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

Date
2006-07
Advisor
Instructor
Source Title
IFAC Proceedings Volumes
Print ISSN
1474-6670
Electronic ISSN
Publisher
Elsevier
Volume
Issue
Pages
252 - 257
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
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.

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Keywords
MIMO systems, PID control, Time delay, Unstable systems, Closed-loop, Design criterion, Free parameters, Linear time-invariant, MIMO plants, Multi-output, Multiinput, Output channels, PID controllers, Small-gain condition, Stabilizability, Unstable system, Controllers, Electric control equipment, Poles, Stability criteria, Three term control systems, Two term control systems, Proportional control systems
Citation
Published Version (Please cite this version)