What is it about?

This paper presents a fresh approach to the design of state observers for a class of time-delay systems with one time delay in the state and output vectors.

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Why is it important?

Since time delay is often encountered in many practical control systems, the problem of designing a state observer to estimate the state vector of a time-delay system is an important research topic and it has received considerable research attention in the literature.

Perspectives

By proposing a new coordinate state transformation, the system is first transformed into the new coordinates where all the delay terms associated with the state variables are injected into the system’s output and input. Thus, in the new coordinate system, a Luenberger-type state observer can be easily designed. Then, a backward state transformation problem is studied which allows us to reconstruct the original state vector of the system. Conditions for the existence of the state transformations and an algorithm for computing them are provided in this paper. We show that our approach works for a wider class of time-delay systems in the sense that when some existing state observer design methods fail to reconstruct the state vector, the proposed new change of coordinates and the observer scheme in this paper can still reconstruct the original state vector. Numerical examples and simulation results are given to illustrative the effectiveness of the proposed design approach.

Mr Huong Cong Dinh
Abdul Qadir Jeelani Centre for PG Studies

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This page is a summary of: A fresh approach to the design of observers for time-delay systems, Transactions of the Institute of Measurement and Control, October 2016, SAGE Publications,
DOI: 10.1177/0142331216661758.
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