879.
   Web of Science ®Google Scholar
• Zhou, B., Zheng, W. X., & Duan, G. R. (2011). An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation. Automatica, 47(2), 306 –315.
   Web of Science ®Google Scholar
• Zhu, X. L., Wang, Y. Y., & Gan, Y. (2011). H∞ filtering for continuous-time singular systems with time-varying delay. International Journal of Adaptive Control and Signal Processing, 25(2), 137–154.
   Web of Science ®Google Scholar