Constrained minimum-time-oriented feedback control for the stabilization of nonholonomic systems in chained form

A discontinuous state-feedback law is proposed for the stabilization of nonholonomic systems in power form. The feedback law is based on receding-horizon strategy in which the open-loop optimization problem is a minimum-time steering one. Sub-optimal formulations are explicitly used to meet real-time implementability requirements. Stability is established in a sampled-data context and illustrative simulations are given to show the effectiveness and the real-time implementability of the proposed scheme.