Dynamic Sliding Mode Control Based on a Full–Order Observer: Underactuated Electro–Mechanical System Regulation

1Andrade-Da Silva, J.M., Edwards, C. and Spurgeon, S.K. (2009). Linear matrix inequality based dynamic output feedback sliding mode control for uncertain plants, American Control Conference, ACC’09, St. Louis, USA, pp. 763–768.Search in Google Scholar

2Atassi, A.N. and Khalil, H.K. (1999). A separation principle for the stabilization of a class of nonlinear systems, IEEE Transactions on Automatic Control 44(9): 1672–1687.Search in Google Scholar

3Cao, K., Qian, C. and Gu, J. (2023). Global sampled-data stabilization via static output feedback for a class of nonlinear uncertain systems, International Journal of Robust and Nonlinear Control 33(4): 2913–2929.Search in Google Scholar

4Choi, H.H. and Ro, K. (2005). LMI-based sliding-mode observer design method, IEE Proceedings: Control Theory and Applications 152(1): 113–115.Search in Google Scholar

5Gahinet, P. and Pierre, A. (1994). A linear matrix inequality approach to H^∞ control, International Journal of Robust and Nonlinear Control 4(4): 421–448.Search in Google Scholar

6Haddad, W.M. and Chellaboina, V. (2011). Nonlinear Dynamical Systems and Control: A Lyapunov-based Approach, Princeton University Press, Princeton.Search in Google Scholar

7Jafari, M. and Mobayen, S. (2019). Second-order sliding set design for a class of uncertain nonlinear systems with disturbances: An LMI approach, Mathematics and Computers in Simulation 156: 110–125, DOI: 10.1016/j.matcom.2018.06.015.Search in Google Scholar

8Khalil, K.M. and Elshenawy, A. (2021). Robust model integral predictive control design for reference tracking dc servomechanism, 2021 10th International Conference on Intelligent Computing and Information Systems (ICICIS), Cairo, Egypt, pp. 243–253.Search in Google Scholar

9Kukurowski, N., Mrugalski, M., Pazera, M. and Witczak, M. (2022). Fault-tolerant tracking control for a non-linear twin-rotor system under ellipsoidal bounding, International Journal of Applied Mathematics and Computer Science 32(2): 171–183, DOI: 10.34768/amcs-2022-0013.Search in Google Scholar

10Liu, H. and Khalil, H.K. (2019). Output feedback stabilization using super-twisting control and high-gain observer, International Journal of Robust and Nonlinear Control 29(3): 601–617.Search in Google Scholar

11Luna, L., Asiain, E. and Garrido, R. (2020). Servo velocity control using a p+ ADOB controller, IFAC-PapersOnLine 53(2): 1300–1305.Search in Google Scholar

12Ordaz, P., Ordaz, M., Cuvas, C. and Santos, O. (2019). Reduction of matched and unmatched uncertainties for a class of nonlinear perturbed systems via robust control, International Journal of Robust and Nonlinear Control 29(8): 2510–2524.Search in Google Scholar

13Peng, C., Zhang, A. and Li, J. (2021). Neuro-adaptive cooperative control for high-order nonlinear multi-agent systems with uncertainties, International Journal of Applied Mathematics and Computer Science 31(4): 635–645, DOI: 10.34768/amcs-2021-0044.Search in Google Scholar

14Poznyak, A., Polyakov, A. and Azhmyakov, V. (2014). Attractive Ellipsoids in Robust Control, Springer, Boston.Search in Google Scholar

15Rudenko, O. and Hedberg, C. (2013). Strong and weak nonlinear dynamics: Models, classification, examples, Acoustical Physics 59(6): 644–650.Search in Google Scholar

16Ruderman, M. (2015). Presliding hysteresis damping of LuGre and Maxwell-slip friction models, Mechatronics 30: 225–230, DOI: 10.1016/j.mechatronics.2015.07.007.Search in Google Scholar

17Sánchez, B., Cuvas, C., Ordaz, P., Santos-Sánchez, O. and Poznyak, A. (2019). Full-order observer for a class of nonlinear systems with unmatched uncertainties: Joint attractive ellipsoid and sliding mode concepts, IEEE Transactions on Industrial Electronics 67(7): 5677–5686.Search in Google Scholar

18Shtessel, Y., Edwards, C., Fridman, L. and Levant, A. (2014). Sliding Mode Control and Observation, Springer, New York.Search in Google Scholar

19Silva, J.M.A.-D., Edwards, C. and Spurgeon, S.K. (2009). Sliding-mode output-feedback control based on LMIs for plants with mismatched uncertainties, IEEE Transactions on Industrial Electronics 56(9): 3675–3683.Search in Google Scholar

20Tsinias, J. and Theodosis, D. (2016). Luenberger-type observers for a class of nonlinear triangular control systems, IEEE Transactions on Automatic Control 61(12): 3797–3812.Search in Google Scholar

21Utkin, V., Poznyak, A., Orlov, Y.V. and Polyakov, A. (2020). Road Map for Sliding Mode Control Design, Springer, Cham.Search in Google Scholar

22Zhang, H., Zhao, X., Zhang, L., Niu, B., Zong, G. and Xu, N. (2022). Observer-based adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with input quantization, International Journal of Robust and Nonlinear Control 32(14): 8163–8185.Search in Google Scholar