Time-varying actuator fault reconstruction based on adaptive observer for LPV systems

In this paper, the problem of fault isolation and detection is treated for a particular class of linear polytopic parameter-varying system (LPV). In this context, an adaptive observer design is formulated for a given polyquadratic Lyapunov function. As a result, new sufficient conditions are given in terms of Linear Matrix Inequalities (LMIs), which guarantee asymptotic convergence to zero of the estimation error, and to detect and isolate actuator faults. A tentative application was made to show the effectiveness of the proposed algorithm.

[1]  P. Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[2]  Michèle Basseville,et al.  On-board Component Fault Detection and Isolation Using the Statistical Local Approach , 1998, Autom..

[3]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[4]  Qinghua Zhang,et al.  Adaptive Observer for Discrete Time Linear Time Varying Systems , 2003 .

[5]  F. Bruzelius Linear Parameter-Varying Systems - an approach to gain scheduling , 2004 .

[6]  Zongli Lin,et al.  A descriptor system approach to robust stability analysis and controller synthesis , 2004, IEEE Trans. Autom. Control..

[7]  S. Pettersson,et al.  Linear parameter-varying descriptions of nonlinear systems , 2004, Proceedings of the 2004 American Control Conference.

[8]  W. Xie H2 gain scheduled state feedback for LPV system with new LMI formulation , 2005 .

[9]  Patrizio Colaneri,et al.  Robust stability of time varying polytopic systems , 2006, Syst. Control. Lett..

[10]  P. Bliman,et al.  LMI RELAXATIONS FOR H∞ CONTROL OF TIME-VARYING POLYTOPIC SYSTEMS BY MEANS OF PARAMETER-DEPENDENT QUADRATICALLY STABILIZING GAINS , 2007 .

[11]  P. Peres,et al.  Nash Strategy Parameter Dependent Control for Polytopic Systems , 2007 .

[12]  Didier Theilliol,et al.  Active Actuator Fault Tolerant Control Design for Polytopic LPV Systems , 2007 .

[13]  Ke Zhang,et al.  Adaptive Observer-based Fast Fault Estimation , 2008 .

[14]  Péter Gáspár,et al.  Robust Control and Linear Parameter Varying approaches: Application to Vehicle Dynamics , 2013 .

[15]  B. Marx,et al.  State and Parameter Estimation for Time-varying Systems: a Takagi-Sugeno Approach , 2013 .

[16]  Dusan Krokavec,et al.  An enhanced approach to actuator fault estimation design for linear continuous-time systems , 2014 .

[17]  L. Fridman,et al.  Robustification of time varying linear quadratic optimal control based on output integral sliding modes , 2015 .

[18]  Saïd Mammar,et al.  On Unknown Input Observers for LPV Systems , 2015, IEEE Transactions on Industrial Electronics.

[19]  Fanglai Zhu,et al.  Simultaneous time‐varying actuator and sensor fault reconstruction based on PI observer for LPV systems , 2015 .