Further result on H∞ filter design for continuous-time Markovian jump systems with time-varying delay

Li, Zhicheng; Yu, Zhandong; Zhao, Hui

doi:10.1016/j.jfranklin.2014.04.022

Cited by 6 publications

(1 citation statement)

References 28 publications

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“…In the literature, various methods on state observers for time-delay systems have been primarily for systems where their output measurements are not subjected to time delays (see, for example, Boutayeb, 2001; Chen and Patton, 1999; Darouach, 2001; Fairman and Kumar, 1986; Ge et al, 2014; Huong and Trinh, 2015; Nam et al, 2014; Park, 2004; Park et al, 2008; Park and Kwon, 2009; Trinh, 1999; Zhao and Wang, 2014). However, in many practical systems, output measurements are normally subjected to time delays (see, for example, Chen and Wang, 2014; Ha et al, 2014; Hua et al, 2015; Li et al, 2014; Su et al, 2014; Trinh and Fernando, 2012; Yan et al, 2010; Zhong et al, 2013 and the references therein). Therefore, it is important to consider the state estimation problem of a wider class of time-delay systems where time delays occur not only in the state vector but also in the output vector.…”

Section: Introductionmentioning

confidence: 99%

A fresh approach to the design of observers for time-delay systems

Huong

2016

Transactions of the Institute of Measurement and Control

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This paper presents a fresh approach to the design of state observers for a class of time-delay systems with one time delay in the state and output vectors. By proposing a new coordinate state transformation, the system is first transformed into the new coordinates where all the delay terms associated with the state variables are injected into the system’s output and input. Thus, in the new coordinate system, a Luenberger-type state observer can be easily designed. Then, a backward state transformation problem is studied which allows us to reconstruct the original state vector of the system. Conditions for the existence of the state transformations and an algorithm for computing them are provided in this paper. We show that our approach works for a wider class of time-delay systems in the sense that when some existing state observer design methods fail to reconstruct the state vector, the proposed new change of coordinates and the observer scheme in this paper can still reconstruct the original state vector. Numerical examples and simulation results are given to illustrative the effectiveness of the proposed design approach.

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