© The Institution of Engineering and Technology
A new model reduction method, based on frequency fitting, is proposed for single-input discrete-time singular (non-causal) systems. The reduced-order models are obtained by minimising the least square frequency response error between the original system and the reduced-order model. Finally, the method is illustrated by a numerical example and is compared with other related techniques.
References
-
-
1)
-
L.Q. Zhang ,
J. Lam ,
Q.L. Zhang
.
Optimal model reduction of discrete-time descriptor systems.
Int. J. Syst. Sci.
,
5 ,
575 -
583
-
2)
-
C. Sun ,
J. Hahn
.
Reduction of stable differential-algebraic equation systems via projections and system identification.
J. Process Control
,
639 -
650
-
3)
-
S. Sunder ,
R.P. Ramachandran
.
A unified and efficient least-squares design of linear phase nonrecursive filters.
Signal Process.
,
41 -
53
-
4)
-
W.Q. Liu ,
V. Sreeram
.
Model reduction of singular systems.
Int. J. Syst. Sci.
,
10 ,
1205 -
1215
-
5)
-
S. Xu ,
J. Lam
.
H∞ model reduction for discrete-time singular systems.
Syst. Control Lett.
,
121 -
133
-
6)
-
F.L. Lewis ,
M.A. Christodoulou ,
B.G. Mertzios ,
K. Ozcaldiran
.
Chained aggregation of singular system.
IEEE Trans. Autom. Control
,
9 ,
1007 -
1012
-
7)
-
J. Wang ,
W.Q. Liu ,
Q.L. Zhang
.
Model reduction for singular systems via covariance approximation.
Opt. Control Appl. Methods
,
6 ,
263 -
278
-
8)
-
S. Gugercin ,
A.C. Antoulas
.
Model reduction of large-scale systems by least squares.
Linear Algeb. Appl.
,
290 -
321
-
9)
-
J. Wang ,
Q.L. Zhang ,
Q.W. Liu
.
ℋ∞ Suboptimal Model Reduction for Singular Systems.
Int. J. Control
,
11 ,
992 -
1000
-
10)
-
Zhang, Q.L., Sreeram, V., Wang, G., Liu, W.Q.: `ℋ', Proc. Am. Control Conf., 2002, p. 1168–1173.
-
11)
-
K. Perev ,
B. Shafai
.
Balanced realisation and model reduction of singular systems.
Int. J. Syst. Sci.
,
6 ,
1039 -
1052
-
12)
-
S. Xu ,
J. Lam ,
W.Q. Liu ,
Q.L. Zhang
.
ℋ∞ Model reduction for continuous time singular systems.
IEE Proc.
,
6 ,
637 -
641
-
13)
-
M. Jamshidi
.
(1983)
Large scale systems: modeling and Control.
-
14)
-
H. Löffler ,
W. Marquardt
.
Order reduction of non-linear differential algebraic process models.
J. Process Control
,
32 -
40
-
15)
-
S. Sunder ,
R.P. Ramachandran
.
Design of nonrecursive filters satisfying arbitrary magnitude and phase specifications using a least-squares approach.
IEEE Trans. Circuits Syst. - II
,
11 ,
711 -
716
-
16)
-
Mohammad, A.A.: `Modeling issues and the Lyapunov equations in dynamical control systems', 1992, PhD, The University of Akron.
-
17)
-
L. Petzold ,
L. Jay ,
J. Yen
.
Numerical solution of highly oscillatory ordinary differential equations.
Acta Numerica
,
437 -
484
-
18)
-
L. Dai
.
(1989)
Singular control systems.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta_20050406
Related content
content/journals/10.1049/iet-cta_20050406
pub_keyword,iet_inspecKeyword,pub_concept
6
6