Abstract
We propose a robust static control algorithm for linear objects under parametric and structural uncertainty and an external uncontrollable disturbance. The resulting algorithm ensures that the object output tracks the reference signal with the necessary precision. We give modeling results that illustrate that the algorithm operates correctly.
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References
Luinberger, D., Observers for Multivariable Systems, IEEE Trans. Automat. Control, 1966, vol. AC-11, no. 2, pp. 190–197.
Kalman, R.E., A New Approach to Linear Filtering and Prediction Problems, Trans. ASME-J. Basic Eng., 1960, no. 82 (Ser. D), pp. 35–45.
Esfandiary, F. and Khalil, H.K., Output Feedback Stabilization of Fully Linearizable Systems, Int. J. Control, 1992, vol. 56, no. 5, pp. 1007–1037.
Bobtsov, A.A., A Robust Control Algorithm for Tracking the Reference Signal, Autom. Remote Control, 2003, vol. 64, no. 6, pp. 943–950.
Slotine, J.J.E., Hedrick, J.K., and Misawa, E.A., On Sliding Observers for Nonlinear Systems, J. Dynam. Syst., Meas., Control, 1987, vol. 109, pp. 245–252.
Utkin, V.I., Sliding-Modes in Control Optimization, Berlin: Springer-Verlag, 1992.
Han, J., A Class of Extended State Observers for Uncertain System, Control Decision, 1995, vol. 10, no. 1, pp. 85–88.
Wang, W. and Gao, Z., A Comparison Study of Advanced State Observer Design Techniques, Proc. Am. Control Conf., 2003, pp. 4754–4759.
Veluvolu, K.C., Kim, M.Y., and Lee, D., Nonlinear Sliding Mode High-Gain Observers for Fault Estimation, Int. J. Syst. Sci., 2011, vol. 42, no. 7, pp. 1065–1074.
Atassi, A.N. and Khalil, H.K., A Separation Principle for the Stabilization of Class of Nonlinear Systems, IEEE Trans. Automat. Control, 1999, vol. 44, no. 9, pp. 1672–1687.
Tsykunov, A.M., Robust Control Algorithms with Compensation of Bounded Perturbations, Autom. Remote Control, 2007, vol. 68, no. 7, pp. 1213–1224.
Letov, A.M., Dinamika poleta i upravlenie (Flight Dynamics and Control), Moscow: Nauka, 1969.
Bukov, V.N., Vlozhenie sistem. Analiticheskii podkhod k analizu i sintezu matrichnykh sistem (System Embedding. Analytical Approach to Analysis and Design of the Matrix Systems), Kaluga: Nauchn. Lit. N.F. Bochkarevoi, 2006.
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Original Russian Text © I.B. Furtat, 2015, published in Avtomatika i Telemekhanika, 2015, No. 3, pp. 94–107.
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Furtat, I.B. Robust static control algorithm for linear objects. Autom Remote Control 76, 446–457 (2015). https://doi.org/10.1134/S000511791503008X
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DOI: https://doi.org/10.1134/S000511791503008X