Abstract

This papaer investigates the model matching problem for nonlinear multi-input/output systems. The model matching problem (M.M.P.) is in general to fit the external description (for example, the transfer function in linear systems) of a system to that of a model system with desired properties by state feedback, dynamic compensator, etc. Several studies on M.M.P. have been done for linear systems. However, there has been no discussion about M.M.P. for nonlinear systems. The difficulty in the nonlinear case is that there is no simple external description. So in this paper M.M.P. is defined as fitting the output of a system to that of a model system for the same input. First, zeroing the output for any disturbance inputs is discussed by use of the output zero condition. Next, sufficient condition for achieving the model matcing by state feedback with the above definition of H.M.P. is derived. Finally, the approximate calculation method of the state feedback for M.M. P. is given for a special case. In the process of this calculation the existence of the feedback is verified.

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