Abstract
In Chap. 5, the H ∞ filtering problem is studied for a class of nonlinear systems with randomly occurring incomplete information, where the considered incomplete information includes both the sensor saturations and the missing measurements. A new phenomenon of sensor saturation, namely, randomly occurring sensor saturation (ROSS), is first put forward in order to better reflect the reality in a networked environment. Then, a novel sensor model is established to account for both the ROSS and missing measurement in a unified representation. Based on this sensor model, a regional H ∞ filter with a certain ellipsoid constraint is designed such that the filtering error dynamics is locally mean-square asymptotically stable and the H ∞−norm requirement is satisfied.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Cao, Y., Lin, Z., Chen, B.: An output feedback H ∞ controller design for linear systems subject to sensor nonlinearities. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50(7), 914–921 (2003)
Cao, Y., Lin, Z., Ward, D.: An antiwindup approach to enlarging domain of attraction for linear systems subject to actuator saturation. IEEE Trans. Autom. Control 47(1), 140–145 (2002)
Cao, Y., Lin, Z., Ward, D.: H ∞ antiwindup design for linear systems subject to input saturation. J. Guid. Control Dyn. 25(3), 455–463 (2002)
Hu, T., Lin, Z., Chen, B.: Analysis and design for discrete-time linear systems subject to actuator saturation. Syst. Control Lett. 45(2), 97–112 (2002)
Xiao, Y., Cao, Y., Lin, Z.: Robust filtering for discrete-time systems with saturation and its application to transmultiplexers. IEEE Trans. Signal Process. 52(2), 1266–1277 (2004)
Yang, F., Li, Y.: Set-membership filtering for systems with sensor saturation. Automatica 45(8), 1896–1902 (2009)
Zuo, Z., Ho, D.W.C., Wang, Y.: Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation. Automatica 46(3), 569–576 (2010)
Zuo, Z., Wang, J., Huang, L.: Output feedback H ∞ controller design for linear discrete-time systems with sensor nonlinearities. IEE Proc., Control Theory Appl. 152(1), 9–26 (2005)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag London
About this chapter
Cite this chapter
Shen, B., Wang, Z., Shu, H. (2013). H ∞ Filtering with Randomly Occurring Sensor Saturations and Missing Measurements. In: Nonlinear Stochastic Systems with Incomplete Information. Springer, London. https://doi.org/10.1007/978-1-4471-4914-9_5
Download citation
DOI: https://doi.org/10.1007/978-1-4471-4914-9_5
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4913-2
Online ISBN: 978-1-4471-4914-9
eBook Packages: EngineeringEngineering (R0)