Adaptive non-linear high gain observer based sensorless speed estimation of an induction motor

Abstract An efficient sensor-less speed estimator, based on an adaptive non-linear high gain observer (HGO) which uses only the measured stator currents and control voltages in the presence of measurement noise, is proposed to estimate the speed of an induction motor. The proposed observer is an improved version of the common HGOs proposed in the literature. The observer gain, involving the use of a scalar time-varying design parameter governed by the Riccati differential equation, guarantees the best compromise between the fast convergence of the states and noise rejection with such adaptation of gains that the internal states of the observer exert low influence during the transient period and thus prevent system peaking. The design methodology of the proposed observer is given and its stability is studied. Results of simulation studies demonstrate that robustness and efficiency of the proposed observer are maintained under critical operating conditions, even where the efficiency of the fixed gain observer is decreased.

[1]  Dianguo Xu,et al.  Zero Stator Current Frequency Operation of Speed-Sensorless Induction Motor Drives Using Stator Input Voltage Error for Speed Estimation , 2016, IEEE Transactions on Industrial Electronics.

[2]  Mohammed M'Saad,et al.  OBSERVER DESIGN FOR A CLASS OF NONLINEAR SYSTEMS - APPLICATION TO AN INDUCTION MOTOR , 2002 .

[3]  Arnold Neumaier,et al.  Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization , 1998, SIAM Rev..

[4]  Mondher Farza,et al.  High gain observer based on-line rotor and stator resistances estimation for IMs , 2010, 2010 IEEE International Conference on Control Applications.

[5]  Mondher Farza,et al.  A SET OF OBSERVERS FOR A CLASS OF NONLINEAR SYSTEMS , 2005 .

[6]  Malek Ghanes,et al.  On Sensorless Induction Motor Drives: Sliding-Mode Observer and Output Feedback Controller , 2009, IEEE Transactions on Industrial Electronics.

[7]  Lei Zhou,et al.  High gain observer for speed-sensorless motor drives: Algorithm and experiments , 2016, 2016 IEEE International Conference on Advanced Intelligent Mechatronics (AIM).

[8]  J. Rudolph,et al.  A block triangular nonlinear observer normal form , 1994 .

[9]  Mondher Farza,et al.  High gain adaptive observer design for sensorless state and parameter estimation of induction motors , 2015 .

[10]  Mohammed M'Saad,et al.  High gain observer for sensorless induction motor , 2011 .

[11]  Wei Lin,et al.  Universal adaptive control of nonlinear systems with unknown growth rate by output feedback , 2006, Autom..

[12]  P.V. Kokotovic,et al.  The joy of feedback: nonlinear and adaptive , 1992, IEEE Control Systems.

[13]  Hassan Hammouri,et al.  High gain observer based on a triangular structure , 2002 .

[14]  Murat Barut,et al.  Switching EKF technique for rotor and stator resistance estimation in speed sensorless control of IMs , 2007 .

[15]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[16]  Malek Ghanes,et al.  Cascade and high-gain observers comparison for sensorless closed-loop induction motor control , 2008 .

[17]  Oscar Barambones,et al.  A robust vector control for induction motor drives with an adaptive sliding-mode control law , 2011, J. Frankl. Inst..

[18]  Mondher Farza,et al.  Adaptive high gain observer based output feedback predictive controller for induction motors , 2013, Comput. Electr. Eng..

[19]  G. Bornard,et al.  Observability for any u(t) of a class of nonlinear systems , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[20]  Dianguo Xu,et al.  Stable Operation Method for Speed Sensorless Induction Motor Drives at Zero Synchronous Speed With Estimated Speed Error Compensation , 2019, IEEE Transactions on Power Electronics.

[21]  C. Schauder,et al.  Adaptive speed identification for vector control of induction motors without rotational transducers , 1989, Conference Record of the IEEE Industry Applications Society Annual Meeting,.

[22]  Om P. Malik,et al.  High Gain Observer with Updated Gain for Sensorless Induction Motor , 2018, 2018 International Conference on Electrical Sciences and Technologies in Maghreb (CISTEM).

[23]  A. Krener,et al.  Nonlinear controllability and observability , 1977 .

[24]  Mohammed M'Saad,et al.  High gain observer with updated gain for a class of MIMO nonlinear systems , 2011, Int. J. Control.

[25]  Mohamed K. Metwaly,et al.  A New Adaptive SMO for Speed Estimation of Sensorless Induction Motor Drives at Zero and Very Low Frequencies , 2018, IEEE Transactions on Industrial Electronics.

