Robust reliable dissipative filtering for networked control systems with sensor failure

Kalidass Mathiyalagan; Ju H. Park; Rathinasamy Sakthivel

Robust reliable dissipative filtering for networked control systems with sensor failure

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Author(s): Kalidass Mathiyalagan ¹ ; Ju H. Park ¹ ; Rathinasamy Sakthivel ²
- Affiliations: 1: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;
  2: Department of Mathematics, Sungkyunkwan University, Suwon 440 746, Republic of Korea
Source: Volume 8, Issue 8, October 2014, p. 809 – 822
DOI: 10.1049/iet-spr.2013.0441 , Print ISSN 1751-9675, Online ISSN 1751-9683

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Received 17/11/2013, Accepted 02/02/2014, Revised 28/01/2014, Published 17/10/2014

This study is concerned with the problem of robust reliable dissipative filter design for networked control systems (NCSs) with sensor failures and random packet dropouts. The considered NCS model is subject to the sources of uncertainty in the system parameters. The sensor signals are modelled by sequences of a Bernoulli distributed white sequence and the packet dropouts may occur randomly during transmission. The main objective is to design a suitable reliable dissipative filter such that, for all network-induced imperfections, a resulting error system is robustly stochastically stable and strictly (𝒬, 𝒮, ℛ) dissipative. The results are obtained for known as well as unknown sensor failure rates, so the results are more general one because it can guarantee the dissipativity of system whether or not the sensor encounter failures. The sufficient conditions for existence of filters are derived in terms of linear matrix inequality (LMI) approach and the corresponding filter parameters can be obtained by solution to a set of LMIs, which can be easily solved by using some standard numerical packages. Finally, two numerical examples are given to illustrate the applicability and effectiveness of the proposed filter design.

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