A chattering control based algorithm for nonlinear optimal control problems with control-constraints

Based on the concept of chattering controls, originally given by Gamkrelidze (1965), we propose a new algorithm for nonlinear optimal control problems with constraints on control. Note that these problems include optimal control problems using quantized controls. We prove that accumulation points generated by the proposed algorithms, if they exist, satisfy the maximum principle. Moreover, we demonstrate the implementability of the algorithm by simulation experiments