Cite

Aguilar-Ibanez, C., Sira-Ramirez, H., Acosta, J.Á. and Suarez-Castanon, M.S. (2021). An algebraic version of the active disturbance rejection control for second-order flat systems, International Journal of Control 94(1): 215–222. Search in Google Scholar

Astolfi, A., Karagiannis, D. and Ortega, R. (2007). Nonlinear and Adaptive Control with Applications, Springer, Luxembourg. Search in Google Scholar

Åström, K.J. and Eykhoff, P. (1971). System identification—A survey, Automatica 7(2): 123–162. Search in Google Scholar

Åström, K.J. and Wittenmark, B. (1971). Problems of identification and control, Journal of Mathematical Analysis and Applications 34(1): 90–113. Search in Google Scholar

Azhmyakov, V., Poznyak, A. and Gonzalez, O. (2013). On the robust control design for a class of nonlinearly affine control systems: The attractive ellipsoid approach, Journal of Industrial and Management Optimization 9(3): 579–593. Search in Google Scholar

Bartolini, G., Fridman, L., Pisano, A. and Usai, E. (2008). Modern Sliding Mode Control Theory: New Perspectives and Applications, Springer, New York. Search in Google Scholar

Boltyansky, V. (1999). Robust maximum principle in minimax control, International Journal of Control 72(4): 305–314. Search in Google Scholar

Chen, Z., Zheng, Q. and Gao, Z. (2007). Active disturbance rejection control of chemical processes, IEEE International Conference on Control Applications, CCA 2007, Singapore, pp. 855–861. Search in Google Scholar

Cheney, E.W. and Kincaid, D.R. (2012). Numerical Mathematics and Computing, Cengage Learning, Boston. Search in Google Scholar

Cortés-Romero, J., Jimenez-Triana, A., Coral-Enriquez, H. and Sira-Ramírez, H. (2017). Algebraic estimation and active disturbance rejection in the control of flat systems, Control Engineering Practice 61: 173–182. Search in Google Scholar

Davila, J. and Poznyak, A. (2011). Dynamic sliding mode control design using attracting ellipsoid method, Automatica 47(7): 1467–1472. Search in Google Scholar

de Jesús Rubio, J. (2016). Structure control for the disturbance rejection in two electromechanical processes, Journal of the Franklin Institute 353(14): 3610–3631. Search in Google Scholar

de Jesús Rubio, J., Ochoa, G., Balcazar, R. and Pacheco, J. (2015). Uniform stable observer for the disturbance estimation in two renewable energy systems, ISA Transactions 58: 155–164. Search in Google Scholar

Ding, S., Park, J.H. and Chen, C.-C. (2020). Second-order sliding mode controller design with output constraint, Automatica 112: 108704. Search in Google Scholar

Dullerud, G.E. and Paganini, F. (2013). A Course in Robust Control Theory: A Convex Approach, Springer Science & Business Media, Luxembourg. Search in Google Scholar

Edwards, C., Colet, E.F., Fridman, L., Colet, E.F. and Fridman, L.M. (2006). Advances in Variable Structure and Sliding Mode Control, Springer, New York. Search in Google Scholar

Ferreira, A., Bejarano, F.J. and Fridman, L.M. (2010). Robust control with exact uncertainties compensation: With or without chattering?, IEEE Transactions on Control Systems Technology 19(5): 969–975. Search in Google Scholar

Fliess, M. and Join, C. (2009). Model-free control and intelligent PID controllers: Towards a possible trivialization of nonlinear control?, 15th IFAC Symposium on System Identification (SYSID 2009), Saint-Malo, France. Search in Google Scholar

Fliess, M. and Join, C. (2013). Model-free control, International Journal of Control 86(12): 2228–2252. Search in Google Scholar

Fliess, M. and Sira-Ramírez, H. (2003). An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations 9: 151–168. Search in Google Scholar

Fliess, M. and Sira-Ramirez, H. (2008). Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques, in H. Garnier and L. Wang (Eds), Identification of Continuous-Time Models from Sampled Data, Springer, London, pp. 363–391. Search in Google Scholar

Freidovich, L.B. and Khalil, H.K. (2008). Performance recovery of feedback-linearization-based designs, IEEE Transactions on Automatic Control 53(10): 2324–2334. Search in Google Scholar

Gao, Z., Huang, Y. and Han, J. (2001). An alternative paradigm for control system design, Proceedings of the 40th IEEE Conference on Decision and Control, 2001, Orlando, USA, pp. 4578–4585. Search in Google Scholar

Gliklikh, Y.E. (2006). Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations, Abstract and Applied Analysis 2006, Article ID: 039786, DOI: 10.1155/AAA/2006/39786. Search in Google Scholar

Guo, B.-Z. and Zhao, Z.-l. (2011). On the convergence of an extended state observer for nonlinear systems with uncertainty, Systems & Control Letters 60(6): 420–430. Search in Google Scholar

Guo, B.-Z. and Zhao, Z.-L. (2013). On convergence of the nonlinear active disturbance rejection control for MIMO systems, SIAM Journal on Control and Optimization 51(2): 1727–1757. Search in Google Scholar

Han, J. (2009). From PID to active disturbance rejection control, IEEE Transactions on Industrial Electronics 56(3): 900–906. Search in Google Scholar

Kapitaniak, T. (2000). Chaos for Engineers: Theory, Applications, and Control, Springer, Heidelberg. Search in Google Scholar

