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Loria, Antonio; Espinosa-Pérez, Gerardo; Avila-Becerril, Sofía

Global adaptive linear control of the permanent-magnet synchronous motor. (English) Zbl 1337.93046

Int. J. Adapt. Control Signal Process. 28, No. 10, 971-986 (2014).
Summary: We contribute with a linear time-varying controller for the permanent magnet synchronous motor. We solve the open problem of speed-tracking control by measuring only stator currents and the rotor angular positions, under parametric uncertainty. Integral action is used to compensate for the effects of the unknown load-torque, and adaptation is employed to estimate the unknown parameters. In the case that parameters are known (except for the load), we show that the origin of the closed-loop system is uniformly globally exponentially stable. For the case of unknown parameters, we prove uniform global asymptotic stability; hence, we establish parametric convergence. In contrast to other adaptive control schemes for electrical machines, we use a reduced-order adaptive controller. Indeed, adaptation is used only for the electrical dynamics equations. Moreover, not surprisingly, the closed-loop system has a structure well-studied in adaptive-control literature. Performance is illustrated in a numerical setting.

Cited in 6 Documents

MSC:

93C40 Adaptive control/observation systems
93C05 Linear systems in control theory
93C95 Application models in control theory
93C15 Control/observation systems governed by ordinary differential equations

Keywords:

synchronous motor; PID control; adaptive control; PMSM
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References:

[1] MeiselJ. Principles of Electromechanical Energy Conversion. McGraw‐Hill: New York, 1966.
[2] TaylorD. Nonlinear control of electric machines: an overview. Control Systems Magazine1994; 14(6):41-51.
[3] LeonhardW. Control of Electrical Drives. Springer‐Verlag: Berlin, 2001.
[4] OrtegaR, LoríaA, NicklassonPJ, Sira‐RamírezH. Passivity-Based Control of Euler-Lagrange Systems. Springer‐Verlag: London, 1998.
[5] ChiassonJ. Modeling and High Performance Control of Electric Machines. Wiley‐IEEE Press: Hoboken, 2005.
[6] DonaireA, JuncoS. On the addition of integral action to port‐controlled Hamiltonian systems. Automatica2009; 45(4):1910-1916. · Zbl 1185.93044
[7] ZhuG, DessaintLA, AkhrifO, KaddouriA. Speed tracking control of a permanent‐magnet synchronous motor with state and load torque observer. IEEE Transactions on Industrial Electronics2000; 47(2):346-355.
[8] OrtegaR, NicklassonPJ, Espinosa‐PérezG. On speed control of induction motors. Automatica1996; 32(3):455-460. · Zbl 0850.93585
[9] ChangGW, Espinosa‐PérezG, OrtegaR, MendesE. Tuning rules for the PI gains of field‐oriented controllers of induction motors. IEEE Transactions on Industrial Electronics2000; 47(3):592-602.
[10] MarinoR, PeresadaS, TomeiP. Adaptive input‐output linearizing control of induction motors. IEEE Transactions on Automatic Control1993; 38(2):208-221. · Zbl 0775.93122
[11] TomeiP, VerrelliCM. Observer‐based speed tracking control for sensorless permanent magnet synchronous motors with unknown load torque. IEEE Transactions on Automatic Control2011; 56(6):1484-1488. · Zbl 1368.93454
[12] TomeiP, VerrelliCM. A nonlinear adaptive speed tracking control for sensorless permanent magnet step motors with unknown load torque. International Journal of Adaptive Control Signal Processing2008; 22:266-288. · Zbl 1284.93132
[13] BehalA, FeemsterM, DawsonD, MangalA. Sensorless rotor velocity tracking control of the permanent magnet stepper motor. In IEEE Conference on Control Applications, Anchorage, Alaska, 2000; 150-155.
[14] AquinoP, FeemsterM, DawsonD, BehalA. An adaptive partial state feedback control of the induction motor: elimination of rotor flux and rotor velocity measurements. In IEEE Proceedings of the Conference on Decision and Control, Tampa, FL, USA, 1998; 977-982.
[15] Di GennaroS. Adaptive output feedback control of synchronous motors. International Journal of Control2000; 73:1475-1490. · Zbl 0992.93065
[16] PanteleyE, LoríaA, TeelA. Relaxed persistency of excitation for uniform asymptotic stability. IEEE Transactions on Automatic Control2001; 46(12):1874-1886. · Zbl 1032.93070
[17] OrtegaR, LoríaA, KellyR. A semiglobally stable output feedback PI^2D regulator for robot manipulators. IEEE Transactions on Automatic Control1995; 40(8):1432-1436. · Zbl 0832.93042
[18] RetterCJ. Matrix and Space‐Phasor Theory of Electrical Machines. Akadémiai Kiadó: Budapest, 1987.
[19] AndersonBDO, BitmeadRR, JohnsonCR Jr., KokotovićPV, KosutRL, MareelsI, PralyL, RiedleBD. Stability of Adaptive Systems. MIT Press: Cambridge, MA, USA, 1986. · Zbl 0722.93036
[20] KhalilH. Nonlinear Systems, (3rd edn). Prentice Hall: New York, 2002. · Zbl 1003.34002
[21] OrtegaR, LoríaA, NicklassonPJ, Sira‐RamírezH. Passivity‐Based Control of Euler‐Lagrange Systems: Mechanical, Electrical and Electromechanical Applications, Series Comunications and Control Engineering, Springer Verlag: London, 1998. ISBN 1‐85233‐016‐3.
[22] HahnW. Stability of Motion. Springer-Verlag: Berlin, 1967.
[23] DawsonDM, HuJ, BurgTC. Nonlinear Control of Electric Machinery. Marcel Dekker: New York, 1998.
[24] LoríaA, KellyR, TeelA. Uniform parametric convergence in the adaptive control of mechanical systems. European Journal of Control2005; 11(2):87-100. · Zbl 1293.93456
[25] MalisoffM, MazencF. Constructions of Strict Lyapunov Functions. Springer: London, 2009. · Zbl 1186.93001
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