Limit-cycle-like control for planar space robot models with initial angular momenta

In this paper, we develop a new control strategy on limit cycles for planar space robot models with initial angular momenta. First, we state our problem formulation, and give some concepts and assumptions. Next, we derive a controller that generates a desired stable limit-cycle-like behavior for general two-dimensional nonlinear control systems, which is called limit-cycle-like control. We then give two kinds of specific forms of the controller and investigate some characteristics of them. After that, we apply the limit-cycle-like control methods to a control problem of a planar space robot model with an initial angular momentum, and some simulations are carried out in order to demonstrate the effectiveness of our new methods.