For MIMO LTI plants, a backward-difference PID implementation is stable at all sufficiently small sampling periods exactly when the ideal loop is stable and the derivative channel matrix CBK_D is Schur, away from boundary spectra.
The future of PID control,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion
For MIMO LTI plants, a backward-difference PID implementation is stable at all sufficiently small sampling periods exactly when the ideal loop is stable and the derivative channel matrix CBK_D is Schur, away from boundary spectra.