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Articles

Guaranteed set-membership state estimation of an octorotor's position for radar applications

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Pages 2760-2770 | Received 20 Jul 2018, Accepted 13 Sep 2020, Published online: 15 Oct 2020

References

  • Abdolhosseini, M., Zhang, Y., & Rabbath, C. A. (2013). An efficient model predictive control scheme for an unmanned quadrotor helicopter. Journal of Intelligent & Robotic Systems, 70(1–4), 27–38. https://doi.org/10.1007/s10846-012-9724-3
  • Alamo, T., Bravo, J. M., & Camacho, E. F. (2005). Guaranteed state estimation by zonotopes. Automatica, 41(6), 1035–1043. https://doi.org/10.1016/j.automatica.2004.12.008
  • Ben Chabane, S. (2015). Fault detection techniques based on set-membership state estimation for uncertain systems [Doctoral dissertation]. Université Paris-Saclay.
  • Ben Chabane, S., Stoica Maniu, C., Alamo, T., Camacho, E. F., & Dumur, D. (2014a). A new approach for guaranteed ellipsoidal state estimation. In 19th World Congress IFAC (pp. 6533–6538).
  • Ben Chabane, S., Stoica Maniu, C., Alamo, T., Camacho, E. F., & Dumur, D. (2014b). Ellipsoidal state estimation for systems with interval uncertainties. In IEEE Conference on Decision and Control (pp. 2603–2608).
  • Ben Chabane, S., Stoica Maniu, C., Camacho, E. F., Alamo, T., & Dumur, D. (2016). Fault detection using set-membership estimation based on multiple model systems. In European Control Conference (pp. 1105–1110).
  • Bergman, K., & Ekström, J. (2014). Modeling, estimation and attitude control of an octorotor using PID and L1 adaptive control techniquesModeling, estimation and attitude control of an octorotor using PID and L1 adaptive control techniques [Master's thesis]. Linkopings University.
  • Bertsekas, D., & Rhodes, I. (1971). Recursive state estimation for a set-membership description of uncertainty. IEEE Transactions on Automatic Control, 16(2), 117–128. https://doi.org/10.1109/TAC.1971.1099674
  • Bhotto, M. Z. A., & Antoniou, A. (2011). Robust set-membership affine-projection adaptive-filtering algorithm. IEEE Transactions on Signal Processing, 60(1), 73–81. https://doi.org/10.1109/TSP.2011.2170980
  • Carrara, W., Goodman, R., & Majewski, R. (1995). Spotlight synthetic aperture radar: Signal processing algorithms. Artech House, Inc.
  • Casbeer, D. W., Beard, R. W., McLain, T. W., Li, S. M., & Mehra, R. K. (2005). Forest fire monitoring with multiple small UAVs. In American Control Conference (pp. 3530–3535).
  • Chachuat, B., Houska, B., Paulen, R., Peri'c, N., Rajyaguru, J., & Villanueva M. E. (2015). Set-theoretic approaches in analysis, estimation and control of nonlinear systems. IFAC-PapersOnLine, 48(8), 981–995. https://doi.org/10.1016/j.ifacol.2015.09.097
  • Chernousko, F. L. (1994). State estimation for dynamic systems. CRC Press.
  • Chevet, T., Makarov, M., Stoica Maniu, C., Hinostroza, I., & Tarascon, P. (2017). State estimation of an octorotor with unknown inputs. Application to radar imaging. In 21st International Conference on System Theory, Control and Computing (pp. 723–728).
  • Combastel, C. (2003). A state bounding observer based on zonotopes. In European Control Conference (pp. 2589–2594).
  • Combastel, C. (2015). Zonotopes and Kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence. Automatica, 55, 265–273. https://doi.org/10.1016/j.automatica.2015.03.008
  • Daryin, A. N., & Kurzhanski, A. B. (2012). Estimation of reachability sets for large-scale uncertain systems: From theory to computation. In Proceedings of IEEE Conference on Decision and Control (pp. 7401–7406).
  • Daryin, A. N., Kurzhanski, A. B., & Vostrikov, I. V. (2006). Reachability approaches and ellipsoidal techniques for closed-loop control of oscillating systems under uncertainty. In IEEE Conference on Decision and Control (pp. 6390–6395).
