Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 51, Issue 5, Pages 262-268Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2004.825596
Keywords
linear matrix inequalities (LMIs); Markovian jump systems; nonlinear disturbances; robust filtering; time delay
Categories
Funding
- Engineering and Physical Sciences Research Council [GR/S27658/01] Funding Source: researchfish
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In this paper, we study the robust exponential filter design problem for a class of uncertain. time-delay systems with both Markovian jumping parameters,and nonlinear disturbances. The jumping parameters considered here are generated from a continuous-time discrete-state homogeneous Markov process, and the parameter uncertainties appearing in the state and output equations are real, time dependent, and norm bounded. The time-delay and the nonlinear disturbances are assumed to be unknown. The purpose of the problem under investigation is to design it linear, delay-free, uncertainty-independent state estimator such that, for all admissible uncertainties as Well as nonlinear disturbances, the dynamics of the estimation error is stochastically exponentially stable in the mean square, independent of the time delay. We address both the filtering analysis and synthesis issues, and show that the problem of exponential filtering for the class of uncertain time-delay jump systems with nonlinear disturbances can be solved in terms of the solutions to a set of linear (quadratic) matrix inequalities. A numerical example is exploited to demonstrate the usefulness of the developed theory.
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