LPV-based gain scheduling technique applied to a turbo fan engine model

Linear parameter varying (LPV) system based gain scheduling design is applied to a nonlinear jet engine model. A major shortcoming of LPV based gain scheduling techniques is the transformation step of the nonlinear system into an LPV system. It is crucial to have an accurate LPV model to design a controller meeting the performance specifications. Here, the nonlinear model is transformed into an LPV system using velocity based linearization. The derived state feedback controller has, under the assumption of a correct transformation, a guaranteed L/sub 2/ performance for the considered operating range. The performance of the controller is illustrated by simulations of the closed loop system.

[1]  Claes Breitholtz,et al.  Gain scheduling via affine linear parameter-varying systems and H-infinity synthesis , 2001 .

[2]  W. Leithead,et al.  Gain-scheduled and nonlinear systems : dynamic analysis by velocity-based linearization families , 1998 .

[3]  Gary J. Balas,et al.  Application of parameter-dependent robust control synthesis to turbofan engines , 1998 .

[4]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[5]  Pierre Apkarian,et al.  Parameterized LMIs in Control Theory , 2000, SIAM J. Control. Optim..

[6]  William L. Garrard,et al.  Application of parameter-dependent robust control synthesis to turbofan engines , 1999 .

[7]  A. Packard,et al.  Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback , 1994 .

[8]  Michael Athans,et al.  Analysis of gain scheduled control for nonlinear plants , 1990 .

[9]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[10]  Fredrik Bruzelius,et al.  Gain scheduling via affine linear parameter-varying systems and /spl Hscr//sub /spl infin// synthesis , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[11]  O.D.I. Nwokah,et al.  Robust multivariable turbofan engine control: a case study , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[12]  William Leithead,et al.  On formulating nonlinear dynamics in LPV form , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[13]  A. Packard,et al.  Gain scheduling the LPV way , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[14]  Ian Postlethwaite,et al.  Affine LPV modelling and its use in gain-scheduled helicopter control , 1998 .

[15]  Wilson J. Rugh,et al.  Stability preserving interpolation methods for the synthesis of gain scheduled controllers , 2000, Autom..

[16]  Gary J. Balas,et al.  Quasi-LPV modeling and LPV control of a generic missile , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).