Quadratic Stability methodology by parameter dependent state feedback for LPV systems

摘要

This paper presents an alternative methodology to solve the quadratic stabilization problem via parameter dependent state feedback. Sufficient conditions for Quadratic Stability by parameter dependent state feedback are given, the LPV control law is gotten by a parameter dependent interpolation of LTI controllers (one for each vertex) solving the regulation problem. This technique is proved using an upper bound of the parameter dependent Lyapunov function of the system. The results are illustrated by a simulation example of a two-cart system.