In the control theory, a system has one or more input and output signals. With the development of control theory, a modern control system is carried out in the state space, and can process multi-input and multi-output (MIMO) systems. According to the complexity of a control system, a control system may have been described by a high order differential equation or transfer function, thus control system analysis and design becomes more difficult. Therefore a study to obtain a low order model with

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... he dynamic characteristics similar to a high order system is very meaningful. In this paper, an approximation algorithm for multivariable system based on the generalized block pulse transform is presented. To solve the functional differential equation and transfer function, the generalized block pulse function is used. The algorithm adopted in this paper has shown that computational results are more accurate and convenient rather than conventional block pulse transform.