New designs of reduced-order observer-based controllers for singularly perturbed linear systems
type: Item
instance of: scholarly article
title: New designs of reduced-order observer-based controllers for singularly perturbed linear systems
zbMATH Open document ID: 1426.93187
DOI: 10.1155/2017/2859548
author: Heonjong Yoo
author: Zoran Gajic
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: The slow and fast reduced-order observers and reduced-order observer-based controllers are designed by using the two-stage feedback design technique for slow and fast subsystems. The new designs produce an arbitrary order of accuracy, while the previously known designs produce the accuracy of \(O(\varepsilon)\) only where \(\varepsilon\) is a small singular perturbation parameter. Several cases of reduced-order observer designs are considered depending on the measured state space variables: only all slow variables are measured, only all fast variables are measured, and some combinations of the slow and fast variables are measured. Since the two-stage methods have been used to overcome the numerical ill-conditioning problem for Cases (III)--(V), they have similar procedures. The numerical ill-conditioning problem is avoided so that independent feedback controllers can be applied to each subsystem. The design allows complete time-scale separation for both the reduced-order observer and controller through the complete and exact decomposition into slow and fast time scales. This method reduces both offline and online computations.
Mathematics Subject Classification ID: 93C70
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 34D15
zbMATH DE Number: 6971916
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2859548
OpenAlex ID: W2772606963
cites work: Pole placement and order reduction in two-time-scale control systems through Riccati iteration
cites work: Q3791007
cites work: Q4527759
cites work: Full-order observers for a class of singularly perturbed linear time-varying systems
cites work: Dynamical feedback control for a class of singularly perturbed linear systems using a full-order observer
cites work: Multiple time scale dynamics
cites work: Low-order observer for discrete-time systems with slow and fast modes
description: scientific article; zbMATH DE number 6971916