zbMATH — the first resource for mathematics

Compensation of harmonic disturbances in nonlinear plants with parametric and functional uncertainty. (English. Russian original) Zbl 1232.93062
Autom. Remote Control 72, No. 1, 111-118 (2011); translation from Avtom. Mekh. 2011, No. 1, 121-129 (2011).
Summary: Methods of compensation of harmonic disturbances from the measurements of the output variable are developed for nonlinear plants with parametric and functional uncertainty. A new control algorithm is proposed, which outperforms known methods in simplicity of implementation and some other characteristics.

93C73 Perturbations in control/observation systems
93B40 Computational methods in systems theory (MSC2010)
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
Full Text: DOI
[1] Marino, R., Santosuosso, G.L., and Tomei, P., Robust Adaptive Compensation of Biased Sinusoidal Disturbances with Unknown Frequency, Automatica, 2003, vol. 39, pp. 1755–1761. · Zbl 1054.93031 · doi:10.1016/S0005-1098(03)00170-5
[2] Bobtsov, A.A. and Kremlev, A.S., Adaptive Compensation of Biased Sinusoidal Disturbances with Unknown Frequency, in Proc. 16th IFAC World Congress, Prague, Czech Republic, 2005. · Zbl 1126.93426
[3] Bobtsov, A.A. and Kremlev, A.S., An Algorithm of Compensation of Unknown Sinusoidal Disturbance in Linear Non-minimum Phase Plants, Mekhatron. Avtomatiz. Upravlen., 2008, no. 10, pp. 14–17.
[4] Nikiforov, V.O., Adaptivnoe i robastnoe upravlenie s kompensatsiei vozmushchenii (Adaptive and Robust Control with Disturbance Compensation), St. Petersburg: Nauka, 2003.
[5] Bobtsov, A.A., Output Control Algorithm with Compensation of Biased Harmonic Disturbances, Autom. Remote Control, 2008, no. 8, pp. 1289–1296. · Zbl 1156.93027
[6] Bobtsov, A.A., Adaptive Output Control with Compensation of Biased Harmonic Disturbances, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2009, no. 1, pp. 45–48. · Zbl 1217.93080
[7] Bobtsov, A.A., A Note to Output Feedback Adaptive Control for Uncertain System with Static Nonlinearity, Automatica, 2005, no. 12, pp. 1277–1280. · Zbl 1100.93507
[8] Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000. · Zbl 0962.93001
[9] Fradkov, A.L., Synthesis of Adaptive System of Stabilization of Linear Dynamic Plants, Autom. Remote Control, 1974, no. 12, pp. 1960–1966. · Zbl 0307.93024
[10] Bobtsov, A.A. and Nikolaev, N.A., Fradkov Theorem-based Design of the Control of Nonlinear Systems with Functional and Parametric Uncertainties Autom. Remote Control, 2005, no. 1, pp. 108–118. · Zbl 1130.93347
[11] Aranovskii, S.V., Bobtsov, A.A., and Pyrkin, A.A., Adaptive Observer of an Unknown Sinusoidal Output Disturbance for Linear Plants, Autom. Remote Control, 2009, no. 11, pp. 1862–1870. · Zbl 1187.93014
[12] Aranovskii, S.V., Bardov, V.M., Bobtsov, A.A, et al., Observer Design in the Presence of Disturbances Affecting the Measurements of the Plant Output, Izv. Vyssh. Uchebn. Zaved., Priborostroenie, 2009, no. 11, pp. 28–32.
[13] Pyrkin, A.A., Adaptive Algorithm to Compensate Parametrically Uncertain Biased Disturbance of a Linear Plant with Delay in the Control Channel, Autom. Remote Control, 2010, no. 8, pp. 1562–1577. · Zbl 1218.93043
[14] Pyrkin, A., Smyshlyaev, A., Bekiaris-Liberis, N., and Krstic, M., Rejection of Sinusoidal Disturbance of Unknown Frequency for Linear System with Input Delay, in Am. Control Conf., Baltimore, USA, 2010.
[15] Pyrkin, A., Smyshlyaev, A., Bekiaris-Liberis, N., and Krstic, M., Output Control Algorithm for Unstable Plant with Input Delay and Cancelation of Unknown Biased Harmonic Disturbance, in Proc. 9th IFAC Workshop on Time Delay Systems, Prague, Czech Republic, 2010.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.