A falsification perspective on model reference adaptive control

In this paper we solve the model reference adaptive control (MRAC) problem through the use of the unfalsified control paradigm. Besides satisfying the MRAC global stability requirements, namely perfect tracking is achieved in finite time. We first solve the problem with the standard four MRAC hypotheses. Afterwards, only the strictly proper LTI minimum phase restriction is kept and a general solution is obtained. This solution is an example of direct switching control approach which does not require a search over a dense space of controllers or even over a finite set of controllers