Abstract
We design a control algorithm for objects under parametric uncertainty, external bounded disturbances, and saturation of the controlled signal. We assume that the object model is described by a linear dynamical system with arbitrary relative degree and several inputs and outputs. The developed algorithm provides approximate tracking of the output of the control object for a reference signal. We obtain sufficient stability conditions for the closed system that depend on object parameters, reference model, and the controller. We show modeling results that illustrate the operation of the developed scheme.
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Berg, J., Hammett, K., Schwartz, C., et al., An Analysis of the Destabilizing Effect of Daisy Chained Rate-limited Actuators, IEEE Trans. Control Syst. Technol., 1996, vol. 4, pp. 171–176.
Krstic, M., Krupadanam, A., and Jacobson, C., Self-tuning Control of a Nonlinear Model of Combustion Instabilities, IEEE Trans. Autom. Control, 1999, vol. 7, pp. 424–436.
Lozier, J.C., A Steady-State Approach to the Theory of Saturable Servo Systems, IRE Trans. Autom. Control, 1956, May, pp. 19–39.
Kapasouris, P. and Athans, M., Multivariable Control Systems with Saturating Actuators Antireset Windup Strategies, Proc. Am. Control Conf., Boston, 2004, pp. 1579–1584.
Edwards, C. and Postlethwaite, I., Anti-Windup and Bumpless-Transfer Schemes, Automatica, 1998, vol. 34, no. 2, pp. 199–210.
Monopoli, R., Adaptive Control for Systems for Hard Saturation, Proc. 14th IEEE Conf. on Decision and Control, Houston, 1975, pp. 841–842.
Tsykunov, A.M., Adaptivnoe i robastnoe upravlenie dinamicheskimi ob”ektami (Adaptive and Robust Control over Dynamic Objects), Moscow: Fizmatlit, 2009.
Wen, C., Zhou, J., Liu, Z., et al., Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance, IEEE Trans. Autom. Control, 2011, vol. 56, no. 7, pp. 1672–1678.
Schwager, M. and Annaswamy, A.M., Direct Adaptive Control of Multi-Input Plants with Magnitude Saturation Constrains, Proc. 44th IEEE Conf. on Decision and Control and the Eur. Control Conf., Seville, 2005, pp. 783–788.
Tsykunov, A.M., Robust Control Algorithms with Compensation of Bounded Perturbations, Autom. Remote Control, 2007, vol. 68, no. 7, pp. 1213–1224.
Atassi, A.N. and Khalil, H.K., A Separation Principle for the Stabilization of Class of Nonlinear Systems, IEEE Trans. Autom. Control, 1999, vol. 44, no. 9, pp. 1672–1687.
Bouyahiaoui, C., Grigoriev, L.I., Laaouad, F., et al., Optimal Fuzzy Control to Reduce Energy Consumption in Distillation Columns, Autom. Remote Control, 2005, vol. 66, no. 2, pp. 200–208.
Skogestad, S., Morari, M., and Doyle, J., Robust Control of Ill-conditioned Plants: High-purity Distillation, IEEE Trans. Autom. Control, 1988, vol. 33, no. 12, pp. 1092–1105.
Furtat, I., Fradkov, A., and Tsykunov, A., Robust Synchronization of Linear Dynamical Networks with Compensation of Disturbances, Int. J. Robust Nonlin. Control, 2014, vol. 24, no. 17, pp. 2774–2784.
Brusin, V.A., On a Class of Singularly Disturbed Adaptive Systems. I, Autom. Remote Control, 1995, vol. 56, no. 4. pp. 552–559.
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Original Russian Text © I.B. Furtat, 2017, published in Avtomatika i Telemekhanika, 2017, No. 12, pp. 100–117.
This paper was recommended for publication by P.S. Shcherbakov, a member of the Editorial Board
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Furtat, I.B. Design of a control algorithm for objects with parametric uncertainty, disturbances, and input signal saturation. Autom Remote Control 78, 2178–2192 (2017). https://doi.org/10.1134/S0005117917120062
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DOI: https://doi.org/10.1134/S0005117917120062