Abstract
In this paper, we discuss a design of exact model matching systems (EMM) and its application to model reference adaptive control systems (MRACS) and to adaptive finite time settling control systems (AFSC) for linear discrete time systems.
In the EMM design, the mtarix inversion to solve a polynomial equation is not required and the dimension of feedback compensators are kept to be minimum, which makes the design method applicable to MRACS. In the design of MRACS, a projection type parameter identification scheme, called residual projection method (RPM) in this paper, is used, which ensures the parameter convergence in finite steps.
The design method is also applied to AFSC with the RPM, in which the monotonic convergence of the output error is shown.
A numerical example is given to illustrate the effectiveness of the adaptive finite settling control systems.
