Abstract
Linear system reduction is very important for both theory and practice. And the Routh approximation is a better reduction method in the frequency domain. But the necessary condition for deriving the good (n-l) th-order reduced model from an nth-order system, which is the last impulse response energy element must be small enough, severely limits the use of the Routh method. The reduction method based on the impulse energy criterion improved the limitation, however, in practice, it is shown that the method could not offer good approximations in some cases. In this paper the condition for failure of the method is discussed in detail and the improved method is presented. Two numerical examples are given and show the new method is more effective.
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