Design of fixed-point smoother algorithm for linear discrete time-delay systems

This paper investigates the fixed-point smoothing problems for linear discrete-time systems with multiple time-delays in the observations. The linear discrete-time systems considered have 1 ＋ 1 output channels. One is instanta- neous observation and the others are delayed. The fixed-point smoothers...

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Bibliographic Details
Published in:Journal of control theory and applications Vol. 10; no. 4; pp. 523 - 527
Main Authors: Zhao, Hongguo, Cui, Peng, Guo, Xiaochun
Format: Journal Article
Language:English
Published: Heidelberg South China University of Technology and Academy of Mathematics and Systems Science, CAS 01.11.2012
School of Information Science and Technology, Taishan University, Taian Shandong 271021, China%School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China%School of Information Science and Technology, Taishan University, Taian Shandong 271021, China
Postdoctoral Research Station of School of Mathematics, Shandong University, Jinan Shandong 250061, China
Subjects:
Algorithms
Augmentation
Brief Paper
Channels
Complexity
Computational Intelligence
Control
Control and Systems Theory
Control theory
Design engineering
Engineering
Mechatronics
Optimization
Recursive
Riccati equation
Riccati方程
Robotics
Smoothing
Systems Theory
固定点平滑
平滑算法
离散时滞系统
离散时间系统
线性
设计
非递归算法
Time-delay systems
Innovation analysis
Fixed-point smoothing
ISSN:1672-6340, 1993-0623
Online Access:Get full text
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Summary:This paper investigates the fixed-point smoothing problems for linear discrete-time systems with multiple time-delays in the observations. The linear discrete-time systems considered have 1 ＋ 1 output channels. One is instanta- neous observation and the others are delayed. The fixed-point smoothers involving recursive algorithm and non-recursive algorithm are designed by using innovation analysis theory without relying on the system augmentation approach. Also, it is further shown that the design of fixed-point smoother comes down to solving 1 ＋ 1 Riccati equations with the same dimensions as the original systems.
Bibliography:44-1600/TP
This paper investigates the fixed-point smoothing problems for linear discrete-time systems with multiple time-delays in the observations. The linear discrete-time systems considered have 1 ＋ 1 output channels. One is instanta- neous observation and the others are delayed. The fixed-point smoothers involving recursive algorithm and non-recursive algorithm are designed by using innovation analysis theory without relying on the system augmentation approach. Also, it is further shown that the design of fixed-point smoother comes down to solving 1 ＋ 1 Riccati equations with the same dimensions as the original systems.
Fixed-point smoothing; Time-delay systems; Innovation analysis
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ISSN:1672-6340
1993-0623
DOI:10.1007/s11768-012-0173-0