Robust predictive extended state observer for a class of nonlinear systems with time-varying input delay

References

• Ahmed-Ali, T., Cherrier, E., & Lamnabhi-Lagarrigue, F. (2012). Cascade high gain predictors for a class of nonlinear systems. IEEE Transactions on Automatic Control, 57(1), 221–226. doi: 10.1109/TAC.2011.2161795
   Web of Science ®Google Scholar
• Artstein, Z. (1982). Linear systems with delayed controls: A reduction. IEEE Transactions on Automatic Control, 27(4), 869–879. doi: 10.1109/TAC.1982.1103023
   Web of Science ®Google Scholar
• Basturk, H. I. (2017). Cancellation of unmatched biased sinusoidal disturbances for unknown LTI systems in the presence of state delay. Automatica, 76, 169–176. doi: 10.1016/j.automatica.2016.10.006
   Web of Science ®Google Scholar
• Basturk, H. I., & Krstic, M. (2015). Adaptive sinusoidal disturbance cancellation for unknown LTI systems despite input delay. Automatica, 58, 131–138. doi: 10.1016/j.automatica.2015.05.013
   Web of Science ®Google Scholar
• Bekiaris-Liberis, N., & Krstic, M. (2012). Compensation of time-varying input and state delays for nonlinear systems. Journal of Dynamic Systems, Measurement, and Control, 134(1), 011009. doi: 10.1115/1.4005278
   Web of Science ®Google Scholar
• Besançon, G., Georges, D., & Benayache, Z. (2007). Asymptotic state prediction for continuous-time systems with delayed input and application to control. 2007 European control conference (ECC) (pp. 1786–1791).
   Google Scholar
• Engelborghs, K., Dambrine, M., & Roose, D. (2001). Limitations of a class of stabilization methods for delay systems. IEEE Transactions on Automatic Control, 46(2), 336–339. doi: 10.1109/9.905705
   Web of Science ®Google Scholar
• Fridman, E. (2001). New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems. Systems & Control Letters, 43(4), 309–319. doi: 10.1016/S0167-6911(01)00114-1
   Web of Science ®Google Scholar
• Fridman, E. (2014a). Introduction to time-delay systems: Analysis and control. Cham: Springer International Publishing Switzerland.
   Google Scholar
• Fridman, E. (2014b). Tutorial on Lyapunov-based methods for time-delay systems. European Journal of Control, 20(6), 271–283. doi: 10.1016/j.ejcon.2014.10.001
   Web of Science ®Google Scholar
• Furtat, I., Fridman, E., & Fradkov, A. (2018). Disturbance compensation with finite spectrum assignment for plants with input delay. IEEE Transactions on Automatic Control, 63(1), 298–305. doi: 10.1109/TAC.2017.2732279
   Web of Science ®Google Scholar
• Germani, A., Manes, C., & Pepe, P. (2002). A new approach to state observation of nonlinear systems with delayed output. IEEE Transactions on Automatic Control, 47(1), 96–101. doi: 10.1109/9.981726
   Web of Science ®Google Scholar
• Guo, L., & Chen, W. H. (2005). Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. International Journal of Robust and Nonlinear Control, 15(3), 109–125. doi: 10.1002/rnc.978
   Web of Science ®Google Scholar
• Karafyllis, I., & Krstic, M. (2017). Predictor feedback for delay systems: Implementations and approximations. Cham: Springer International Publishing AG, CH.
   Google Scholar
• Krstic, M. (2008). Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch. Automatica, 44(11), 2930–2935. doi: 10.1016/j.automatica.2008.04.010
   Web of Science ®Google Scholar
• Léchappé, V., Moulay, E., Plestan, F., Glumineau, A., & Chriette, A. (2015). New predictive scheme for the control of LTI systems with input delay and unknown disturbances. Automatica, 52, 179–184. doi: 10.1016/j.automatica.2014.11.003
   Web of Science ®Google Scholar
• Léchappé, V., Moulay, E., & Plestan, F. (2016). Dynamic observation-prediction for LTI systems with a time-varying delay in the input. 2016 IEEE 55th conference on decision and control (CDC) (pp. 2302–2307).
