Nida Nur Afifah

Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Gadjah Mada, Indonesia

Solikhatun

Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Gadjah Mada, Indonesia

DOI: https://doi.org/10.19184/jid.v24i2.36657

ABSTRACT 

In this paper, we discuss the design of robust model predictive control for linear interconnected systems by several constraints. The linear interconnected system is a complex system that consists of several subsystems and the subsystem dynamic is influenced by the states or outputs of the other subsystems. The systems are controlled by formulating and applying the model predictive control on each subsystem. We formulate the optimization problem that minimizes the cost function for each subsystem. The optimization problem is solved by the gradient method to get the minimum cost function. Numerical simulation was conducted to show the effectiveness and performance of robust model predictive control. Based on the results of the numerical simulation and test of the robustness, it can be shown that the robust model predictive control is effective to control the linear interconnected systems.

Keywords: Complex systems, model predictive control (MPC), robustness, cost function, gradient.