Authors
Zhuo Wang1, *, Ruigang Wang2
1The Research Institute of Frontier Science, Beihang University, 37 Xueyuan Road, Haidian District, Beijing 100191, People’s Republic of China
2The School of Instrumentation and Optoelectronic Engineering, Beihang University, 37 Xueyuan Road, Haidian District, Beijing 100191, People’s Republic of China
*Corresponding author. Email: [email protected]
Corresponding Author
Zhuo Wang
Received 21 October 2019, Accepted 10 December 2019, Available Online 29 February 2020.
DOI
https://doi.org/10.2991/jrnal.k.200222.006How to use a DOI?
Keywords
Data-based analysis methods; discrete-time LTI systems with time-delays; high dimensional LTI model; measured state and output data; state controllability and state observability
Abstract
We present a couple of data-based methods to analyze the state controllability and state observability of discrete-time Linear time-Invariant (LTI) systems with time-delays, which have unknown parameter matrices. They first augment the system into a high dimensional LTI model, then apply the measured state and output data to directly build the controllability and observability matrices respectively of this high dimensional model, whose ranks are used as the criteria of the corresponding properties of the system before augmentation. These data-based methods have low computational load and calculation complexity.
Copyright
© 2020 The Authors. Published by ALife Robotics Corp. Ltd.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).