Robust Lagrange stabilization of uncertain pendulum-like systems based on nonlocal reduction method

The robust Lagrange stabilization problem is considered as a class of uncertain nonlinear systems with infinite equilibria set, called pendulum-like systems. Firstly, sufficient conditions of Lagrange stability for nominal unperturbed pendulum-like systems are derived based on the nonlocal reduction method. Then the static state feedback controller design methods are presented for uncertain pendulum-like systems with time-varying norm-bounded parameter uncertainty to obtain robust Lagrange stability. It is shown that the above problem can be reduced to the existence of the solutions to a set of LMIs.EI03358-3654