A novel periodicity-based adaptive control discrete-time nonlinear systems

In real applications, there exist a class of systems in which the nonlinear uncertainties can be parameterized with some periodic parameters. For such nonlinear periodic plants, a new periodicity-based discrete-time adaptive control is proposed in this paper. The proposed approach updates the unknown parameters periodically with a project algorithm. Rigorous analysis guarantees the error convergence of the designed method. Some simulative results further demonstrate the feasibility of the developed approach.