Robust adaptive high order sliding-mode optimum controller for sensorless interior permanent magnet synchronous motors

In this paper, a robust nonlinear controller for sensorless interior permanent magnet synchronous motors (IPMSM) is designed to track a desired reference which is computed by using a maximum-torque-per-ampere strategy (MTPA). The proposed controller ensures finite-time convergence of sliding variables despite parameter uncertainties and unknown load torque. Furthermore, from the measurement of the currents and the voltages, a new analysis of the observability property is developed. Then, an adaptive interconnected observer is designed to estimate the angular velocity, the position, the load torque and the stator resistance. Using a Lyapunov approach, an analysis of the closed-loop system stability is given. Simulation results are presented to confirm the effectiveness of the proposed method.

[1]  M. Omizo,et al.  Modeling , 1983, Encyclopedic Dictionary of Archaeology.

[2]  Hamid Reza Momeni,et al.  Adaptive sliding mode control of chaotic dynamical systems with application to synchronization , 2010, Math. Comput. Simul..

[3]  Qinghua Zhang,et al.  Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems , 2002, IEEE Trans. Autom. Control..

[4]  Franck Plestan,et al.  A new algorithm for high‐order sliding mode control , 2008 .

[5]  G. Scelba,et al.  Steady-State and Transient Operation of IPMSMs Under Maximum-Torque-per-Ampere Control , 2010, IEEE Transactions on Industry Applications.

[6]  Franck Plestan,et al.  Sensorless speed control of a permanent magnet synchronous motor: high order sliding mode controller and sliding mode observer , 2010 .

[7]  Changsheng Li,et al.  A sliding mode observer for sensorless control of permanent magnet synchronous motors , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[8]  Henk Nijmeijer,et al.  Sliding Controller-Sliding Observer Design for Non-linear Systems , 1998, Eur. J. Control.

[9]  King Jet Tseng,et al.  Nonlinear Control of Interior Permanent-Magnet , 2003 .

[10]  V. Lakshmikantham,et al.  Practical Stability Of Nonlinear Systems , 1990 .

[11]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[12]  Roberto Oboe,et al.  Sensorless full-digital PMSM drive with EKF estimation of speed and rotor position , 1999, IEEE Trans. Ind. Electron..

[13]  P. Olver.  Nonlinear Systems , 2013 .

[14]  H. Hammouri,et al.  Observer synthesis for state-affine systems , 1990, 29th IEEE Conference on Decision and Control.

[15]  Franck Plestan,et al.  Sensorless Induction Motor: High-Order Sliding-Mode Controller and Adaptive Interconnected Observer , 2008, IEEE Transactions on Industrial Electronics.

[16]  A. Isidori.  Nonlinear Control Systems , 1985 .

[17]  Shigeo Morimoto,et al.  Mechanical Sensorless Drives of IPMSM With Online Parameter Identification , 2005, IEEE Transactions on Industry Applications.

[18]  Y. Takeda,et al.  Mechanical Sensorless Drives of IPMSM With Online Parameter Identification , 2005, IEEE Transactions on Industry Applications.

[19]  M. Boussak.  Implementation and experimental investigation of sensorless speed control with initial rotor position estimation for interior permanent magnet synchronous motor drive , 2005, IEEE Transactions on Power Electronics.

[20]  Damien Koenig,et al.  Unknown input proportional multiple-integral observer design for linear descriptor systems: application to state and fault estimation , 2005, IEEE Transactions on Automatic Control.

[21]  Peter Sergeant,et al.  A sensorless PMSM drive using modified high-frequency test pulse sequences for the purpose of a discrete-time current controller with fixed sampling frequency , 2010, Math. Comput. Simul..

[22]  M. Ghanes,et al.  Observability Analysis and Improved Zero‐Speed Position Observer Design of Synchronous Motor with Experimental Results , 2013 .

[23]  M. Nasir Uddin,et al.  High-Speed Control of IPMSM Drives Using Improved Fuzzy Logic Algorithms , 2007, IEEE Transactions on Industrial Electronics.

[24]  Prashanth Krishnamurthy,et al.  Global high-gain-based observer and backstepping controller for generalized output-feedback canonical form , 2003, IEEE Trans. Autom. Control..

[25]  Shigeru Okuma,et al.  An extended electromotive force model for sensorless control of interior permanent-magnet synchronous motors , 2003, IEEE Trans. Ind. Electron..

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

[27]  G. Besançon,et al.  On adaptive observers for state affine systems , 2006 .

[28]  Pragasen Pillay,et al.  Modeling, simulation, and analysis of permanent-magnet motor drives. II. The brushless DC motor drive , 1989 .