Stability of digital control systems subject to jump linear random perturbations

In a number of applications involving fault tolerant digital control systems, there naturally arises a class of jump linear discrete-time systems characterized by having random perturbations in their drift terms. In the paper, a necessary and sufficient condition for mean square stability of such systems is developed and then applied to the stability analysis of digital flight control systems operating in electromagnetic (EM) environments. In particular, the stability degradation due to EM induced digital memory errors is examined.

[1]  Martin L. Shooman.  A study of occurrence rates of Electromagnetic Interference (EMI) to aircraft with a focus on HIRF (external) High Intensity Radiated Fields , 1994 .

[2]  Oscar R. González,et al.  Stability analysis of digital linear flight controllers subject to electromagnetic disturbances , 2000, IEEE Trans. Aerosp. Electron. Syst..

[3]  R. Ash,et al.  Real analysis and probability , 1975 .

[4]  Y. C. Yeh,et al.  Triple-triple redundant 777 primary flight computer , 1996, 1996 IEEE Aerospace Applications Conference. Proceedings.

[5]  H. Furstenberg.  Noncommuting random products , 1963 .

[6]  Mustafa Dogan,et al.  Digital linear state feedback control subject to electromagnetic disturbances , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[7]  M. Fragoso,et al.  Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters , 1993 .

[8]  Ansi Ieee,et al.  IEEE Standard for Binary Floating Point Arithmetic , 1985 .

[9]  O.R. Gonzalez,et al.  Analysis of memory bit errors induced by electromagnetic interference in closed-loop digital flight control systems , 2000, 19th DASC. 19th Digital Avionics Systems Conference. Proceedings (Cat. No.00CH37126).

[10]  W.S. Gray,et al.  Modeling electromagnetic disturbances in closed-loop computer controlled flight systems , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[11]  H. Furstenberg,et al.  Products of Random Matrices , 1960 .