Brief paper: Signal-to-noise ratio fundamental constraints in discrete-time linear output feedback control

Authors:
Alejandro J. Rojas
Affiliations:
-
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 4
Cited 0

Fundamental Limitations in Filtering Control

Fundamental Limitations in Filtering Control
Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates

SIAM Journal on Control and Optimization
H2 regulation performance limitations for SIMO linear time-invariant feedback control systems

Automatica (Journal of IFAC)
Brief paper: Control system design subject to SNR constraints

Automatica (Journal of IFAC)

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Abstract

In the present paper we study the fundamental limitations on stability that arise when an additive coloured Gaussian noise (ACGN) channel is explicitly considered in a linear time invariant (LTI) control feedback loop. By considering a linear setting we can express the fundamental limitation on stability as a lower bound in closed-form on the ACGN channel signal-to-noise ratio (SNR). Outside the context of networked control, the obtained lower bound can be interpreted as an H"2 performance limitation.