A New Consideration for Model Reduction Using Bilinear Schwarz Approximation for Discrete-Time Systems

2002 ◽  
Vol 124 (3) ◽  
pp. 475-477 ◽  
Author(s):  
Younseok Choo
Keyword(s):  
Model Reduction ◽  
Impulse Response ◽  
Discrete Time ◽  
Approximation Method ◽  
Original Model ◽  
Reduced Model ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

A bilinear Schwarz approximation method has been proposed in the literature for reducing the order of discrete-time systems. The reduced model derived by the method preserves the stability and first few time-moments of the original one. This paper shows that the method can be modified so that the impulse response energy of the original model is also conserved in the reduced model without destroying the stability and time-moments preserving properties.

Improved Bilinear Routh Approximation Method for Discrete-Time Systems

2000 ◽  
Vol 123 (1) ◽  
pp. 125-127 ◽  
Author(s):  
Younseok Choo
Keyword(s):  
Impulse Response ◽  
Discrete Time ◽  
Approximation Method ◽  
Original Model ◽  
Reduced Model ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

Hwang and Shieh proposed a bilinear Routh approximation method for reducing the order of discrete-time systems. A reduced model derived by the method is not only stable whenever an original model is stable, but also fits the first few time-moments of the original one. This paper addresses the possibility of improving the method by letting the impulse response energy of the original model also be conserved in the reduced model without destroying the stability preserving and time-moments matching properties.

scholarly journals Positive Partial Realization Problem for Linear Discrete-Time Systems

2007 ◽  
Vol 17 (2) ◽  
pp. 165-171 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Impulse Response ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Finite Sequence ◽  
Realization Problem ◽  
Numerical Examples ◽  
Discrete Time Systems ◽  
Time Systems

Positive Partial Realization Problem for Linear Discrete-Time SystemsA partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.

Stability and robustness for discrete-time systems with control signal saturation

2000 ◽  
Vol 214 (1) ◽  
pp. 65-76 ◽  
Author(s):  
A R Plummer ◽  
C S Ling
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Control Signal ◽  
Design Stage ◽  
System Control ◽  
Stability Robustness ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Signal Saturation

All practical control systems exhibit control signal saturation. The effect that this saturation has on the control system performance, especially stability and robustness, can be significant and must be understood at the controller design stage. This paper presents conditions for global asymptotic stability and measures of stability robustness for such systems. These are demonstrated through simulation examples, and it is shown how an understanding of the stability conditions can inform the controller design process. The off-axis circle criterion is used as the basis for a sufficient condition for stability, and it is argued that this is not overly restrictive in practice. The derivations are carried out in discrete time, and servo-system control is envisaged as an important application area for the techniques; however, the results are applicable more widely.

A delay-partitioning approach to the stability analysis of discrete-time systems

Automatica ◽  
2010 ◽  
Vol 46 (3) ◽  
pp. 610-614 ◽  
Author(s):  
Xiangyu Meng ◽  
James Lam ◽  
Baozhu Du ◽  
Huijun Gao
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Delay Partitioning
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