Regular Papers

International Journal of Control, Automation and Systems 2008; 6(1): 135-141

© The International Journal of Control, Automation, and Systems

H∞ Multi-Step Prediction for Linear Discrete-Time Systems: A Distributed Algorithm

Hao-qian Wang, Huan-shui Zhang, and Hong Hu

Tsinghua University, China

Abstract

A new approach to H∞ multi-step prediction is developed by applying the innovation analysis theory. Although the predictor is derived by resorting to state augmentation, nevertheless, it is completely different from the previous works with state augmentation. The augmented state here is considered just as a theoretical mathematic tool for deriving the estimator. A distributed algorithm for the Riccati equation of the augmented system is presented. By using the reorganized innovation analysis, calculation of the estimator does not require any augmentation. A numerical example demonstrates the effect in reducing computing burden.

Keywords Distributed algorithm, H∞ estimation, innovation, Krein space.

Article

Regular Papers

International Journal of Control, Automation and Systems 2008; 6(1): 135-141

Published online February 1, 2008

Copyright © The International Journal of Control, Automation, and Systems.

H∞ Multi-Step Prediction for Linear Discrete-Time Systems: A Distributed Algorithm

Hao-qian Wang, Huan-shui Zhang, and Hong Hu

Tsinghua University, China

Abstract

A new approach to H∞ multi-step prediction is developed by applying the innovation analysis theory. Although the predictor is derived by resorting to state augmentation, nevertheless, it is completely different from the previous works with state augmentation. The augmented state here is considered just as a theoretical mathematic tool for deriving the estimator. A distributed algorithm for the Riccati equation of the augmented system is presented. By using the reorganized innovation analysis, calculation of the estimator does not require any augmentation. A numerical example demonstrates the effect in reducing computing burden.

Keywords: Distributed algorithm, H∞ estimation, innovation, Krein space.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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