Analysis and Control of Linear Systems - Chapter 16 ppt
Analysis and Control of Linear Systems - Chapter 16 ppt
... reduction of linear time-varying
dynamical systems , SIAM J. Control & Optimization, p. 47 6-4 94, 1989.
542 Analysis and Control of Linear Systems
error
dynamic 271, 277, 285, 287
static 27 1-2 74, ...
Gif-sur-Yvette, France
Gilles DUC
École Supérieure d’Électricité (Supélec)
Service Automatique
Gif-sur-Yvette, France
522 Analysis and Control...
Analysis and Control of Linear Systems - Chapter 0 pptx
... Congress Cataloging-in-Publication Data
[Analyse des systèmes linéaires/Commande des systèmes linéaires. eng] Analysis and control
of linear systems analysis and control of linear systems/ edited ... systems/ edited by Philippe de Larminat.
p. cm.
ISBN-13: 97 8-1 -9 0520 9-3 5-4
ISBN-10: 1-9 0520 9-3 5-5
1. Linear control systems. 2. Automatic...
Analysis and Control of Linear Systems - Chapter 1 pptx
... values of
ξ
.
10
0
-1 0
-2 0
-3 0
0
-4 5
-9 0
-1 35
-1 80
1
T
1
1
T
2
Module (dB)Phase (degree)
Figure 1.23. Bode diagram of a second order system with
ξ
≥
1
20 Analysis and Control of Linear Systems ... of Linear Systems
Figure 1.19. Unit-step response of the second order system
ξ
≥
1
1=
ξ
: critical state. The roots of the deno...
Analysis and Control of Linear Systems - Chapter 4 ppt
... eigenvalues of A appear (certain powers l
ij
being
then equal to 0):
110 Analysis and Control of Linear Systems
The object of this chapter is to describe certain structural properties of linear
systems ... and
intersection of sub-spaces (the sum and intersection of two A-invariant sub-spaces
are A-invariant). Consequently, for any
L ⊂ X sub-space, there...
Analysis and Control of Linear Systems - Chapter 5 pptx
... 144 Analysis and Control of Linear Systems
On the other hand, the Fourier transform preserves the energy (Parseval theorem).
Indeed, the energy of a continuous-time signal y(t) or of a discrete-time ... proximity of ν
0
.
142 Analysis and Control of Linear Systems
A discrete-time deterministic signal y[k],k ∈Zis, by definition, a sequence of
complex numbers:
y =...
Analysis and Control of Linear Systems - Chapter 11 pptx
... appearance of instability). Finally, in [11.89], the fact of hiding the
oscillating poles of the process leads to a rejection of oscillating interference.
364 Analysis and Control of Linear Systems ...
y
A
N
u
A
N
v
o
y
o
u
+= [11.62]
338 Analysis and Control of Linear Systems
The number of equations is the number of rows in the Sylvester system and...
Analysis and Control of Linear Systems - Chapter 12 pptx
...
Consequently, this type of control favors the selection of short sampling periods
and it proves to be well-adapted to the control of fast electro-mechanical systems
(machine-tool, high-speed machining, ... regulator of this restated problem in
terms of error signals:
)()()()(
11
tqRtqS
yoptu
εε
−−
−= [12.24]
392 Analysis and Control of Linear Systems
Hence,...
Analysis and Control of Linear Systems - Chapter 13 pptx
...
)(tm
and consequently the rejection of the
412 Analysis and Control of Linear Systems
the zeros of transmission of )(
12
sG and )(
21
sG . In addition, the remaining invariant
zero are non-controllable ... operation environment of the
system.
422 Analysis and Control of Linear Systems
Theorem 13.3 (
2
H REGULATOR AND INTERNAL MODEL).– let us sup...
Analysis and Control of Linear Systems - Chapter 3 pps
...
104 Analysis and Control of Linear Systems
Figure 3.5. Bode diagram of the continuous system and its discretization
3.4.5. The problem of sub-sampling
Let us consider the case of a “standardized” ...
i
n is the
multiplicity order of
i
λ
and i
th
the eigenvalue of A.
5 A canonical form called controllable companion.
88 Analysis and Control of L...
Analysis and Control of Linear Systems - Chapter 6 ppsx
... the condition of detectability by a careful choice of matrix Q.
162 Analysis and Control of Linear Systems
case of multi -control systems. As indicated in Chapter 2, the equations of state can ... at the expense of a stronger control.
176 Analysis and Control of Linear Systems
Figure 6.6. Stabilization by quadratic optimization
166 Analysis a...
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