Dynamic singularities in nonlinear control of underactuated pendulum-like models

The paper presents an analysis of dynamic singularities in n-link pendulum-like models that are controlled using input-output feedback linearisation. The dynamic singularities are caused by the decoupling matrix being singular for particular configurations. The examples include 3-link planar pendulum, 3-link 3D pendulum and a simplified humanoid-like robot model. Partial stabilisation results are presented for specific physical parameters.