Process Modelling for Control: A Unified Framework Using Standard Black-box Techniques

Symbols and Abbreviations

Abbreviations

ARMAX

Auto-Regressive Moving-Average with eXogenous in-puts

ARX

Auto-Regressive with eXogenous inputs

BJ

Box-Jenkins

EDF

lectricit de France

FIR

Finite Impulse Response

GPC

Generalised Predictive Control

LFT

Linear Fractional Transformation

LMI

Linear Matrix Inequality

LQG

Linear Quadratic Gaussian

LTI

Linear Time Invariant

MIMO

Multi-Input Multi-Output

MISO

Multi-Input Single-Output

MPC

Model-based Predictive Control

OE

Output Error

PI

Proportional Integral

PID

Proportional Integral Derivative

PRBS

Pseudo-Random Binary Signal

PWR

Pressurised Water Reactor

QFT

Quantitative Feedback Theory

SISO

Single-Input Single-Output

SNR

Signal-to-Noise Ratio

w.p.

with probability

w.r.t.

with respect to

Scalar and Vector Signals

d( t)

measured and/or unmeasured disturbances vector

e( t)

white noise signal

f( t)

controller output signal in the general closed-loop representation

g( t)

controller input signal in the general closed-loop representation

h( t)

controller input signal in an LFT

l( t)

controller output signal in an LFT

p( t)

step disturbance signal

r( t)

reference signal

r 1( t)

reference signal

r 2( t)

reference or feed-forward signal

u( t)

input signal

?( t)

stochastic disturbance signal

w( t)

exogenous input signal of an LFT

x( t)

state vector of a system

y(

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