Output Feedback Lagrange Stabilization for Pendulum-like Systems with Multiple Nonlinearities

This paper addresses an output feedback Lagrange stabilization problem for pendulumlike systems with multiple nonlinearities. A method based on output feedback pseudo H∞ control is developed to solve the output feedback Lagrange stabilization problem. This method is based on a new Lagrange stability criterion which does not require the linear part of the pendulum-like system to be minimal. To illustrate the efficacy of the proposed method, an example involving coupled pendulums is considered which can be regarded as a prototype of many practical interconnected oscillating systems.