IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Full-Order Observer for Discrete-Time Linear Time-Invariant Systems with Output Delays
Joon-Young CHOI
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2014 Volume E97.A Issue 9 Pages 1975-1978

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Abstract

We design a full-order observer for discrete-time linear time-invariant systems with constant output delays. The observer design is based on the output delay model expressed by a two-dimensional state variable, with discrete-time and space independent variables. Employing a discrete-time state transformation, we construct an explicit strict Lyapunov function that enables us to prove the global exponential stability of the full-order observer error system with an explicit estimate of the exponential decay rate. The numerical example demonstrates the design of the full-order observer and illustrates the validity of the exponential stability.

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© 2014 The Institute of Electronics, Information and Communication Engineers
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