@inproceedings{8ad46c2ca1914015b4dd2cfc512e8b2c,
title = "On the stability of predictive controllers for linear systems with variable time delays",
abstract = "In this article, a method for computing a control law for discrete linear systems with variable time delays using predictive tools and stability conditions is presented. The system is written as a switched system. A state feedback is then computed for each mode using predictive control. It is shown that a nonlinear optimization problem can be formulated in order to obtain a control law which gives the best approximation of the state feedback control previously computed for each mode. This formulation ensures stability since stabilization conditions are also included through a common Lyapunov function. The optimization problem is then transformed to a problem with Bilinear Matrix Inequalities (BMI) constraints whose solution can be easily computed. Several examples show the feasibility and the efficiency of the approach.",
keywords = "Common Lyapunov Function, Model Predictive Control, Switched system",
author = "Andres Ladino and Diego Patino",
year = "2013",
doi = "10.1109/acc.2013.6580333",
language = "English",
isbn = "9781479901777",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "3254--3259",
booktitle = "2013 American Control Conference, ACC 2013",
address = "United States",
note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",
}