Model-based fuzzy control application to a self-balancing two-wheeled inverted pendulum

This paper presents a fuzzy parallel distributed compensation (PDC) control design for balancing a two-wheeled inverted pendulum (TWIP). A Takagi-Sugeno (T-S) fuzzy model can be firstly constructed from the nonlinear system model of the TWIP. Based on the T-S fuzzy model, a PDC controller is designed with the aid of linear matrix inequality (LMI) concept. The stability of the fuzzy balance control can be guaranteed by solving the inequalities of LMI. Finally, one simulation and its equivalent experiment are given to demonstrate the effectiveness and feasibility of the control scheme.