Full-Order Observer for Discrete-Time Linear Time-Invariant Systems with Output Delays
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.9 pp.1975-1978
- Publication Date
- 2014/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.1975
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Joon-Young CHOI
Pusan National University
Keyword
Latest Issue
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Joon-Young CHOI, "Full-Order Observer for Discrete-Time Linear Time-Invariant Systems with Output Delays" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 9, pp. 1975-1978, September 2014, doi: 10.1587/transfun.E97.A.1975.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1975/_p
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@ARTICLE{e97-a_9_1975,
author={Joon-Young CHOI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Full-Order Observer for Discrete-Time Linear Time-Invariant Systems with Output Delays},
year={2014},
volume={E97-A},
number={9},
pages={1975-1978},
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.},
keywords={},
doi={10.1587/transfun.E97.A.1975},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Full-Order Observer for Discrete-Time Linear Time-Invariant Systems with Output Delays
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1975
EP - 1978
AU - Joon-Young CHOI
PY - 2014
DO - 10.1587/transfun.E97.A.1975
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2014
AB - 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.
ER -
English
