Chained aggregation and three-control-component design: a geometric analysis†

1 April 1982

journal article
research article
Published by Taylor & Francis in International Journal of Control

Vol. 35 (4) , 621-635
https://doi.org/10.1080/00207178208922643

Abstract

Chained aggregation has been introduced as a procedure for transforming a system into the generalized Hessenberg representation (GHR). A three-control-component design (TCCD) based on the GHR for hierarchical control of large scale systems has been proposed. Here, a geometric analysis of the GHR is given, and the underlying features of the TCCD are exposed. This allows the development of a more general version of the TCCD, and a deeper understanding of the structural features of the resulting design. A key idea, model reduction by residual system feedback, is explored extensively.

Keywords

This publication has 10 references indexed in Scilit:

Maximal order reduction and supremal (A,B)-invariant and controllability subspaces
IEEE Transactions on Automatic Control, 1980
Linear Multivariable Control: a Geometric Approach
Published by Springer Nature ,1979
System zeros and invariant zeros
International Journal of Control, 1978
Generalized Hessenberg transformations for reduced-order modelling of large-scale systems†
International Journal of Control, 1978
On maximal unobservable subspace, zeros and their applications
International Journal of Control, 1977
A decomposition of near-optimum regulators for systems with slow and fast modes
IEEE Transactions on Automatic Control, 1976
Discrete Riccati Equations: Alternative Algorithms, Asymptotic Properties, and System Theory Interpretations
Published by Elsevier ,1976
The use of zeros and zero-directions in model reduction
International Journal of Control, 1976
On the cancellation of multivariable system zeros by state feedback
IEEE Transactions on Automatic Control, 1974
Input–Output Structure of Linear Systems with Application to the Decoupling Problem
SIAM Journal on Control, 1971