Abstract
In this paper, we consider a design method of the filtered inverse system for time-invariant system, which produces the input signal to the system approximately. The inverse system must be stable in practical application. It is well known that the inverse system is unstable if the system has invariant zeros in right half plane. In conventional design method of filtered inverse system for the system with some right half plane invariant zeros, we factorize the system into the product of the inner and outer function, and constract the filtered inverse for the outer function of the system. If the system is strictly proper, we must solve the generalized Riccati equation based on the descriptor form. This requires complex numerical computation.
The purpose of this paper is to present a new state-space design method of stable filtered inverse system for the strictly proper system with some right half plane invariant zeros without solving the generalized Riccati equation. We constract the preliminary filtered-inverse system by usual method and derive a pseudo proper plant from it. Then the problem is reduced to the problem for proper system. This method makes the computation very simple.
