A polytopic approach to design H<inf>∞</inf> controllers for networked LPV control systems

Abstract

The problem addressed in this paper is a Networked Control System (NCS) design for linear parameter varying (LPV) systems, considering that the input signal is subject to delays, which are inherent to NCS. This paper proposes the use of a robust stabilization method using a synthesis technique proposed in literature, which relies on the resolution of a set of Linear Matrix Inequalities (LMI) conditions. The considered LMIs are designed based on the concept of H ∞ norm and small gain theorem. The LMI problem is solved in a polytopical way in this paper, considering that variables are polynomially dependent of parameters, being the polynomials of arbitrary degree. The effectiveness of the technique is illustrated by a numerical experiment.