Khalil, H.K. (2017). High-Gain Observers in Nonlinear Feedback Control, SIAM, Philadelphia. Search in Google Scholar

Khalil, H.K. and Praly, L. (2014). High-gain observers in nonlinear feedback control, International Journal of Robust and Nonlinear Control 24(6): 993–1015. Search in Google Scholar

Krstic,M., Kokotovic, P.V. and Kanellakopoulos, I. (1995). Nonlinear and Adaptive Control Design, Wiley, Hoboken. Search in Google Scholar

Lafont, F., Balmat, J.-F., Pessel, N. and Fliess, M. (2015). A model-free control strategy for an experimental greenhouse with an application to fault accommodation, Computers and Electronics in Agriculture 110: 139–149. Search in Google Scholar

Liu, K.-Z. and Yao, Y. (2016). Robust Control: Theory and Applications, Wiley, Hoboken. Search in Google Scholar

Moreno-Valenzuela, J. (2007). Velocity field control of robot manipulators by using only position measurements, Journal of the Franklin Institute 344(8): 1021–1038. Search in Google Scholar

Moreno-Valenzuela, J. (2019). A class of proportional-integral with anti-windup controllers for DC–DC buck power converters with saturating input, IEEE Transactions on Circuits and Systems II: Express Briefs 67(1): 157–161. Search in Google Scholar

Moreno-Valenzuela, J., Santibáñez, V. and Campa, R. (2008). On output feedback tracking control of robot manipulators with bounded torque input, International Journal of Control, Automation, and Systems 6(1): 76–85. Search in Google Scholar

Ordaz, P., Alazki, H., Sánchez, B. and Ordaz-Oliver, M. (2023). On the finite time stabilization via robust control for uncertain disturbed systems, International Journal of Applied Mathematics and Computer Science 33(1): 71–82, DOI: 10.34768/amcs-2023-0006. Search in Google Scholar

Parker, T.S. and Chua, L. (2012). Practical Numerical Algorithms for Chaotic Systems, Springer, New York. Search in Google Scholar

Petersen, I.R. and Tempo, R. (2014). Robust control of uncertain systems: Classical results and recent developments, Automatica 50(5): 1315–1335. Search in Google Scholar

Poznyak, A., Duncan, T., Pasik-Duncan, B. and Boltyanski, V. (2002). Robust maximum principle for multi-model LQ-problem, International Journal of Control 75(15): 1170–1177. Search in Google Scholar

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

Ramírez-Neria, M., Madonski, R., Luviano-Juárez, A., Gao, Z. and Sira-Ramírez, H. (2020). Design of ADRC for second-order mechanical systems without time-derivatives in the tracking controller, 2020 American Control Conference (ACC), Denver, USA, pp. 2623–2628. Search in Google Scholar

Ramírez-Neria, M., Sira-Ramírez, H., Garrido-Moctezuma, R. and Luviano-Juarez, A. (2014). Linear active disturbance rejection control of underactuated systems: The case of the Furuta pendulum, ISA Transactions 53(4): 920–928. Search in Google Scholar

Reyes, F. and Kelly, R. (1997). Experimental evaluation of identification schemes on a direct drive robot, Robotica 15(5): 563–571. Search in Google Scholar

Romero, J.C., Juárez, A.L., Sira-Ramírez, H. and Rodríguez, C.G. (2014). Algebraic Identification and Estimation Methods in Feedback Control Systems, Wiley, Hoboken. Search in Google Scholar

Rubio, J.D.J., Ochoa, G., Mujica-Vargas, D., Garcia, E., Balcazar, R., Elias, I., Cruz, D.R., Juarez, C.F., Aguilar, A. and Novoa, J.F. (2019). Structure regulator for the perturbations attenuation in a quadrotor, IEEE Access 7: 138244–138252. Search in Google Scholar

Sanchez, T. and Moreno, J.A. (2021). Homogeneous output-feedback control with disturbance-observer for a class of nonlinear systems, International Journal of Robust and Nonlinear Control 31(9): 3686–3707. Search in Google Scholar

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

Sira-Ramírez, H., Castro-Linares, R. and Puriel-Gil, G. (2014). An active disturbance rejection approach to leader-follower controlled formation, Asian Journal of Control 16(2): 382–395. Search in Google Scholar

Sira-Ramírez, H., Luviano-Juárez, A., Ramírez-Neria, M. and Zurita-Bustamante, E.W. (2018). Active Disturbance Rejection Control of Dynamic Systems: A Flatness Based Approach, Butterworth-Heinemann, Oxford. Search in Google Scholar

Tian, G. and Gao, Z. (2007). Frequency response analysis of active disturbance rejection based control system, IEEE International Conference on Control Applications, CCA 2007, Singapore, pp. 1595–1599. Search in Google Scholar

Utkin, V., Guldner, J. and Shi, J. (2017). Sliding Mode Control in Electro-Mechanical Systems, CRC Press, Boca Ratton. Search in Google Scholar

Zhao, S. and Gao, Z. (2013). An active disturbance rejection based approach to vibration suppression in two-inertia systems, Asian Journal of Control 15(2): 350–362. Search in Google Scholar

Zhou, W., Shao, S. and Gao, Z. (2009). A stability study of the active disturbance rejection control problem by a singular perturbation approach, Applied Mathematical Sciences 3(10): 491–508. Search in Google Scholar

eISSN:
2083-8492
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics