Higher-order model-free adaptive control for a class of discrete-time SISO nonlinear systems

A higher-order model-free adaptive control scheme is proposed for a class of discrete-time SISO nonlinear systems. The control scheme consists of the adaptive control law, parameter estimation law and reset mechanism. The controller design depends merely on the input and the output measurement data of the controlled plant. The proposed scheme can improve the control performance by using more error information derived from previous sampling time instants. The theoretical analysis shows that the proposed control scheme can guarantee the bounded input and bounded output (BIBO) stability. The simulation results further verify the effectiveness of the proposed control scheme.