Asynchronous H ∞ Estimation for Two-Dimensional Nonhomogeneous Markovian Jump Systems with Randomly Occurring Nonlocal Sensor Nonlinearities
Joint Authors
Zhang, Ying
Zhang, Rui
Sreeram, Victor
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is devoted to the problem of asynchronous H ∞ estimation for a class of two-dimensional (2D) nonhomogeneous Markovian jump systems with nonlocal sensor nonlinearity, where the nonlocal measurement nonlinearity is governed by a stochastic variable satisfying the Bernoulli distribution.
The asynchronous estimation means that the switching of candidate filters may have a lag to the switching of system modes, and the varying character of transition probabilities is considered to reside in a convex polytope.
The jumping process of the error system is modeled as a two-component Markov chain with extended varying transition probabilities.
A stochastic parameter-dependent approach is provided for the design of H ∞ filter such that, for randomly occurring nonlocal sensor nonlinearity, the corresponding error system is mean-square asymptotically stable and has a prescribed H ∞ performance index.
Finally, a numerical example is used to illustrate the effectiveness of the developed estimation method.
American Psychological Association (APA)
Zhang, Rui& Zhang, Ying& Sreeram, Victor. 2015. Asynchronous H ∞ Estimation for Two-Dimensional Nonhomogeneous Markovian Jump Systems with Randomly Occurring Nonlocal Sensor Nonlinearities. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073188
Modern Language Association (MLA)
Zhang, Rui…[et al.]. Asynchronous H ∞ Estimation for Two-Dimensional Nonhomogeneous Markovian Jump Systems with Randomly Occurring Nonlocal Sensor Nonlinearities. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073188
American Medical Association (AMA)
Zhang, Rui& Zhang, Ying& Sreeram, Victor. Asynchronous H ∞ Estimation for Two-Dimensional Nonhomogeneous Markovian Jump Systems with Randomly Occurring Nonlocal Sensor Nonlinearities. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073188