... gener‐
alized H2 control for discrete- time fuzzy systems with infinite-distributed delays” examined
the generalized H2 control problem for a class of discretetime T-S fuzzy systems with infin‐
ite-distributed ... that
Robust Control Design of Uncertain Discrete- Time Descriptor Systems with Delays
http://dx.doi.org/10.5772/ 51538
35
Robust Control Design of Uncertain Discrete- Time Descriptor Systems with ... discrete- time state feedback mixed QGC/H
∞
control problem reduces to the
discrete- time state feedback mixed LQR/H
∞
control problem. Xu (2011) presented respec‐
Advances in DiscreteTime Systems4
4....
... Filtering for DiscreteTime Uncertain Systems 93
Rodrigo Souto, João Ishihara and Geovany Borges
Discrete- Time Fixed Control 109
Stochastic Optimal Tracking with Preview
for Linear DiscreteTime Markovian ... x
n
q
(j)) (10)
8
Discrete Time Systems
X
Preface
We think that the contribution in the book, which does not have the intention to be
all-embracing, enlarges the fi eld of the Discrete- TimeSystems with ... Gain Analysis of Switched Linear
Discrete- Time Descriptor Systems 337
Guisheng Zhai
Robust Stabilization for a Class of Uncertain
Discrete- time Switched Linear Systems 351
Songlin Chen, Yu Yao...
... Observer design for systems with multivariable monotone
nonlinearities, Systems and Control Letters 50: 319–330.
37
Observers Design for a Class of Lipschitz Discrete- TimeSystems with Time- Delay
From ... ···M
q
(K
q
)
(49)
M
i
(K
i
)=
(H
i
−K
i
C)
T
(H
i
−K
i
C)
T
s
i
times
(50)
30
Discrete Time Systems
DiscreteTimeSystems
44
(1) (1) (2) (2)
FLP
t+Δ
t+Δ t+Δ t+Δ t+Δ
-1
(1) (22) ... (23).
25
Observers Design for a Class of Lipschitz Discrete- TimeSystems with Time- Delay
Distributed Fusion Prediction for Mixed Continuous -Discrete Linear Systems
47
Fig. 2. Velocity MSE comparison...
... matrices
S
t
(j)=
P
t−j,t/t
C
t
T
−δ
0,j
H
t
R
t
C
t
−1
(
j = 0, 1, ···, L − 1
)
, (82)
65
New Smoothers for Discrete- time Linear Stochastic Systems with Unknown Disturbances
DiscreteTimeSystems
52
Chang, K. C.; Tian, Z. & Saha, R. K. ... filter reaches its steady state. In this case, the EC P
is given by (13). Now,
74
Discrete Time Systems
DiscreteTimeSystems
50
This completes the proof of Theorem 2.
Proof of Theorem 3
a., ... vector,
54
Discrete Time Systems
Darouach, M.; Zasadzinski, M. & Keller, J. Y. (1992). State estimation for discretesystems with
unknown inputs using state estimation of singular systems, ...
... as
P
k+1|k
=
P
11,k+1|k
P
12,k+1|k
P
T
12,k
+1|k
P
22,k+1|k
, (50)
101
Kalman Filtering for DiscreteTime Uncertain Systems
Kalman Filtering for DiscreteTime Uncertain Systems 15
above its error variance prediction, i.e., the ... concentration of a given medicine in his patient.
Kalman Filtering for Discrete
Time Uncertain Systems
6
12 DiscreteTime Systems
Using (74), we can simplify the expressions for Φ
∗
k
, K
∗
k
and ... E
e
(j)
i,k
2
, (81)
E
e
(j)
i,k
≈
1
N
N
∑
j=1
e
(j)
i,k
, (82)
104
Discrete Time Systems
Kalman Filtering for DiscreteTime Uncertain Systems 13
Step 0 (Initial conditions):
x
0|−1
= x
0
and P
0|−1
=...
... Tracking with Preview for Linear DiscreteTime Markovian Jump Systems
129
O. L. V. Costa.; M. D. Fragoso. & R. P. Marques. (2005). Discrete- Time Markov Jump Linear
Systems,
Springer, 1-85233-761-3, ... output regulation for discrete- time switched
and Markovian jump linear systems,
SIAM J. Control Optim., 47, 1, 40-72
M. Mariton. (1990).
Jump Linear Systems in Automatic Control, Marcel Dekker, ... the design of the model following
control system for a nonlinear descriptor system in discrete time, if the following conditions
are held:
DiscreteTimeSystems
122
Then we introduce the...
