PID controller synthesis for a class of unstable MIMO plants with I/O delays
IFAC Proceedings Volumes
252 - 257
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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.
Electric control equipment
Three term control systems
Two term control systems
Proportional control systems
Published Version (Please cite this version)https://doi.org/10.3182/20060710-3-IT-4901.00042
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