<inline-formula> <tex-math notation="LaTeX">$\ell_{1}/\ell_{-}$ </tex-math></inline-formula> Filter-Based Fault Detection for Positive Markov Jump Linear Systems With Time Delay
Jingwen Jiang, Jun Shen
IEEE Access · 2019
doi:10.1109/access.2019.2936539 (opens in a new tab)
We email you when a new notice or a question about this paper appears.
Abstract
The purpose of this paper is to design a positive fault detection filter for positive Markov jump linear systems (MJLSs) using ℓ<sub>1</sub> and ℓ<sub>-</sub> performance indices, which represent respectively, robustness and fault sensitivity. First, by converting the MJLS to an associated deterministic system, sufficient conditions are derived for the positivity, stochastic stability and ℓ<sub>1</sub>/ℓ_ performance of an augmented system consisting of the original system and the fault detection filter. Then an iterative linear programming (LP) algorithm is provided to solve these bilinear conditions, with two numerical examples presented to show the superiority of the developed approach over the existing ones.
Abstract licence: CC BY-NC-ND
Reads
Read by people on this page
None yet.
Checked or read by AI through naulon
None yet.
A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.
Are you an author?
Is this your paper?
Claim it to add your note and be paid when agents cite it. Free.