Design of Decoupling Controllers for Multi-Input Multi-Output Systems

Abstract

This paper studies control schemes for Multi-Input Multi-Output (MIMO) systems, with a focus on regulating water level and temperature in a mixing tank. Falb-Wolovich Decoupling Feedback Control and Iterative Learning Control are deployed on the given plant. The Falb-Wolovich approach effectively eliminates interactions between input and output channels, ensuring system stability with minimal deviation. Meanwhile, Iterative Learning Control allows the system to self-regulate, improving performance over multiple cycles without requiring an exact system model.

Simulation results demonstrate that both schemes stabilize the system effectively. However, Iterative Learning Control provides a faster response time but increasing the overshoot. Compared to traditional methods such as PID or Fuzzy Control, these approaches ensure the system stability in highly interactive MIMO systems. Additionally, the paper also provides a detailed performance analysis of each method, offering recommendations for selecting the most suitable approach in practical applications.