Novel stability analysis of direct MRAC with redundant inputs

In this paper a novel stability proof for direct Model Reference Adaptive Control is presented. Especially the case of redundant inputs is taken into account in order to consider actuator failures and even change in the control direction. To this end, a weaker assumption than positive definiteness of the control effectiveness matrix is formulated. Furthermore, it is shown that with a special choice of parameter initial values, the parameter set can be reduced avoiding overparameterization. The control law is applied to a hexarotor example and simulation results show the performance.