Improved robust model predictive control with structural uncertainty

Abstract

In this paper, a dilation of the LMI characterization is presented to address constrained robust model predictive control (MPC) for a class of uncertain linear systems with structured time-varying uncertainties. The uncertainty is described in linear fractional transformation (LFT) form. It is known such uncertain systems are popularly used in nonlinear system modeling and many other circumstances. By using parameter dependent Lyapunov functions, the designing conservativeness is reduced compared with some well-known MPC approaches. The proposed approach is applied to a two-mass-spring benchmark system to demonstrate the merits. © 2006 IEEE.