A New Kalman Filter Based State Estimation Method for Multi-input Multi-output Unit Time-Delay Systems

Behrouz Safarinejadian    and Mohiyeddin Mozaffari

doi:10.17485/ijst/2013/v6i3.8

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A New Kalman Filter Based State Estimation Method for Multi-input Multi-output Unit Time-Delay Systems

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2013/v6i3.8

Year: 2013, Volume: 6, Issue: 3, Pages: 1-8

Original Article

A New Kalman Filter Based State Estimation Method for Multi-input Multi-output Unit Time-Delay Systems

Behrouz Safarinejadian^{1 *} and Mohiyeddin Mozaffari²

¹Department of Electrical Engineering, Shiraz University of Technology, [email protected].
²Department of Electrical Engineering, Shiraz University of Technology, [email protected].
*Author For Correspondence
Behrouz Safarinejadian
Department of Electrical Engineering
Email:[email protected].

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

A new state estimation method for unit time-delay systems will be presented in this paper. Kalman filter will be considered to estimate the states of a linear system with unit time-delay. First, an augmented state vector is defined which consists of the main state vector and the state vector with a unit time-delay. The states of the augmented system will be estimated using Kalman filter algorithm. From the augmented state vector, the main state vector can be obtained. Finally, an example is provided to test the performance of the proposed method. Keywords: Kalman Filter, State Estimation, Augmented System, Time Delay