   Google Scholar
• Manitius, A., & Olbrot, A. W. (1979). Finite spectrum assignment problem for systems with delays. IEEE Transactions on Automatic Control, 24(4), 541–552. doi: 10.1109/TAC.1979.1102124
   Web of Science ®Google Scholar
• Mazenc, F., & Malisoff, M. (2016). New prediction approach for stabilizing time-varying systems under time-varying input delay. 2016 IEEE 55th conference on decision and control (CDC) (pp. 3178–3182).
   Google Scholar
• Mondié, S., & Michiels, W. (2003). Finite spectrum assignment of unstable time-delay systems with a safe implementation. IEEE Transactions on Automatic Control, 48(12), 2207–2212. doi: 10.1109/TAC.2003.820147
   Web of Science ®Google Scholar
• Najafi, M., Hosseinnia, S., Sheikholeslam, F., & Karimadini, M. (2013). Closed-loop control of dead time systems via sequential sub-predictors. International Journal of Control, 86(4), 599–609. doi: 10.1080/00207179.2012.751627
   Web of Science ®Google Scholar
• Najafi, M., Sheikholeslam, F., Wang, Q. G., & Hosseinnia, S. (2014). Robust H∞ control of single input-delay systems based on sequential sub-predictors. IET Control Theory & Applications, 8(13), 1175–1184. doi: 10.1049/iet-cta.2012.1004
   Web of Science ®Google Scholar
• Sanz, R., García, P., & Albertos, P. (2016). Enhanced disturbance rejection for a predictor-based control of LTI systems with input delay. Automatica, 72, 205–208. doi: 10.1016/j.automatica.2016.05.019
   Web of Science ®Google Scholar
• Sanz, R., García, P., & Albertos, P. (2018). A generalized smith predictor for unstable time-delay SISO systems. ISA Transactions, 72, 197–204. doi: 10.1016/j.isatra.2017.09.020
   PubMed Web of Science ®Google Scholar
• Sanz, R., García, P., Fridman, E., & Albertos, P. (2017). A predictive extended state observer for a class of nonlinear systems with input delay subject to external disturbances. 2017 IEEE 56th annual conference on decision and control (CDC) (pp. 4345–4350).
   Google Scholar
• Sanz, R., Garcia, P., Fridman, E., & Albertos, P. (2018). Rejection of mismatched disturbances for systems with input delay via a predictive extended state observer. International Journal of Robust and Nonlinear Control, 28(6), 2457–2467. doi: 10.1002/rnc.4027
   Web of Science ®Google Scholar
• Shustin, E., & Fridman, E. (2007). On delay-derivative-dependent stability of systems with fast-varying delays. Automatica, 43(9), 1649–1655. doi: 10.1016/j.automatica.2007.02.009
   Web of Science ®Google Scholar
• Smith, O. (1957). Closer control of loops with dead time. Chemical Engineering Progress, 53, 217–219.
   Google Scholar
• Suplin, V., Fridman, E., & Shaked, U. (2007). Sampled-data h∞ control and filtering: Nonuniform uncertain sampling. Automatica, 43(6), 1072–1083. doi: 10.1016/j.automatica.2006.11.024
   Web of Science ®Google Scholar
• Yao, J., Jiao, Z., & Ma, D. (2014). Rise-based precision motion control of dc motors with continuous friction compensation. IEEE Transactions on Industrial Electronics, 61(12), 7067–7075. doi: 10.1109/TIE.2014.2321344
   Web of Science ®Google Scholar
• Zhong, Q. C. (2004). On distributed delay in linear control laws – part I: Discrete-delay implementations. IEEE Transactions on Automatic Control, 49(11), 2074–2080. doi: 10.1109/TAC.2004.837531
   Web of Science ®Google Scholar