Abstract

In this article, we address a model predictive control problem for constrained linear systems in the presence of l2 disturbances. In the proposed control method, the feedback gain and the controller state are updated online so that the l2 gain of the system is minimized. The problem of determining the feedback gain and the controller state is formulated as a convex optimization problem with linear matrix inequality constraints. We show that both feasibility of the control algorithm and the dissipation inequality are guaranteed for all times. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

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