Abstract
A model following control system (MFCS) can give general output signals following the desired ones. Since MFCS permits general signals as desired ones, its range of application is very wide. In previous studies, a method of nonlinear MFCS for continuous-time system was proposed by S. Okubo. In this paper, the method of nonlinear MFCS will be extended to discrete time nonlinear systems. Nonlinear systems which are dealt with in this paper have the property of norm constraint, _??_f(v(k))_??_ ≤ α+β_??_v(k)_??_γ, where α≥0, β≥0, 0≤γ≤1. When 0≤γ and γ<1, it is easy to extend the method to discrete time systems. But in the case γ=1 discrete time systems, the proof becomes difficult because the transfer function from f(v(k)) to v(k) can't be a positive real function. In this case, to ensure that internal states are stable, a new criterion is proposed.
