PID controller synthesis for a class of unstable MIMO plants with I/O delays

Date
2006-07
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
IFAC Proceedings Volumes
Print ISSN
1474-6670
Electronic ISSN
Publisher
Elsevier
Volume
Issue
Pages
252 - 257
Language
English
Journal Title
Journal ISSN
Volume Title
Series
Abstract

Conditions are presented for closed-loop stabilizability of linear time-invariant (LTI) multi-input, multi-output (MIMO) plants with I/O delays (time delays in the input and/or output channels) using PID (Proportional + Integral + Derivative) controllers. We show that systems with at most two unstable poles can be stabilized by PID controllers provided a small gain condition is satisfied. For systems with only one unstable pole, this condition is equivalent to having sufficiently small delay-unstable pole product. Our method of synthesis of such controllers identify some free parameters that can be used to satisfy further design criteria than stability. Copyright © 2006 IFAC.

Course
Other identifiers
Book Title
Citation
Published Version (Please cite this version)