Stability Analysis of Indirect Binary Model Reference Adaptive Controller for Plants with Relative Degree One

This paper presents the Lyapunov-based stability analysis of the Indirect Binary Model Reference Adaptive Controller (IB-MRAC) for relative-degree-one systems. The motivation for indirect adaptive control approaches relies on their capabilities of providing an easier and more intuitive controller design. IB-MRAC is a mixed controller, acting as an Indirect MRAC or as an Indirect Variable Structure MRAC depending on a design parameter. The main result herein described states that the overall system error tends exponentially fast to some small residual set.