This paper addresses the control of induction motor (IM) drives. In this work, we propose a new consideration of backstepping control. However, this control provides a systematic method to carry out the controller design while guaranteeing the stability of the controller-process couple. Furthermore, the incorporation of an integral action in the synthesis of the control system with state feedback presents a robust rejection of echelon-level disturbances. A detailed analytic study and simulation results are given showing the operation of the IM drives control. The results prove the accuracy and robustness of the proposed control scheme. Also, comparison results with another study dealing with control prove that the proposed method shows excellent transient and steady-state speed and a great estimation of flux and load torque.
AstolfiDPralyL (2017) Integral action in output feedback for multi-input multi-output nonlinear systems. IEEE Transactions on Automatic Control62(4): 1559–1574.
2.
BesbesMSaidSFaouziMFarzaM (2017) On FPGA implementation of a continuous-discrete time observer for sensorless induction machine using simulink HDL coder. International Journal of Advanced Computer Science and Applications8(6): 412–417.
3.
BlaschkeF (1971) A new method for the structural decoupling of a.c. induction machine. In: Proceedings of the IFAC World Congress, Duesseldorf, Germany, 11–13 October, pp. 1–15.
4.
BornardGHammouriH (1991) A high gain observer for a class of uniformly observable systems. In: Proceedings of the 30th IEEE Conference on Decision and Control, Volume 122, Brighton, England, 11–13 December, pp. 1494–1496. IEEE.
5.
BoseBK (2002) Modern Power Electronics and AC Drives. Upper Saddle River, NJ: Prentice Hall.
6.
BrownJEKovacsKPVasP (1983) A Method of Including the Effects of Main Flux Path Saturation in the Generalized Equations of A.C. Machines. IEEE Transactions on Power Apparatus and Systems PAS-102(1): 96–103.
7.
DelaleauELouisJPOrtegaR (2001) Modeling and control of inductions motors. International Journal of Applied Mathematics and Computer Science1(8): 105–129.
8.
DeLeonJGlumineauASouleimanI (2000) Nonlinear observer for induction motor: A benchmark test. IFAC Proceedings Volumes33(13): 153–158.
9.
DezaFBusvelleEGauthierJ (1992) Exponentially converging observers for distillation columns and internal stability of the dynamic output feedback. Chemical Engineering Science47(15): 3935–3941.
10.
FarzaMBusawonKHammouriH (1998) Simple nonlinear observers for on-line estimation of kinetic rates in bioreactors. Automatica34(3): 301–318.
11.
FarzaMM’SaadMMenardTet al. (2018) Adaptive observer design for a class of nonlinear systems. Application to speed sensorless induction motor. Automatica90: 239–247.
12.
FarzaMM’SaadMSekherM (2005) A set of observers for a class of nonlinear systems. In: Proceedings of the IFAC World Congress, Prague, Czech Republic, 4–8 July. Elsevier.
13.
GaoTLiuYLiuLLiD (2018) Adaptive neural network-based control for a class of nonlinear pure-feedback systems with time-varying full state constraints. IEEE/CAA Journal of Automatica Sinica5(5): 923–933.
14.
GauthierJHammouriHOthmanS (1992) A simple observer for nonlinear systems – Application to bioreactors. IEEE Transactions on Automatic Control37(6): 875–880.
15.
GhanesMZhengG (2009) On sensorless induction motor drives; sliding-mode observer and output feedback controller. IEEE Transactions on Industrial Electronics56(9): 3404–3413.
16.
GhanesJDLBarbotJPGlumineauA (2010) A robust sensorless feedback controller of the induction motor drives : new design and experimental validation. International Journal of Control83(3): 484–497.
17.
HajjiSChaariAM’SaadMFarzaM (2007) Output feedback controller for a class of nonlinear systems. In: Proceedings of the European Control Conference, Kos, Greece, 2–5 July, pp. 3831–3837. IEEE.
18.
HajjiSFarzaMM’SaadMKamounM (2008) Abserver-based output feedback controller for a class of nonlinear systems. In: Proceedings of the 17th IFAC World Congress, Seoul, Korea, 6–11 July. Elsevier.
19.
KanJZhangKWangZ (2015) Indirect vector control with simplified rotor resistance adaptation for induction machines. IET Power Electronics8(7): 1284–1294.
