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.

Publication
In American Control Conference (ACC), IEEE.
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