  • De Marina, H. G., Pereda, F. J., Giron-Sierra, J. M., & Espinosa, F. (2012). UAV attitude estimation using unscented Kalman filter and TRIAD. IEEE Transactions on Industrial Electronics, 59(11), 4465–4474. https://doi.org/10.1109/TIE.2011.2163913
  • Durieu, C., Walter, E., & Polyak, B. (2001). Multi-input multi-output ellipsoidal state bounding. Journal of Optimization Theory and Applications, 111(2), 273–303. https://doi.org/10.1023/A:1011978200643
  • Fogel, E., & Huang, Y. F. (1982). On the value of information in system identification-bounded noise case. Automatica, 18(2), 229–238. https://doi.org/10.1016/0005-1098(82)90110-8
  • Garcia, R. A., Raffo, G. V., Ortega, M. G., & Rubio, F. R. (2015). Guaranteed quadrotor position estimation based on GPS refreshing measurements. IFAC Workshop on Advanced Control and Navigation for Autonomous Aerospace Vehicles, 48(9), 67–72.
  • Gonzalez-Partida, J. T., Almorox-Gonzalez, P., Burgos-Garcia, M., & Dorta-Naranjo B. P. (2008). SAR system for UAV operation with motion error compensation beyond the resolution cell. Sensors, 8(5), 3384–3405. https://doi.org/10.3390/s8053384
  • Hausamann, D., Zirnig, W., Schreier, G., & Strobl, P. (2005). Monitoring of gas pipelines – a civil UAV application. Aircraft Engineering and Aerospace Technology, 77(5), 352–360. https://doi.org/10.1108/00022660510617077
  • Hoffmann, H. H., Gabriel, M., & Waslander, S. L. (2007). Quadrotor helicopter flight dynamics and control: Theory and experiment. In Proceedings of the AIAA Guidance, Navigation, and Control Conference.
  • Kada, B., Munawar, K., Shaikh, M., Hussaini, M., & Al-Saggaf, U. (2016). UAV attitude estimation using nonlinear filtering and low-cost mems sensors. In 7th IFAC Symposium on Mechatronic Systems (Vol. 49. pp. 521–528).
  • Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35–45. https://doi.org/10.1115/1.3662552
  • Kingston, D., & Beard, R. (2004). Real-time attitude and position estimation for small UAVs using low-cost sensors. In AIAA 3rd Unmanned Unlimited Technical Conference, Workshop and Exhibit (p. 6488).
  • Kurzhanski, A. B., & Vályi, I. (1996). Ellipsoidal calculus for estimation and control. Birkhaüser.
  • Laliberte, A. S., & Rango, A. (2009). Texture and scale in object-based analysis of subdecimeter resolution unmanned aerial vehicle (UAV) imagery. IEEE Transactions on Geoscience and Remote Sensing, 47(3), 761–770. https://doi.org/10.1109/TGRS.2008.2009355
  • Le, V. T. H., Stoica, C., Alamo, T., Camacho, E. F., & Dumur, D. (2013). Zonotopic guaranteed state estimation for uncertain systems. Automatica, 49(11), 3418–3424. https://doi.org/10.1016/j.automatica.2013.08.014
  • Lima, M. V., & Diniz, P. S. (2010). Steady-state analysis of the set-membership affine projection algorithm. In 2010 IEEE International Conference on Acoustics, Speech and Signal Processing (pp. 3802–3805).
  • Makarov, M., Stoica Maniu, C., Tebbani, S., Hinostroza, I., Moreira Beltrami, M., Kienitz, J., Menegazzi, R., Moreno, C. S., Rocheron, T., & Lombarte, J. R. (2015). Octorotor UAVs for radar applications: modeling and analysis for control design. In Workshop on Research, Education and Development of Unmanned Aerial Systems (pp. 288–297).
  • Merhy, D., Alamo, T., Stoica Maniu, C., & Camacho, E. F. (2018). Zonotopic constrained Kalman filter based on a dual formulation. In IEEE Conference on Decision and Control (pp. 6396–6401).
  • Merhy, D., Stoica Maniu, C., Alamo, T., Camacho, E. F., & Ben Chabane, S. (2017). Comparison between two state estimation techniques for linear systems. In 20th IFAC World Congress (pp. 4855–4859).
