DESIGN METHOD OF EXACT MODEL-MATCHING CONTROL FOR FINITE VOLTERRA SERIES SYSTEMS

This paper is concerned with exact model matching control (EMM) for fi nite Volterra series systems. First, we show a structure of a causal c ontroller which can achieve the exact model matching to a reference mo del and clarify the relationship between the proposed method and the E MM for linear systems. Second, to analyse the stability of the propose d control system, we present an input dependent small gain theorem for the system with an external input, then extend it for the system with two external inputs. With the help of this theorem, we clarify the co ndition under which the control system is stable for the reference inp ut magnitude within a certain range, and is also robust for small dist urbances. Finally, the effectiveness of the proposed method is illusta ted through numerical simulations.