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This study proposes the digital redesign (DR) method for an observer-based output-feedback control in the presence of parametric uncertainties. The term DR is to convert an existing analogue control into an equivalent digital one in the sense of state-matching. The DR problem can be reduced to find the digital gains minimising the norm distance between the closed-loop states of the analogue and digital control. The main feature of the proposed DR is that the state estimation error in the plant dynamics is considered for the state-matching condition. Also, by handling the parametric uncertainties in the concerned system, the robust stability is well guaranteed in the proposed DR procedure. Its constructive conditions are expressed as the linear matrix inequalities A numerical example has been demonstrated to visualise the feasibility of the proposed methodology.
References
-
-
1)
-
J.W. Sunkel ,
L.S. Shieh ,
J.L. Zhang
.
Digital redesign of an optimal momentum management controller for the space station.
J. Guid. Control Dyn.
,
4 ,
712 -
723
-
2)
-
C.-H. Lien
.
Robust observer-based control of systems with state perturbations via LMI approach.
IEEE Trans. Autom. Control
,
8 ,
1365 -
1370
-
3)
-
T. Chen ,
B. Francis
.
(1995)
Optimal sampled-data control systems.
-
4)
-
H.J. Lee ,
J.B. Park ,
G. Chen
.
Robust fuzzy control of nonlinear systems with parametric uncertainties.
IEEE Trans. Fuzzy Syst.
,
2 ,
369 -
379
-
5)
-
Y.H. Joo ,
L.S. Shieh ,
G. Chen
.
Hybrid state-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems.
IEEE Trans. Fuzzy Syst.
,
4 ,
394 -
408
-
6)
-
D. Nešić ,
A. Teel
.
A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models.
IEEE Trans. Autom. Control
,
7 ,
1103 -
1122
-
7)
-
C.E. De Souza ,
X. Li
.
Delay-dependent robust H∞ control of uncertain linear state-delayed systems.
Automatica
,
7 ,
1313 -
1321
-
8)
-
H.J. Lee ,
J.B. Park ,
Y.H. Joo
.
An effecient observer-based sampled-data control: digital redesign approach.
IEEE Trans. Circuits Syst. I
,
12 ,
1595 -
1601
-
9)
-
P.P. Khargonekar ,
I.R. Petersen ,
K. Zhou
.
Robust stabilization of uncertainty linear systems: Quadratic stabilizability and H∞ control theory.
IEEE Trans. Autom. Control.
,
3 ,
356 -
361
-
10)
-
S.M. Guo ,
W. Wang ,
L.S. Shieh
.
Discretization of two degree of freedom controller and system with state input and output delays.
Proc. IEE Control Theory Appl.
,
87 -
96
-
11)
-
B.C. Kuo
.
(1992)
Digital control system.
-
12)
-
Shieh, L.S., Gu, J., Sunkel, J.W.: `Model conversions of uncertain linear systems using the bilinear and inverse-bilinear approximation method', Proc. 36th Midwest Symposium, 1993, 1, p. 514–517.
-
13)
-
L.S. Shieh ,
W.M. Wang ,
J.B. Zheng
.
Digital redesign of H∞ controller via bilinear approximation method for state-delayed systems.
Int. J. Control
,
5 ,
665 -
683
-
14)
-
L. Xie
.
Output feedback H∞ control of systems with parameter uncertainty.
Int. J. Control
,
4 ,
741 -
750
-
15)
-
W. Chang ,
J.B. Park ,
Y.H. Joo ,
G. Chen
.
Design of sampled-data fuzzy-model-based control systems by using intelligent digital redesign.
IEEE Trans. Circuits Syst. I
,
4 ,
509 -
517
-
16)
-
F. Hao ,
T. Chu ,
L. Huang ,
L. Wang
.
Non-fragile controllers of peak gain minimization for uncertain systems via LMI approach.
Dyn. Cont. Discret. Impulsive Syst.
,
681 -
693
-
17)
-
L.S. Shieh ,
W.M. Wang ,
J.B. Zhengl
.
Robust control of sampled-data uncertain systems using digitally redesigned observer-based controller.
Int. J. Control
,
1 ,
43 -
64
-
18)
-
Y. Wang ,
L. Xie ,
C. De Souza
.
Robust control of a class of uncertain nonlinear systems.
Syst. Control Lett.
,
2 ,
139 -
149
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