Stability analysis of exact model matching control for finite Volterra series systems

This paper is concerned with exact model matching control (EMM) for finite Volterra series systems and analyses stability of the systems. First, the authors show a structure of a causal controller which can achieve the exact model matching to a reference model. Next, in order to discuss the stability of the proposed control system, the authors give an input dependent small gain theorem. Finally, the authors clarify the condition under which the control system is stable for the reference input magnitude within a certain range, and is also robust for small disturbances.