Design of an Integrated Observer Structure for Robust Fault Detection

An integrated observer structure consisting of an unknown input observer and proportional integral observer with an additional fading term for robust fault detection is presented. First, a brief overview of each observer is outlined with the associated advantages. The design equations of each observer is required for the design of combined observer structure termed as PIFUIO. It is shown that the fading term of this observer plays a key role in reliable estimation of faults decoupled from the unknown disturbance or vice versa. The robust detection of sensor fault is also considered with the presence of unknown inputs. A numerical example is provided to illustrate the advantage of PIFUIO.

[1]  D. Söffker,et al.  Proportional-Integral-Observer: A brief survey with special attention to the actual methods using ACC Benchmark , 2015 .

[2]  Krishna Busawon,et al.  On the design of integral and proportional integral observers , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[3]  M. Saif,et al.  Fault detection and isolation based on novel unknown input observer design , 2006, 2006 American Control Conference.

[4]  Jeang-Lin Chang,et al.  Applying discrete-time proportional Integral observers for state and disturbance estimations , 2006, IEEE Trans. Autom. Control..

[5]  Bahram Shafai,et al.  Proportional-Integral Observer in Robust Control, Fault Detection, and Decentralized Control of Dynamic Systems , 2015 .

[6]  P. Müller,et al.  State estimation of dynamical systems with nonlinearities by using proportional-integral observer , 1995 .

[7]  B. Shafai,et al.  Robust control system design with a proportional integral observer , 1989 .

[8]  Guo-Ping Liu,et al.  Eigenstructure assignment design for proportional-integral observers: continuous-time case , 2001 .

[9]  Didier Georges,et al.  Robust fault diagnosis for linear descriptor systems using proportional integral observers , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[10]  Ai-Guo Wu,et al.  Robust fault detection in linear systems based on PI observers , 2006, Int. J. Syst. Sci..

[11]  M. Benrejeb,et al.  State and sensor faults estimation via a proportional integral observer , 2009, 2009 6th International Multi-Conference on Systems, Signals and Devices.

[12]  M. Darouach.  On the novel approach to the design of unknown input observers , 1994, IEEE Trans. Autom. Control..

[13]  Jie Chen,et al.  On eigenstructure assignment for robust fault diagnosis , 2000 .

[14]  J. Stoustrup,et al.  LTR design of discrete-time proportional-integral observers , 1996, IEEE Trans. Autom. Control..

[15]  M. Saif,et al.  Unknown input observer design for a class of nonlinear systems: an LMI approach , 2006, American Control Conference.