Reduced-order interval observer design for continuous-time descriptor LPV systems with uncertainties

References

• Belov, A. A., & Andrianova, O. G. (2019). Robust state-feedback control for discrete-time descriptor systems with norm-bounded parametric uncertainties. International Journal of Systems Science, 50(6), 1303–1312. https://doi.org/10.1080/00207721.2019.1599079
   Web of Science ®Google Scholar
• Berman, A., & Plemmons, R. J. (1994). Nonnegative matrices in the mathematical sciences. Society for Industrial and Applied Mathematics.
   Google Scholar
• Chambon, E., Burlion, L., & Apkarian, P. (2016). Overview of linear time-invariant interval observer design: Towards a non-smooth optimisation-based approach. IET Control Theory & Applications, 10(11), 1258–1268. https://doi.org/10.1049/cth2.v10.11
   Web of Science ®Google Scholar
• Chebotarev, S., Efimov, D., Raïssi, T., & Zolghadri, A. (2015). Interval observers for continuous-time LPV systems with L1/L2 performance. Automatica, 58, 82–89. https://doi.org/10.1016/j.automatica.2015.05.009
   Web of Science ®Google Scholar
• Chen, Y., Yang, J., Wang, Z., & Zhang, H. (2021). Reduced-order observer-based interval estimation for discrete-time linear systems. Systems Science & Control Engineering, 9(sup. 1), 50–59. https://doi.org/10.1080/21642583.2020.1843085
   Google Scholar
• Duan, G. R. (2014). Generalized sylvester equations: Unified parametric solutions. Crc Press.
   Google Scholar
• Efimov, D., Perruquetti, W., & Richard, J. P. (2013). Interval estimation for uncertain systems with time-varying delays. International Journal of Control, 86(10), 1777–1787. https://doi.org/10.1080/00207179.2013.796526
   Web of Science ®Google Scholar
• Efimov, D., Polyakov, A., & Richard, J. P. (2014). Interval estimation for systems with time-delays and algebraic constraints. In European control conference (pp. 678–683). IEEE.
   Google Scholar
• Efimov, D., Polyakov, A., & Richard, J. P. (2015). Interval observer design for estimation and control of time-delay descriptor systems. European Journal of Control, 23, 26–35. https://doi.org/10.1016/j.ejcon.2015.01.004
   Web of Science ®Google Scholar
• Efimov, D., & Raïssi, T. (2016). Design of interval observers for uncertain dynamical systems. Automation and Remote Control, 77(2), 191–225. https://doi.org/10.1134/S0005117916020016
   Web of Science ®Google Scholar
• Gu, D. K., Liu, L. W., & Duan, G. R. (2019). A parametric method of linear functional observers for linear time-varying systems. International Journal of Control, Automation and Systems, 17(3), 647–656. https://doi.org/10.1007/s12555-018-0155-1
   Web of Science ®Google Scholar
• Gu, D. K., Liu, L. W., & Duan, G. R. (2020). Design of reduced-order interval observers for LTI systems with bounded time-varying disturbances: A parametric approach. International Journal of Control, 93(11), 2551–2563. https://doi.org/10.1080/00207179.2019.1675901
   Web of Science ®Google Scholar
• Hammer, J. (2021). Optimal robust state-feedback control of nonlinear systems: Minimal time to target. International Journal of Control, 94(2), 433–451. https://doi.org/10.1080/00207179.2019.1597279
   Web of Science ®Google Scholar
• Krebs, S., Bächle, M., & Hohmann, S. (2018). Coupled boundary interval observer for LPV systems subject to uncertainties in input, output and parameters. Automatica, 95, 426–432. https://doi.org/10.1016/j.automatica.2018.06.012
   Web of Science ®Google Scholar
• Krebs, S., Schnurr, C., Pfeifer, M., Weigold, J., & Hohmann, S. (2016). Reduced-order hybrid interval observer for verified state estimation of an induction machine. Control Engineering Practice, 57, 157–168. https://doi.org/10.1016/j.conengprac.2016.09.004
   Web of Science ®Google Scholar
• Krokavec, D., & Filasová, A. (2020). Reduced-order interval observers for uncertain linear metzlerian systems. In International conference on system theory, control and computing (pp. 160–165). IEEE.
