A pseudo-H∞ output feedback control theory and its application to pendulum-like systems

This paper studies pseudo H
_∞
output feedback control theory and its applications to the control of pendulum-like systems. A pseudo H
_∞
output feedback control theory is developed and a sufficient condition for controller synthesis is given. This theory is applied to solve the output feedback controller design problem for the pendulum-like systems. A numerical example and simulations are given to illustrate the efficiency of the method.