A New Adaptive Controller for Linear Systems: A Model Reference Approach

In this paper, a finite-time model reference adaptive controller is proposed to solve the tracking problem for a class of linear time-invariant systems with parameter uncertainties. The convergence to zero in a finite time for the tracking and parameter identification errors is ensured. The convergence proofs are developed based on Lyapunov function approach. Finally, some simulation results show the feasibility of the proposed approach.