An improved hybrid Kalman filter design for aircraft engine based on a velocity-based LPV framework

In-flight aircraft engine performance estimation is one of the key techniques for advanced intelligent engine control and in-flight fault detection, isolation and accommodation. This paper expounds the current performance degradation estimation methods, and an improved hybrid Kalman filter (HKF) via velocity-based LPV (VLPV) framework is proposed in this paper. Composed of a nonlinear on-board engine model (OBEM) and VLPV, the filter is a hybrid architecture. The outputs of OBEM are used for the baseline of the VLPV Kalman filter, while the system performance degradation factors on-line estimated by the measured real system output deviations are fed back to the OBEM for its updating. In addition, the setting of the process and measurement noise covariance matrices' values are also discussed. By applying it to a commercial turbofan engine, simulation results show that this model can effectively estimate the real engine performance in the whole flight envelope and in different engine states.

[1]  M. J. Whatley,et al.  Adaptive gain improves reactor control , 1984 .

[2]  R. Luppold,et al.  Estimating in-flight engine performance variations using Kalman filter concepts , 1989 .

[3]  Donald L. Simon,et al.  Aircraft Turbofan Engine Health Estimation Using Constrained Kalman Filtering , 2005 .

[4]  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).

[5]  Xiaofeng Liu,et al.  Design for aircraft engine multi-objective controllers with switching characteristics , 2014 .

[6]  Hisashi Tanizaki,et al.  Nonlinear Filters: Estimation and Applications , 1993 .

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

[8]  William Leithead,et al.  Survey of gain-scheduling analysis and design , 2000 .

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

[10]  E. Kreyszig,et al.  Advanced Engineering Mathematics. , 1974 .

[11]  Donald L. Simon,et al.  Enhanced Self Tuning On-Board Real-Time Model (eSTORM) for Aircraft Engine Performance Health Tracking , 2008 .

[12]  Lei Zhao,et al.  Approximate Nonlinear Modeling of Aircraft Engine Surge Margin Based on Equilibrium Manifold Expansion , 2012 .

[13]  V. Mowery Least squares recursive differential-corection estimation in nonlinear problems , 1965 .

[14]  J. Grizzle,et al.  On numerical differentiation algorithms for nonlinear estimation , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[15]  Didier Henrion,et al.  Polynomial LPV synthesis applied to turbofan engines , 2007 .

[16]  Thomas Kailath,et al.  Linear Systems , 1980 .

[17]  Shrider Adibhatla,et al.  MODEL-BASED INTELLIGENT DIGITAL ENGINE CONTROL (MoBIDEC) , 1997 .

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

[19]  Wilson J. Rugh,et al.  Analytical Framework for Gain Scheduling , 1990, 1990 American Control Conference.

[20]  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).

[21]  S. Neal Nonlinear estimation techniques , 1968 .

[22]  Jeff S. Shamma,et al.  Analysis and design of gain scheduled control systems , 1988 .

[23]  Christopher J. Harris,et al.  Fuzzy local linearization and local basis function expansion in nonlinear system modeling , 1999, IEEE Trans. Syst. Man Cybern. Part B.

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

[25]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[26]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..