© The Institution of Engineering and Technology
In this study the authors, we investigate the problem of designing quantised ℋ∞ feedback control for a class of discrete-time systems with and without bounded uncertainties. The quantiser has arbitrary form. A linear matrix inequality-based method using static and dynamic quantised output-feedback controller are designed to render the closed-loop system asymptotically stable with guaranteed γ-level. The authors illustrate the theoretical developments by numerical simulations.
References
-
-
1)
-
B.C. Zheng ,
G.H. Yang
.
Quantized feedback stabilization of planar systems via switching-based sliding-mode control.
IET Control Theory Appl.
,
1 ,
149 -
156
-
2)
-
F. Fagnani ,
S. Zampieri
.
Stability analysis and synthesis for scalar linear systems with a quantized feedback.
IEEE Trans. Autom. Control
,
9 ,
1569 -
1584
-
3)
-
S. Boyd ,
L.E. Ghaoui ,
E. Feron ,
V. Balakrishnan
.
(1994)
Linear matrix inequalities in system and control theory.
-
4)
-
D. Liberzon
.
Hybrid feedback stabilization of systems with quantized signals.
Automatica
,
9 ,
1543 -
1554
-
5)
-
X. Luan ,
P. Shi ,
F. Liu
.
Stabilization of networked control systems with random delays.
IEEE Trans. Ind. Electron.
,
9 ,
4323 -
4330
-
6)
-
M.S. Mahmoud ,
A.Y. Al-Rayyah ,
Y. Xia
.
Quantized feedback stabilization of interconnected continuous time-delay systems.
IMA J. Math. Control Inf.
,
1 ,
1 -
17
-
7)
-
J. Yan ,
Y. Xia ,
B. Liu ,
M. Fu
.
Stabilization of quantized linear systems with packet dropouts.
IET Control Theory Appl.
,
8 ,
982 -
989
-
8)
-
M.S. Mahmoud
.
Improved networked-control systems approach with communication constraint.
IMA J. Math. Control Inf.
,
2 ,
215 -
233
-
9)
-
M. Fu ,
L. Xie
.
The sector bound approach to quantized feedback control.
IEEE Trans. Autom. Control.
,
11 ,
1698 -
1711
-
10)
-
R.W. Brockett ,
D. Liberzon
.
Quantized feedback stabilization of linear systems.
IEEE Trans. Autom. Control.
,
7 ,
1279 -
1289
-
11)
-
H. Li ,
H. Gao ,
H. Liu
.
Robust quantized control for active suspension systems.
IET Control Theory Appl.
,
17 ,
1955 -
1969
-
12)
-
M.S. Mahmoud
.
(2011)
Decentralized control with design constraints.
-
13)
-
M.S. Mahmoud
.
(2004)
Resilient control of uncertain dynamical systems.
-
14)
-
M.L. Corradini ,
G. Orlando
.
Robust quantized feedback stabilization of linear systems.
Automatica
,
9 ,
2458 -
2462
-
15)
-
M.S. Mahmoud ,
A.Y. Al-Rayyah ,
Y. Xia
.
Quantized feedback stabilization of interconnected discrete time-delay systems.
IET Control Theory Appl.
,
6 ,
795 -
802
-
16)
-
M. Fu ,
C.E. deSouza
.
State estimation for linear discrete-time systems using quantized measurements.
Automatica
,
11 ,
2611 -
2619
-
17)
-
B. Xue ,
N. Li ,
S. Li ,
Q. Zhu
.
Robust model predictive control for networked control systems with quantization.
IET Control Theory Appl.
,
12 ,
2896 -
2906
-
18)
-
B. Francesco ,
D. Liberzon
.
Quantized control via locational optimization.
IEEE Trans. Autom. Control
,
2 -
13
-
19)
-
E.P. Gatzke ,
E.S. Meadows ,
C. Wang ,
I.I.I.F.J. Doyle
.
Model-based control of a four-tank system.
Comput. Chem. Eng.
,
1503 -
1509
-
20)
-
J. Zhang ,
J. Lam ,
Y. Xia
.
Observer-based output feedback control for discrete systems with quantized inputs.
IET Control Theory Appl.
,
3 ,
478 -
485
-
21)
-
H. Ishii ,
B.A. Francis
.
Quadratic stabilization of sampled-data systems with quantization.
Automatica
,
1793 -
1800
-
22)
-
F. Rasool ,
S.K. Nguang
.
Quantized robust ℋ∞ output feedback control of discrete-time systems with random communication delays.
IET Control Theory Appl.
,
11 ,
2252 -
2262
-
23)
-
E. Fridman ,
M. Dambrine
.
Control under quantisation, saturation and delay: An LMI approach.
Automatica
,
2258 -
2264
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2012.0206
Related content
content/journals/10.1049/iet-cta.2012.0206
pub_keyword,iet_inspecKeyword,pub_concept
6
6