Abstract
Stochastic distribution control (SDC) systems are a group of systems where the outputs considered are the measured probability density functions (PDFs) of the system output while subjected to a normal crisp input. The linear B-spline model is used for the shape control of the system output probability density functions (PDFs). If target PDF cannot be determined in advance, entropy is first introduced to design the fault tolerant controller of SDC systems. The mean represents the center location of the stochastic variable; it is reasonable that minimum entropy fault tolerant controller can be designed subjected to mean constraints. Through the controller reconfiguration, the system entropy subjected to mean restriction can still be minimized when fault occurs. An illustrative example is utilized to demonstrate the use of fault diagnosis and minimum entropy fault tolerant control algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mohsen S, Mohsen M (2011) A neuro-fuzzy online fault detection and diagnosis algorithm for nonlinear and dynamic systems. Int J Control Autom Syst 4(9):665–670
Wang H (2000) Bounded dynamic stochastic systems: modelling and control, vol 3. Springer, London, pp 121–124
Wang H, Afshar P (2009) ILC-based fixed-structure controller design for output PDF shaping in stochastic systems using LMI techniques. IEEE Trans Autom Control 4(54):760–763
Wang H, Lin W (2000) Applying observer based FDI techniques to detect faults in dynamic and bounded stochastic distribution. Int J Control 15(73):1424–1426
Yin LP, Guo L (2009) Fault isolation for multivariate nonlinear non-Gaussian systems using generalized entropy optimization principle. Automatica 11(45):53–58
Isermann R (2005) Model-based fault-detection and diagnosis-status and applications. Annual Rev Control 1(29):71–75
Frank PM, Ding X (1997) Survey of robust residual generation and evaluation methods in observer-based fault detection systems. J Process Control 6(7):403–406
Wang YQ, Zhou DH, Qin SJ, Wang H (2008) Active fault-tolerant control for a class of nonlinear systems with sensor faults. Int J Control Autom Syst 3(6):339–340
Basseville M, Nikiforov I (2002) Fault isolation for diagnosis: nuisance rejection and multiple hypothesis testing. Ann Rev Control 26:189–192
Yao LN, Wang AP, Wang H (2008) Fault detection, diagnosis and tolerant control for non-gaussian stochastic distribution systems using a rational square-root approximation model. Int J Model Ident Control 2(3):162–167
Chen RH, Mingori DL, Speye JL (2003) Optimal stochastic fault detection filter. Automatica 3(39):377–380
Guo L, Wang H (2005) PID controller design for output PDFs of stochastic systems using linear matrix inequalities. IEEE Trans Syst Man Cybern B Cybern 1(35):65–71
Acknowledgments
This paper was supported by Chinese NSFC 61104022 and 10971202.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this paper
Cite this paper
Yao, L., Cao, W., Wang, H. (2013). Minimum Entropy Fault-Tolerant Control of the Non-Gaussian Stochastic Distribution System. In: Zhong, Z. (eds) Proceedings of the International Conference on Information Engineering and Applications (IEA) 2012. Lecture Notes in Electrical Engineering, vol 218. Springer, London. https://doi.org/10.1007/978-1-4471-4847-0_20
Download citation
DOI: https://doi.org/10.1007/978-1-4471-4847-0_20
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4846-3
Online ISBN: 978-1-4471-4847-0
eBook Packages: EngineeringEngineering (R0)