Open AccessEvent triggered robust filter design for discrete‐time systems
Author(s) -
Meng Xiangyu,
Chen Tongwen
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0541
Subject(s) - control theory (sociology) , filter (signal processing) , mathematics , logarithm , discrete time and continuous time , network packet , transmission (telecommunications) , event (particle physics) , detector , algorithm , computer science , statistics , telecommunications , artificial intelligence , control (management) , computer vision , mathematical analysis , computer network , physics , quantum mechanics
This study introduces a general event triggered framework of state estimation for discrete‐time systems with parameter uncertainties residing in a polytope. A robust filter is designed to ensure the ℓ 2 stability from disturbance to the estimation error and to minimise the ℓ 2 gain subject to both packet rate and size constraints. The number of data transmission and the data size are reduced by the utilisation of an event detector and a logarithmic quantiser, respectively. The event detector compares the current output measurement with the last transmitted measurement: if the difference is beyond a prescribed percentage of the current measurement, then the current measurement is transmitted to the quantiser. The quantiser encodes the measurement before sending to the filter via a digital communication channel. Conditions for filter design are found using polynomially parameter‐dependent Lyapunov functions, which generalise the results using quadratic and linearly parameter‐dependent Lyapunov functions. The usefulness of the techniques is demonstrated with an illustrative example.