Closure to “Discussions of ‘A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems’” (1962, ASME J. Eng. Ind., 84, pp. 421–422)

1962 ◽  
Vol 84 (4) ◽  
pp. 422-422
Author(s):  
S. E. Staffeld
Keyword(s):  
Mathematical Models ◽  
Dynamic Systems ◽  
Degrees Of Freedom ◽  
Linear Dynamic Systems ◽  
Linear Dynamic

Minimum-Order Mathematical Models of Discrete Linear Dynamic Systems

1972 ◽  
Vol 94 (2) ◽  
pp. 139-146 ◽  
Author(s):  
A. G. Behring ◽  
V. J. Flanigan
Keyword(s):  
Mathematical Models ◽  
Discrete Time ◽  
Dynamic Systems ◽  
Input Output ◽  
Output Data ◽  
Minimum Order ◽  
Linear Dynamic Systems ◽  
Linear Dynamic ◽  
Common Problems ◽  
Time Invariant

An orthonormal filter is used to obtain minimum-order, mathematical models of linear, multivariable, discrete, time-invariant systems from input/output data. Some common problems associated with obtaining such descriptions are considered, including the problem of noise-corrupted observations.

A Method for Reducing the Number of Degrees of Freedom in Mathematical Models of Damped Linear Dynamic Systems

1962 ◽  
Vol 84 (4) ◽  
pp. 418-421 ◽  
Author(s):  
S. E. Staffeld
Keyword(s):  
Dynamic Systems ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Original System ◽  
Linear Dynamic Systems ◽  
Linear Dynamic ◽  
Limited Frequency ◽  
Damped Systems ◽  
Complex Coefficients ◽  
Better Than

A method is given for systematically operating on the equations of motion of a linear dynamic system to produce the equations of a new system of many fewer degrees of freedom. This reduced system has a multiterminal response as close as desired to the original system in a limited frequency range. The result will always be better than that obtained with the normal mode approach and application to damped systems does not result in complex coefficients.

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