×

Second order sliding mode block control of single-phase induction motors. (English) Zbl 1284.93065

Summary: The authors propose a robust nonlinear controller based on a block control linearization technique combined with a second order sliding mode super-twisting algorithm for controlling the rotor speed of single-phase induction motors. The block control approach is used to design a sliding manifold in terms of the stator current and its desired value. The super-twisting sliding mode algorithm is applied then to render the designed manifold be attractive. A nonlinear observer is designed to estimate the unmeasured variables (rotor flux linkages and torque load).

MSC:

93B12 Variable structure systems
93B35 Sensitivity (robustness)
78A55 Technical applications of optics and electromagnetic theory
93C10 Nonlinear systems in control theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Ba-thunya AS Khopkar R Kexin W Toliyat HA Single phase induction motor drives-a literature survey Proceedings of IEEE International Electric Machines and Drives Conference 2001 911 916
[2] Lettenmaier, Single-phase induction motor with an electrically controlled capacitor, IEEE Transactions on Industry Applications 27 (1) pp 38– (1991) · doi:10.1109/28.67530
[3] Law, A single phase induction motor voltage controller with improved performance, IEEE Transactions Power Electron PE-1 (4) pp 240– (1986) · doi:10.1109/TPEL.1986.4766316
[4] Liu, A maximum torque control with a controlled capacitor for a single-phase induction motor, IEEE Transactions on Industrial Electronics 42 (1) pp 17– (1995) · doi:10.1109/41.345841
[5] Muljadi, Adjustable ac capacitor for a single-phase induction motor, IEEE Transactions on Industry Applications 29 (3) pp 479– (1993) · doi:10.1109/28.222415
[6] Bartolini G Ferrara A Giacomini L A backstepping second order variable structure control design for a class of uncertain nonlinear systems Proceedings of the 36th Conferencie on decision & control 1997 4026 4031
[7] Drakunov, Sliding mode control in dynamic systems, International Journal of Control 55 pp 1029– (1992) · Zbl 0745.93031 · doi:10.1080/00207179208934270
[8] Utkin, Sliding Mode in Control and Optimization (1992) · doi:10.1007/978-3-642-84379-2
[9] Utkin, Sliding Mode Control in Electromechanical Systems (1999)
[10] Loukianov, Nonlinear block control with sliding mode, Automation and Remote Control 59 (7) pp 916– (1998)
[11] Fridman, Sliding Mode Control in Engineering pp 53– (2002)
[12] Levant, Sliding order and sliding accuracy in sliding mode control, International Journal of Control 58 (6) pp 1247– (1993) · Zbl 0789.93063 · doi:10.1080/00207179308923053
[13] Krause, Analysis of Electric Machinery and Drive Systems, 2. ed. (2002) · doi:10.1109/9780470544167
[14] Castillo B Di Gennaro S Loukianov A Rivera J Robust nested sliding mode regulation with application to induction motors American Control Conference 2007 5242 5247 · Zbl 1153.93336
[15] Mamani G Becedas J Feliu-Batlle V Sira-Ramírez H An algebraic state estimation approach for DC motors WCECS 2007 741 746
[16] Moreno JA Osorio M A Lyapunov approach to second-order sliding mode controllers and observers 47th IEEE Conference on Decision and Control 2008 2856 2861
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.