[26]  심형보 A passivity-based nonlinear observer and a semi-global separation principle , 2000 .

[27]  Mohammed M'Saad,et al.  High gain observer for a class of non-triangular systems , 2011, Syst. Control. Lett..

[28]  G. Schreier,et al.  Cascade nonlinear observers: application to an experimental induction motor benchmark , 2001 .

[29]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[30]  Hassan K. Khalil,et al.  High-gain observers in nonlinear feedback control , 2009, 2009 IEEE International Conference on Control and Automation.

[31]  George C. Verghese,et al.  Observers for flux estimation in induction machines , 1988 .

[32]  Hassan Hammouri,et al.  Observer design based on immersion technics and canonical form , 2018, Syst. Control. Lett..

[33]  Gildas Besançon,et al.  Observer Scheme for State and Parameter Estimation in Asynchronous Motors with Application to Speed Control , 2006, Eur. J. Control.

[34]  Abdelkrim Benchaib,et al.  Real-time sliding-mode observer and control of an induction motor , 1999, IEEE Trans. Ind. Electron..

[35]  Surapong Suwankawin,et al.  Design strategy of an adaptive full-order observer for speed-sensorless induction-motor Drives-tracking performance and stabilization , 2006, IEEE Transactions on Industrial Electronics.

[36]  Hassan K. Khalil,et al.  High-gain observers in the presence of measurement noise: A nonlinear gain approach , 2008, 2008 47th IEEE Conference on Decision and Control.

[37]  X. Xia,et al.  Nonlinear observer design by observer error linearization , 1989 .

[38]  Weidong Zhang,et al.  A nonlinear updated gain observer for MIMO systems: Design, analysis and application to marine surface vessels. , 2016, ISA transactions.

[39]  Malek Ghanes,et al.  Validation of an interconnected high-gain observer for a sensorless induction motor against a low frequency benchmark: application to an experimental setup , 2005 .

[40]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[41]  Joachim Holtz,et al.  Sensorless Control of Induction Machines - With or Without Signal Injection? , 2006, IEEE Trans. Ind. Electron..

[42]  Alessandro Astolfi,et al.  High gain observers with updated gain and homogeneous correction terms , 2009, Autom..

[43]  Prashanth Krishnamurthy,et al.  Generalized adaptive output-feedback form with unknown parameters multiplying high output relative-degree states , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[44]  Daniele Astolfi,et al.  Low-power peaking-free high-gain observers , 2018, Autom..

[45]  Grzegorz Tarchala,et al.  A review on MRAS-type speed estimators for reliable and efficient induction motor drives. , 2019, ISA transactions.

[46]  Mark Sumner,et al.  Sensorless control of induction Machines at zero and low frequency using zero sequence currents , 2006, IEEE Transactions on Industrial Electronics.

[47]  Hassan K. Khalil,et al.  A Nonlinear High-Gain Observer for Systems With Measurement Noise in a Feedback Control Framework , 2013, IEEE Transactions on Automatic Control.

[48]  M. Montanari Discussion on: “Observer Scheme for State and Parameter Estimation in Asynchronous Motors with Application to Speed Control” , 2006 .

[49]  Hassan K. Khalil,et al.  High-gain observers in the presence of measurement noise: A switched-gain approach , 2009, Autom..

[50]  Sukanta Das,et al.  Review on model reference adaptive system for sensorless vector control of induction motor drives , 2015 .

[51]  Hassan Hammouri,et al.  Uniform observability and observer synthesis , 2007 .

[52]  Mohammed M'Saad,et al.  A high gain observer with updated gain for a class of MIMO non-triangular systems , 2012, Syst. Control. Lett..

[53]  Gerardo Espinosa-Pérez,et al.  Global observability analysis of sensorless induction motors , 2004, Autom..

[54]  J. Gauthier,et al.  A simple observer for nonlinear systems applications to bioreactors , 1992 .

[55]  J. Hedrick,et al.  Observer design for a class of nonlinear systems , 1994 .

[56]  Akira Satake,et al.  An approximate high gain observer for speed-sensorless estimation of induction motors , 2019, IEEE/CAA Journal of Automatica Sinica.

[57]  Malek Ghanes,et al.  Observability Study and Observer-Based Interconnected Form for Sensorless Induction Motor , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[58]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

[59]  Josep M. Guerrero,et al.  Industrial Applications of the Kalman Filter: A Review , 2013, IEEE Transactions on Industrial Electronics.

[60]  Haitham Z. Azazi,et al.  Sensorless Induction Motor Drives Using Adaptive Flux Observer at Low Frequencies , 2018 .