HU, X-B. and CHEN, Wen-Hua., 2004. Model predictive control for constrained systems with uncertain state-delays. International Journal of Robust and Nonlinear Control. 14, (17), pp.1421-1432. [DOI: 10.1002/rnc.963]
This paper presents a Model Predictive Control (MPC) algorithm for a class of
constrained linear systems with uncertain state-delays. Based on a novel artificial Lyapunov
function, a new stabilizing condition dependent of the upper bound of uncertain state-delays is
presented in an LMI (Linear Matrix Inequality) form. The proposed MPC algorithm is
developed by following the fashion of stability-enforced scheme. The new algorithm is then
extended to linear time-varying (LTV) systems with multiple uncertain state-delays.
Numerical examples illustrate the effectiveness of the new algorithm.