Feedback Linearization Control of the Inertia Wheel Pendulum

Feedback Linearization Control of the Inertia Wheel Pendulum

In this paper, two feedback linearizing control laws for the stabilization of the Inertia Wheel Pendulum are derived: a full-state linearizing controller, generalizing the existing results in literature, with friction ignored in the description and an inputoutput linearizing control law, based on a physically motivated definition of the system output. Experiments are carried out on a laboratory...

Nonlinear Control of the Inertia Wheel Pendulum

Feedback linearization of the shimmying wheel

The classical shimmying wheel is the simplest mechanical model to describe vibration problems in the rolling dynamics of aircraft nose gears, motorcycles , automotive systems and tractor-trailer systems. Such systems can exhibit undesirable unstable rolling motion which can often lead to disastrous results. The classical shimmy model includes a rigid wheel towed by a horizontal caster attached ...

Exponential Stabilization of the Inertia Wheel Pendulum Using Dynamic Surface Control

This paper considers the stabilization problem of Inertia Wheel Pendulum, a widely studied benchmark nonlinear system. It is a classical example of a flat underactuated mechanical system, for which the design of control law becomes a challenging task owing to its underactuated nature. A novel nonlinear controller design, fusing the recently introduced Dynamic Surface Control and the Control Lya...

Control of the Underactuated Inertia Wheel Inverted Pendulum for Stable Limit Cycle Generation

This paper deals with a control approach dedicated to stable limit cycle generation for underactuated mechanical systems. The proposed approach is based on partial nonlinear feedback linearization and dynamic control for optimal periodic reference trajectories tracking. The computation of the reference trajectories is performed in order to optimize the behavior of the whole dynamics of the syst...