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Reduced-order output feedback controllers for discrete-time systems

Trinh, Hieu, Nahavandi, Saeid and Fernando, T. 2001, Reduced-order output feedback controllers for discrete-time systems, Control and intelligent systems, vol. 29, no. 2, pp. 40-47.

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Title Reduced-order output feedback controllers for discrete-time systems
Author(s) Trinh, Hieu
Nahavandi, Saeid
Fernando, T.
Journal name Control and intelligent systems
Volume number 29
Issue number 2
Start page 40
End page 47
Publisher ACTA Press
Place of publication Anaheim, Calif.
Publication date 2001
ISSN 1480-1752
Keyword(s) Discrete-time systems
output feedback controllers
reduced-order controllers
Summary This article considers the stabilization by output feedback controllers for discrete-time systems. The controller can place all of the closed-loop poles within a specified disk D(-α, 1/β), centred at (-α,0) with radius 1/β, where | - α|  + 1/β < 1. The design method involves the decomposition of the system into two portions. The first portion comprises of all of the poles that are lying outside of the specified disk. A reduced-order model is constructed for this portion. The second portion comprises of all of the remaining poles of the system and is characterized by an H∞-norm bound. The controller design is then accomplished by using H∞-control theory. It is shown that, subject to the solvability of an algebraic Riccati equation, output feedback controllers can be systematically derived. The order of the controller is low, and can be as low as the number of the open-loop poles that are lying outside of the specified disk. A step-by-step design algorithm is provided. Numerical examples are given to illustrate the attractiveness of the design method.
Language eng
Field of Research 091302 Automation and Control Engineering
HERDC Research category C1 Refereed article in a scholarly journal
Persistent URL http://hdl.handle.net/10536/DRO/DU:30001382

Document type: Journal Article
Collection: School of Engineering and Technology
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