Integrated Fault Tolerant Control for Saturated Systems with Additive Faults: A Comparative Study of Saturation Models
- 20 Downloads
In this paper, the integrated design problem of Fault Estimation (FE) and Fault Tolerant Control (FTC) for saturated systems is considered. The system suffers from input saturation and L2-bounded disturbances. To design an adaptive observer-based FE, the actuator output measurements are not used, when the actuator is saturated, there exist new interactions between FE and FTC. In such a case the separation principle for FE and FTC design does not hold anymore. In this paper, a method is introduced for integrated design of FE and FTC, which guarantees boundedness stability of such a system. To extract sufficient conditions for stability and minimum L2-gain performance for disturbance rejection, the Modified Sector Condition (MSC) is employed for saturation modeling. Also, Quadratic Polytopic Differential Inclusion (QPDI) approach is developed for the comparative study. All conditions are cast as Linear Matrix Inequality(LMIs) that can be evaluated in a single step. In a numerical example, the feasibility of the introduced method for stability guarantee is demonstrated and performance characteristics of FE and FTC in disturbance rejection are compared for both modeling approaches.
KeywordsIntegrated design linear matrix inequality observer-based fault tolerant saturated linear system
Unable to display preview. Download preview PDF.
- J. Fan, Y. Zhang, and Z. Zheng, “Integrated adaptive fault diagnosis and state-feedback control for systems with constant actuator faults and control input constraints,” in ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications (MESA11), Washington, DC, December 2011.Google Scholar
- D. Tan and R. J. Patton, “Integrated fault estimation and fault tolerant control: A joint design,” IFACPapersOnLine, vol. 48, no. 21, pp. 517–522, November 2015.Google Scholar
- J. Fan, Z. Zheng, and Y. Zhang, “Fault-tolerant control for output tracking systems subject to actuator saturation and constant disturbances: an lmi approach,” in AIAA Guidance, Navigation, and Control Conference, p. 6411. July 2011.Google Scholar
- K. Zhang, B. Jiang, X.-G. Yan, and Z. Mao, “Incipient sensor fault estimation and accommodation for inverter devices in electric railway traction systems,” International Journal of Adaptive Control and Signal Processing, vol. 31, no. 5, pp. 785–804, September 2017.MathSciNetCrossRefzbMATHGoogle Scholar
- K. Zhang, B. Jiang, and V. Cocquempot, “Adaptive observer-based fast fault estimation,” International Journal of Control, Automation, and Systems, vol. 6, no. 3, pp. 320–326, June 2008.Google Scholar