H ∞ design of rotor flux-oriented current-controlled induction motor drives: speed control, noise attenuation and stability robustness

This study deals with the design of H∞ controllers for speed control of rotor flux-oriented current-controlled induction motors. The mixed sensitivity problem (robust stability and performance) is initially revisited, and is shown, based on practical experiments, that when the rotor time constant is the uncertain parameter, it is necessary to deploy conflicting weighting functions, therefore invaliding its application in the design of current-fed induction motors. Two other H∞ problems are addressed: (i) a one-block problem for speed control with tracking and transient performance objectives; and (ii) a two-block problem for speed control with tracking/transient performance and noise attenuation objectives. An important part of H∞ design is the model of the system to be controlled. In this study, the system composed of the inverter, estimator and induction motor will be modelled as a first-order system, and experiments for the identification of the gain and the time constant are proposed. It is also suggested how to properly correct an initial estimation of the rotor time constant in order to make the actual plant (inverter-induction motor) behave as a first-order linear system. The model accuracy and the efficiency of the H∞ controllers are validated by experiments carried out in a real system.

[1]  Xunxian Wang,et al.  H‐∞ disturbance attenuation control of induction motor , 2000 .

[2]  C. P. Bottura,et al.  Robust speed control of an induction motor: an /spl Hscr//sub /spl infin// control theory approach with field orientation and /spl mu/-analysis , 2000 .

[3]  Mohamed Benbouzid,et al.  Induction motor robust control: an H/sub /spl infin// control approach with field orientation and input-output linearizing , 2001, IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.37243).

[4]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[5]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[6]  J. C. Basilio,et al.  Fragility problem revisited: overview and reformulation , 2007 .

[7]  James C. Hung,et al.  Internal Model Control , 2011, Control and Mechatronics.

[8]  Shinji Doki,et al.  Robust vector control of induction motors using full-order observer in consideration of core loss , 2003, IEEE Trans. Ind. Electron..

[9]  Helene Panagopoulos,et al.  PID Controller Design , 1998 .

[10]  Yau-Tze Kao,et al.  Analysis and design of microprocessor-based vector-controlled induction motor drives , 1992, IEEE Trans. Ind. Electron..

[11]  Shankar P. Bhattacharyya,et al.  Robust, fragile, or optimal? , 1997, IEEE Trans. Autom. Control..

[12]  Ciro Attaianese,et al.  H/spl infin/ control of induction motor drives , 2001 .

[13]  Nicolas Patin,et al.  FPGA-Based Current Controllers for AC Machine Drives—A Review , 2007, IEEE Transactions on Industrial Electronics.

[14]  João Carlos Basilio,et al.  Computation of reduced-order models of multivariable systems by balanced truncation , 2002, Int. J. Syst. Sci..

[15]  W. Leonhard Control of Induction Motor Drives , 1996 .

[16]  Stephen J. Chapman,et al.  Electric Machinery Fundamentals , 1991 .

[17]  Edouard Laroche,et al.  Controller design and robustness analysis for induction machine-based positioning system , 2004 .

[18]  Marian P. Kazmierkowski,et al.  Current control techniques for three-phase voltage-source PWM converters: a survey , 1998, IEEE Trans. Ind. Electron..

[19]  M. Morari,et al.  Internal model control: PID controller design , 1986 .

[20]  Werner Leonhard,et al.  Control of Electrical Drives , 1990 .

[21]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[22]  Leon M. Tolbert,et al.  An online rotor time constant estimator for induction machine , 2007, IEEE International Conference on Electric Machines and Drives, 2005..

[23]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[24]  In-Joong Ha,et al.  Control of induction motors via feedback linearization with input-output decoupling , 1990 .

[25]  Ian Postlethwaite,et al.  A linear parameter variant H∞ control design for an induction motor , 2002 .

[26]  João Carlos Basilio,et al.  Design of PI and PID controllers with transient performance specification , 2002, IEEE Trans. Educ..

[27]  Li Qiu,et al.  Design and analysis of a plug-in robust compensator: an application to indirect-field-oriented-control induction machine drives , 2003, IEEE Trans. Ind. Electron..