Fault detection observer design with unknown inputs

This paper deals with fault detection observer design for linear time-invariant systems with unknown inputs. The design objective is set to minimize a combined performance index Hinfin/H- which means to achieve a good compromise between robustness to the disturbance and sensitivity to the fault. Hence, the fault detection observer is designed to detect the fault of smallest energy possible. In this paper, the design for both static observer and more general dynamic observer is addressed. For the latter, change of variable method is used to make matrix inequality linear. In addition, a sequential linearization iterative LMI method is used to solve the nonconvex optimization, which guarantees the convergence

[1]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[2]  James Lam,et al.  Iterative linear matrix inequality algorithms for fault detection with unknown inputs , 2005 .

[3]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[4]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems: theory and application , 1989 .

[5]  Henrik Niemann,et al.  Norm based design of fault detectors , 1999 .

[6]  R. J. Patton,et al.  An LMI approach to H - /H∞ fault detection observers , 2002 .

[7]  Pierre Apkarian,et al.  Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations , 2001, IEEE Trans. Autom. Control..

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

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

[10]  X. Ding,et al.  Observer-Based Optimal Fault Detector , 1996 .

[11]  Friedemann Leibfritz,et al.  An LMI-Based Algorithm for Designing Suboptimal Static H2/Hinfinity Output Feedback Controllers , 2000, SIAM J. Control. Optim..