Reliable Fault-Tolerant Control Design for LPV Systems using Admissible Model Matching

In the paper two power-invariant real and complex state space transformations for modeling multi-phase electrical machines in a compact and general form are proposed. In particular the paper deals with the modeling of multi-phase permanent magnet synchronous machines with an arbitrary number of phases and an arbitrary shape of the rotor flux. The dynamic model of the motor is obtained using a Lagrangian approach and in the frame of the Power-Oriented Graphs technique. The obtained models are equivalent from a mathematical point of view and can be directly implemented in Simulink. The complex transformed model is quite compact and uses a reduced order state vector. Some simulation results end the paper.

[1]  Carsten W. Scherer,et al.  Multi-Objective Output-Feedback Control via LMI Optimization , 1996 .

[2]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

[3]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[4]  József Bokor,et al.  Fault detection and isolation in nonlinear systems , 2009, Annu. Rev. Control..

[5]  Youmin Zhang,et al.  Detection, estimation, and accommodation of loss of control effectiveness , 2000 .

[6]  Michel Kinnaert,et al.  Diagnosis and Fault-Tolerant Control , 2004, IEEE Transactions on Automatic Control.

[7]  Pascal Gahinet,et al.  H/sub /spl infin// design with pole placement constraints: an LMI approach , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[8]  M. Staroswiecki,et al.  Robust Fault Tolerant Linear Quadratic Control based on Admissible Model Matching , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[9]  Philippe Weber,et al.  Reconfigurability analysis for reliable fault-tolerant control design , 2011, Int. J. Appl. Math. Comput. Sci..

[10]  Aaron J. Ostroff.  Techniques for Accommodating Control Effector Failures on a Mildly Statically Unstable Airplane , 1985, 1985 American Control Conference.

[11]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[12]  M. Staroswiecki.  Fault tolerant control using an admissible model matching approach , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[13]  A. Rahideh,et al.  Dynamic modelling of a twin rotor MIMO system using grey box approach , 2008, 2008 5th International Symposium on Mechatronics and Its Applications.

[14]  Marcel Staroswiecki.  Fault tolerant control : The pseudo-inverse method revisited , 2005 .

[15]  Karolos M. Grigoriadis,et al.  Anti-windup controller design using linear parameter-varying control methods , 2000 .

[16]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[17]  Vicenç Puig,et al.  A new formulation for Admissible Model Matching in Fault-Tolerant Control , 2008 .