Extended ℋ∞ Estimation for Two-Dimensional Markov Jump Systems under Asynchronous Switching

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ID: 69773
2013
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Abstract
This paper is concerned with the problem of designing ℋ∞ filters for a class of two-dimensional (2D) Markov jump systems under asynchronous switching. The problem under consideration is primarily motivated by a realistic situation that the switching of candidate filters may have a lag to the switching of system modes. Different from conventional techniques, by a suitable augmentation, the jumping process of the error system is represented by a two-component Markov chain. Then, the extended transition probabilities are provided for the error system. A stochastic Lyapunov function approach is proposed for the design of desired filters that ensure a prescribed ℋ∞ performance for admissible asynchronous switching. Finally, a numerical example is given to illustrate the effectiveness of the developed method.
Reference Key
zhang2013extendedmathematical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Zhang, Rui;Zhang, Ying;Zhao, Yan;Liao, Jingsheng;Li, Baopu;
Journal mathematical problems in engineering
Year 2013
DOI
DOI not found
URL
http://dx.doi.org/10.1155/2013/734271
Keywords
Engineering (General). Civil engineering (General) Technology Mechanical engineering and machinery Science physics telecommunication electronics mathematics electronic computers. computer science geophysics. cosmic physics

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