Enhanced H∞ filtering for continuous-time state-delayed systems
Y Zhang, AG Wu, GR Duan - International Journal of Automation and …, 2009 - Springer
Y Zhang, AG Wu, GR Duan
International Journal of Automation and Computing, 2009•SpringerThe H∞ filtering problem for continuous-time polytopic uncertain time-delay systems is
investigated. Attention is focused on the design of full-order filters guaranteeing a prescribed
H∞ attenuation level for the filtering error system. First, a simple alternative proof is given for
an improved linear matrix inequality (LMI) representation of H∞ performance. Then, based
on the performance criterion which keeps Lyapunov matrices out of the product of system
dynamic matrices, a sufficient condition for the existence of robust estimators is formulated in …
investigated. Attention is focused on the design of full-order filters guaranteeing a prescribed
H∞ attenuation level for the filtering error system. First, a simple alternative proof is given for
an improved linear matrix inequality (LMI) representation of H∞ performance. Then, based
on the performance criterion which keeps Lyapunov matrices out of the product of system
dynamic matrices, a sufficient condition for the existence of robust estimators is formulated in …
Abstract
The H ∞ filtering problem for continuous-time polytopic uncertain time-delay systems is investigated. Attention is focused on the design of full-order filters guaranteeing a prescribed H ∞ attenuation level for the filtering error system. First, a simple alternative proof is given for an improved linear matrix inequality (LMI) representation of H ∞ performance. Then, based on the performance criterion which keeps Lyapunov matrices out of the product of system dynamic matrices, a sufficient condition for the existence of robust estimators is formulated in terms of LMIs, and the corresponding filter design is cast into a convex optimization problem which can be efficiently handled by using standard numerical algorithms. It is shown that the proposed design strategy allows the use of parameter-dependent Lyapunov functions and hence it is less conservative than some earlier results. A numerical example is employed to demonstrate the feasibility and advantage of the proposed design.
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