Robust Observer Design with Application to Fault Detection

A new scheme for robust estimation of the partial state of linear time-invariant multivariable systems is presented, and it is shown how this may be used for the detection of sensor faults in such systems. We consider an observer to be robust if it generates a faithful estimate of the plant state in the face of modelling uncertainty or plant perturbations. Using the Stable Factorization approach we formulate the problem of optimal robust observer design by minimizing an appropriate norm on the estimation error. A logical candidate is the 2-norm, corresponding to an H¿ optimization problem, for which solutions are readily available. In the special case of a stable plant, the optimal fault diagnosis scheme reduces to an internal model control architecture.

[1]  V. Walton,et al.  Detecting Instrument Malfunctions in Control Systems , 1975, IEEE Transactions on Aerospace and Electronic Systems.

[2]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..

[3]  R. Clark.  A Simplified Instrument Failure Detection Scheme , 1978, IEEE Transactions on Aerospace and Electronic Systems.

[4]  R. N. Claek.  Instrument Fault Detection , 1978 .

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

[6]  Christopher D. Wickens,et al.  Failure Detection in Dynamic Systems , 1981 .

[7]  John C. Doyle.  Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[8]  Sadanori Shingai,et al.  Failure propagating simulation and nonfailure paths search in network systems , 1982, Autom..

[9]  B. Lehtinen,et al.  The role of modern control theory in the design of controls for aircraft turbine engines , 1982 .

[10]  Theodore Djaferis.  Robust observers and regulation for systems with parameters , 1984, The 23rd IEEE Conference on Decision and Control.

[11]  A. Willsky,et al.  Analytical redundancy and the design of robust failure detection systems , 1984 .

[12]  Rolf Isermann,et al.  Process fault detection based on modeling and estimation methods - A survey , 1984, Autom..

[13]  Frank J. Alexandro.  Parameter Insensitive Observers , 1986, 1986 American Control Conference.

[14]  Mathukumalli Vidyasagar,et al.  Optimal rejection of persistent bounded disturbances , 1986 .

[15]  J. Pearson,et al.  l^{1} -optimal feedback controllers for MIMO discrete-time systems , 1987 .

[16]  R.J. Veillette,et al.  Design of reliable control systems , 1990, 29th IEEE Conference on Decision and Control.