State-switching control of the second-order chained form system

Abstract: This paper addresses a motion planning problem of the second-order chained form system. The author presents a novel control approach based on switching a state. The second-order chained form system is composed of three subsystems including two double integrators and a nonlinear system. Switching a single state of the double integrators can modify the nature of the nonlinear system. Such state-switching and sinusoidal control construct the basis of the proposed control approach. The effectiveness is validated by a simulation result.