... Feedback Control of Discrete- time LTI Systems: Scaling LMI Approaches
Discrete Time Mixed LQR/H
∞
Control Problems
163
If A is invertible, the stabilizing solution to the discerete time Riccati ... 1.
155
Output Feedback Control of Discrete- time LTI Systems: Scaling LMI Approaches
DiscreteTimeSystems
140
Fig. 1. Responses of the system for nonlinear descriptor system in discretetime
7. References ... large-scale
systems, IEEE Trans. on Automatic Control 49(11): 2040–2044.
158
Discrete TimeSystems
Discrete Time Mixed LQR/H
∞
Control Problems
167
In this case, the state feedback mixed LQR/ H
∞
controller...
... to
delay-dependent H
∞
control of discrete- timesystems with time- varying delay,
International Journal of Robust and Nonlinear Control, Vol.18, 630-647.
194
Discrete Time Systems
a Lyapunov function ... numerical solution of the discrete –
time algebraic Riccati equation. IEEE Trans. Aut. Control, 25(4), pp. 631-641.
P. L. D. Peres and Geromel J. C. (1993).
2
H control for discrete- timesystems ... design of discrete- timesystems with time- varying delays have appeared in the
literature(for example, (9)). The results in (3), (12), (14), (18) considered discrete- time systems
with time- invariant...
... nonlinear mimo time- delay
systems, Automatica 43(1): 31–43.
226
Discrete Time Systems
Xu, J X. & Huang, D. (2009). Discrete- time adaptive control for a class of nonlinear systems
with periodic ... −1)]
T
(74)
220
Discrete Time Systems
DiscreteTimeSystems
204
H. Wang, J. Lam, S. Xu, et al. Robust H
∞
reliable control for a class of uncertain neutral delay
systems, International Journal of Systems ... discrete- timesystems with unknown control directions, Systems &
Control Letters 57(11): 888–895.
Goodwin, G. C., Ramadge, P. J. & Caines, P. E. (1980). Discrete- time multivariable adaptive
control, ...
... continuous time dynamics
of the system into a discrete- time model. The ODEs in (1)-(2) can be described in a compact
form by
˙v
= M
−1
p[η,v]+ M
−1
τ (10)
˙η
= q[η,v], (11)
258
Discrete Time Systems
5.6 ... consensus problems
for discrete- time multi-agent systems with switching topology and time- varying delays have
been presented by using matrix theories. In Moreau (2005), a discrete- time network model
of ... Stability of leaderless discrete- time multi-agent systems,
Mathematics of Control, Signals, and Systems 18(4): 293–322.
Aström, K. & Wittenmark, B. (1989). Adaptive Control, Addison-Wesley...
...
The control of discretesystems with time- varying delays has been researched extensively in
the last few decades. Especially in recent years there are increasing interests in discrete- time
systems ...
stability have been developed for linear discrete- timesystems with time varying delay in the
state. In these papers above the time- varying delay of discretesystems is assumed to be
unique in state ... to Discrete- Time Adaptive ControlSystems with Perturbed Measures for
Complex Dynamics - Case Study: Unmanned Underwater Vehicles
Stability Criterion and Stabilization of
Linear Discrete- time...
... the time response of this system at
304
Discrete Time Systems
DiscreteTimeSystems
292
Therefore, a memoryless state-feedback gain is given by
1
1
[2.0 3.0]KFX
−
==
.
The closed-loop discrete- time ... output feedback guaranteed cost
control for uncertain time- delay systems, Automatica, vol. 40, pp. 1263-1268
Boukas, E. K., Discrete- timesystems with time- varying time delay: Stability and
Stabilizability, ... yields
ˆ
x
k+1
=
ˆ
A
(α)
ˆ
x
k
+
ˆ
A
d
(α)
ˆ
x
k−d
k
+
ˆ
B
(α)u
k
, (83)
314
Discrete Time Systems
DiscreteTimeSystems
290
Theorem 2:
For a given set of upper and lower bounds
,
ii
dd
for corresponding time- varying
delays
ki
d ,...
...
Hence, the grey discretetime system (1) is asymptotically stable by Lemma 2.1.
3. Grey discretetimesystems with time- delay
Considering the grey discretetime system with a time- delay as follows: ... N⎡⎤
+
+=<
⎣⎦
DiscreteTimeSystems
328
to be checked numerically and generalize the systems with uncertainties for the stability of
grey discretetimesystems with time- delay. Examples ... linear uncertain systems: a numerical
comparison, Proceedings of the 41st I EEE Conference on Decision and Control, LasVegas,
pp. 644–649.
324
Discrete Time Systems
DiscreteTimeSystems
334...