Descriptor observer approaches for multivariable systems with measurement noises and application in fault detection and diagnosis

In this paper, new descriptor observer design approaches are presented for multivariable systems with measurement noises. If the system matrix is stable, the proposed modified proportional and derivative observer technique allows us not only to decouple the measurement noise in any forms completely, but also obtain accurate estimations of both system states and measurement noises. If the system is detectable and the noise is bounded, it has been shown that two design parameters can provide more degrees of freedom. In this context, the derivative gain parameter is chosen to reduce the amplification of the noise, and the proportional gain is then selected to guarantee the stability of the error dynamics. For systems with both measurement output noises and input disturbances, a modified proportional, derivative and integral observer is constructed to asymptotically estimate states, input disturbances, and output noises at the same time. The applications of the proposed observers for systems with actuator and sensor faults are also discussed. Numerical examples are given to illustrate the design procedures, and the simulation results show the satisfactory tracking performance.

[1]  Fei-Yue Wang,et al.  New results on doubly coprime fractional representations of generalized dynamical systems , 2003, IEEE Trans. Autom. Control..

[2]  Hong Wang,et al.  Actuator fault diagnosis: an adaptive observer-based technique , 1996, IEEE Trans. Autom. Control..

[3]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

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

[5]  P. Kaboré,et al.  Disturbance attenuation using proportional integral observers , 2001 .

[6]  D. Ho,et al.  Proportional multiple-integral observer design for descriptor systems with measurement output disturbances , 2004 .

[7]  F. Lewis.  A survey of linear singular systems , 1986 .

[8]  C. T. Pi,et al.  Simultaneous disturbance attenuation and fault detection using proportional integral observers , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[9]  Mehrdad Saif.  Reduced order proportional integral observer with application , 1993 .