Predictive Control for Multi-Input Multi-Output (MIMO) Systems

This article presents a MATLAB simulation of predictive control for Multi-Input Multi-Output (MIMO) systems. Predictive control is a controller design methodology that computes control inputs by predicting future system output behavior. Unlike conventional feedback control methods, predictive control calculates control inputs over multiple time steps, making it particularly effective for handling multivariable control problems. MIMO systems involve multiple input and output signals, necessitating specialized MIMO predictive control approaches for controller design. The simulation utilizes MATLAB's Control System Toolbox and Model Predictive Control Toolbox, implementing key algorithms such as receding horizon optimization and constraint handling. The article demonstrates MIMO predictive control performance through code examples showing system modeling, prediction horizon configuration, and quadratic programming optimization for control sequence calculation. Practical implementation aspects include weight tuning for output tracking and input suppression, along with stability analysis techniques. The simulation results showcase the method's effectiveness and explore its potential applications in real-world scenarios.