  • Moreira, A., Prats-Iraola, P., Younis, M., Krieger, G., Hajnesk, I., & Papathanassiou, K. P. (2013). A tutorial on synthetic aperture radar. IEEE Geoscience and Remote Sensing Magazine, 1(1), 6–43. https://doi.org/10.1109/MGRS.2013.2248301
  • Nesterov, Y., & Nemirovski, A. (1994). Interior point polynomial methods in convex programming: Theory and applications. Society for Industrial and Applied Mathematics.
  • Nex, F., & Remondino, F. (2014). UAV for 3D mapping applications: A review. Applied Geomatics, 6(1), 1–15. https://doi.org/10.1007/s12518-013-0120-x
  • Paulen, R., Villanueva, M. E., & Chachuat, B. (2016, September). Guaranteed parameter estimation of non-linear dynamic systems using high-order bounding techniques with domain and CPU-time reduction strategies. IMA Journal of Mathematical Control and Information, 33(3), 563–587. https://doi.org/10.1093/imamci/dnu055
  • Polyak, B., Nazin, S. A., Durieu, C., & Walter, E. (2004). Ellipsoidal parameter or state estimation under model uncertainty. Automatica, 40(7), 1171–1179. https://doi.org/10.1016/j.automatica.2004.02.014
  • Pourasghar, M., Puig, V., & Ocampo-Martinez, C. (2016). Comparison of set-membership and interval observer approaches for state estimation of uncertain systems. In European Control Conference (pp. 1111–1116).
  • Puig, V. (2010). Fault diagnosis and fault tolerant control using set-membership approaches: Application to real case studies. International Journal of Applied Mathematics and Computer Science, 20(4), 619–635. https://doi.org/10.2478/v10006-010-0046-y
  • Schweppe, F. C. (1968). Recursive state estimation: Unknown but bounded errors and system inputs. IEEE Transactions on Automatic Control, 13(1), 22–28. https://doi.org/10.1109/TAC.1968.1098790
  • Streif, S., Kim, K. K. K., Rumschinski, P., Kishida, M., Shen, D. E., Findeisen, R., & Braatz, R. D. (2013). Robustness analysis, prediction and estimation for uncertain biochemical networks. IFAC Proceedings Volumes, 46(32), 1–20. https://doi.org/10.3182/20131218-3-IN-2045.00190
  • Teixeira, B. O., Tôrres, L. A., Iscold, P., & Aguirre, L. A. (2011). Flight path reconstruction – a comparison of nonlinear Kalman filter and smoother algorithms. Aerospace Science and Technology, 15(1), 60–71. https://doi.org/10.1016/j.ast.2010.07.005
  • Vandenberghe, L., & Boyd, S. (1994). Positive definite programming. Mathematical Programming: State of the, Art, 276–308.
  • Walter, E., & Piet-Lahanier, H. (1989). Exact recursive polyhedral description of the feasible parameter set for bounded-error models. IEEE Transactions on Automatic Control, 34(8), 911–915. https://doi.org/10.1109/9.29443
  • Wang, Y., & Puig, V. (2016). Zonotopic extended Kalman filter and fault detection of discrete-time nonlinear systems applied to a quadrotor helicopter. In 3rd Conference on Control and Fault-Tolerant Systems (pp. 367–372).
  • Wang, Y., Puig, V., Cembrano, G., & Alamo, T. (2016). Guaranteed state estimation and fault detection based on zonotopes for differential-algebraic-equation systems. In 3rd Conference on Control and Fault-Tolerant Systems (pp. 478–484).
  • Werner, S., Apolinário, J. A., Jr., & Diniz P. S. (2007). Set-membership proportionate affine projection algorithms. EURASIP Journal on Audio, Speech, and Music Processing, 2007(1), 1–10. https://doi.org/10.1155/2007/34242
  • Werner, S., & Diniz, P. S. (2001). Set-membership affine projection algorithm. IEEE Signal Processing Letters, 8(8), 231–235. https://doi.org/10.1109/97.935739
  • Yan, J., Guo, J., Wang, Q. L. K., & Liu, X. (2008). X-band mini SAR radar on eight-rotor mini-UAV. In IEEE Geoscience and Remote Sensing Symposium (pp. 6702–6705).
  • Zaugg, E., Hudson, D., & Long, D. (2006). The BYU SAR: A small, student-built SAR for UAV operation. In IEEE Geoscience and Remote Sensing Symposium (pp. 411–414).

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