20.
KrishnamurthyPKhorramiFChandraR (2003a) Global high-gain-based observer and backstepping controller for generalized output-feedback canonical form. IEEE Transactions on Automatic Control48(12): 2277–2283.
21.
KrishnamurthyPKhorramyFChandraRS (2003b) High-gain-based observer and backstepping controller for generalized output-feedback canonical form. IEEE Transactions on Automatic Control48(12): 2277–2284.
22.
LeonardW (2001) Control of Electrical Drives. 3rd edn. Springer-Verlag.
23.
LiDChenCLPLiuYTongS (2019) Neural network controller design for a class of nonlinear delayed systems with time-varying full-state constraints. IEEE Transactions on Neural Networks and Learning Systems30(9): 2625–2636.
24.
LingTIdrisNYatimAet al. (2015) Implementation of a new torque and flux controllers for direct torque control (DTC) of induction machine utilising digital signal processor (DSP) and field programmable gate array (FPGA). In: 36th IEEE Power Electronics Specialists Conference, Recife, Brazil, 12–16 June, pp. 1594–1599. IEEE Operations Center.
25.
LiuLLiuYTongS (2018a) Fuzzy based multi-error constraint control for switched nonlinear systems and its applications. IEEE Transactions on Fuzzy Systems27(8): 1519–1531.
26.
LiuLLiuYTongS (2018b) Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems. IEEE Transactions on Cybernetics49(7): 1–10.
27.
LubineauDDionJDugardLRoyeD (2000) Design of an advanced nonlinear controller for induction motor and experimental validation on an industrial benchmark. The European Physical Journal Applied Physics9(2): 165–175.
28.
MahmoudSMChrifi AlaouiDPLBussyP (2006) Robust sliding mode non linear control using integrator corrector for an induction motor. In: Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, USA, 13–15 December, pp. 1623–1628. IEEE.
29.
OuadiHGiriFIkhouaneF (2002) Backstepping control of saturated induction motors. In: Proceedings of the 15th IFAC World Congress, Barcelona, Spain, 21–26 July, pp. 1–12. Oxford: Pergamon.
30.
PralyL (2003) Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate. IEEE Transactions on Automatic Control48(6): 1103–1108.
31.
RossignolLFarzaMM’SaadM (2003) Nonlinear observation strategies for induction motors. In: IEEE International Electric Machines and Drives Conference, Madison, Wisconsin, USA, 1–4 June, pp. 696–702. IEEE.
32.
ShimHByunJSeoJH (1999) Comments on ‘observers for nonlinear systems in steady state’. IEEE Transactions on Automatic Control44(3): 587.
33.
ShimHSonYISeoJH (2001) Semi-global observer for multi-output nonlinear systems. Systems & Control Letters42(3): 233–244.
34.
SkjetneRFossenT (2004) On integral control in backstepping: analysis of different techniques. In: Proceedings of the American Control Conference, Boston, Massachusetts, 30 June–2 July, pp. 1899–1904. IEEE Control Systems Society.
35.
SoreshjaniMH (2015) Idirect torque controlled space vector modulated method for line start permanent magnet synchronous and induction motors. Transactions of the Institute of Measurement and Control37(6): 826–840.
36.
StrangasEGet al. (1999) Robust torque controller for induction motors without rotor position sensor: Analysis and experimental results. IEEE Transactions on Energy Conversion14(4): 1448–1458.
37.
TajimaHHoriY (1993) Speed-sensorless field-orientation control of the induction machine. IEEE Transactions on Industry Applications29(1): 175–18.
38.
TakahashiINoguchiT (1986) A new quick response and high efficiency control strategy of an induction motor. IEEE Transactions on Industry Applications22(5): 820–827.
39.
TanHChangJ (1999) Adaptive backstepping control of induction motor with uncertainties. In: Proceedings of American Control Conference, San Diego, California, 2–4 June, pp. 1–5. IEEE.
40.
TraorDLeonJDGlumineauALoronL (2007) Speed-sensorless field-orientation control of the induction machine. IET Control Theory application1(6): 1681–1692.
41.
VielFBusvelleEGauthierJ (1995) Stability of polymerization reactors using i/o linearization and a high-gain observer. Automatica31(7): 971–984.