   Google Scholar
• Li, J., Wang, Z., Shen, Y., & Rodrigues, M. (2019). Zonotopic fault detection observer for linear parameter-varying descriptor systems. International Journal of Robust and Nonlinear Control, 29(11), 3426–3445. https://doi.org/10.1002/rnc.v29.11
   Web of Science ®Google Scholar
• Li, J., Wang, Z., Zhang, W., Raïssi, T., & Shen, Y. (2019). Interval observer design for continuous-time linear parameter-varying systems. Systems & Control Letters, 134, 104541. https://doi.org/10.1016/j.sysconle.2019.104541
   Web of Science ®Google Scholar
• Luenberger, D. (1971). An introduction to observers. IEEE Transactions on Automatic Control, 16(6), 596–602. https://doi.org/10.1109/TAC.1971.1099826
   Web of Science ®Google Scholar
• Martinez, J. J., Loukkas, N., & Meslem, N. (2020). H-infinity set-membership observer design for discrete-time LPV systems. International Journal of Control, 93(10), 2314–2325. https://doi.org/10.1080/00207179.2018.1554910
   Web of Science ®Google Scholar
• Pang, B., & Zhang, Q. (2018). Interval observers design for polynomial fuzzy singular systems by utilizing sum-of-squares program. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(6), 1999–2006. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• Pourasghar, M., Puig, V., Ocampo-Martinez, C., & Zhang, Q. (2017). Reduced-order interval-observer design for dynamic systems with time-invariant uncertainty. IFAC-PapersOnLine, 50(1), 6271–6276. https://doi.org/10.1016/j.ifacol.2017.08.858
   Google Scholar
• Ren, W., You, R., Yu, W., & Guo, S. (2020). Reduced-order and full-order interval observers design for discrete-time system. IEEE Access, 8, 103309–103316. https://doi.org/10.1109/Access.6287639
   Google Scholar
• Rodrigues, M., Hamdi, H., Theilliol, D., Mechmeche, C., & BenHadj Braiek, N. (2015). Actuator fault estimation based adaptive polytopic observer for a class of LPV descriptor systems. International Journal of Robust and Nonlinear Control, 25(5), 673–688. https://doi.org/10.1002/rnc.v25.5
   Web of Science ®Google Scholar
• Rudra, S., Barai, R. K., & Maitra, M. (2017). Block backstepping design of nonlinear state feedback control law for underactuated mechanical systems. Springer Singapore.
   Google Scholar
• Stevens, B. L., Lewis, F. L., & Johnson, E. N. (2015). Aircraft control and simulation: Dynamics, controls design, and autonomous systems. John Wiley & Sons.
   Google Scholar
• Tan, J., Xu, F., Olaru, S., Wang, X., & Liang, B. (2019). ZKF-based optimal robust fault estimation of descriptor LPV systems with measurement error-affected scheduling variables. ISA Transactions, 94, 119–134. https://doi.org/10.1016/j.isatra.2019.04.015
   PubMed Web of Science ®Google Scholar
• Tang, W., Wang, Z., Zhang, Q., & Shen, Y. (2020). Set-membership estimation for linear time-varying descriptor systems. Automatica, 115, 108867. https://doi.org/10.1016/j.automatica.2020.108867
   Web of Science ®Google Scholar
• Thabet, R. E. H., Raïssi, T., Combastel, C., Efimov, D., & Zolghadri, A. (2014). An effective method to interval observer design for time-varying systems. Automatica, 50(10), 2677–2684. https://doi.org/10.1016/j.automatica.2014.08.035
   Web of Science ®Google Scholar
• Wang, Y., Wang, Z., Puig, V., & Cembrano, G. (2018). Zonotopic set-membership state estimation for discrete-time descriptor LPV systems. IEEE Transactions on Automatic Control, 64(5), 2092–2099. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Wang, Z., Shen, Y., & Guo, S. (2018). Interval observer design for linear descriptor systems. Control Theory and Applications, 35(7), 956–962. https://doi.org/10.7641/CTA.2017.70328
   Google Scholar
• Xu, F., Yang, S., & Wang, X. (2020). A novel set-theoretic interval observer for discrete linear time-Invariant systems. IEEE Transactions on Automatic Control, 66(2), 773–780. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Xu, F., Yang, S., Wang, X., & Wang, Y. (2020). Interval observer for discrete periodic time-varying descriptor systems. IFAC-PapersOnLine, 53(2), 4493–4498. https://doi.org/10.1016/j.ifacol.2020.12.456
   Google Scholar
• Zbranek, P., & Vesely, L. (2010). Nonlinear state estimation using interval computation in pmsm state observer simulation. In International conference on autonomous and intelligent systems (pp. 1–5). IEEE.
   Google Scholar
• Zhang, Q., Liu, C., & Zhang, X. (2012). Complexity, analysis and control of singular biological systems (Vol. 421). Springer Science & Business Media.
   Google Scholar
• Zhang, W., Wang, Z., Raïssi, T., Wang, Y., & Shen, Y. (2020). A state augmentation approach to interval fault estimation for descriptor systems. European Journal of Control, 51, 19–29. https://doi.org/10.1016/j.ejcon.2019.06.006
   Web of Science ®Google Scholar
• Zheng, G., Efimov, D., Bejarano, F. J., Perruquetti, W., & Wang, H. (2016). Interval observer for a class of uncertain nonlinear singular systems. Automatica, 71, 159–168. https://doi.org/10.1016/j.automatica.2016.04.002
   Web of Science ®Google Scholar
• Zhou, M., Cao, Z., Zhou, M., Wang, J., & Wang, Z. (2019). Zonotoptic fault estimation for discrete-time LPV systems with bounded parametric uncertainty. IEEE Transactions on Intelligent Transportation Systems, 21(2), 690–700. https://doi.org/10.1109/TITS.6979
   Web of Science ®Google Scholar