PID controller synthesis for a class of unstable MIMO plants with I/O delays
Date
2006-07
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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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IFAC Proceedings Volumes
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Elsevier
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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
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Language
English