Nonlinear Optimal Control Design for Underactuated Two-Wheeled Inverted Pendulum Mobile Platform

Abstract

In terms of the state-dependent Riccati equation (SDRE) control framework, a nonlinear motion control is investigated for the two-wheeled inverted pendulum (TWIP) mobile robot platform. As a critical design issue, the state dependent coefficient matrix is established based on the sound understanding of dynamic characteristics of the TWIP robot. The developed SDRE control solution has the merit of robust posture stabilization when the inverted pendulum robot experiences strong nonlinear behaviors due to abrupt external disturbances.