Model Predictive-based PID Controller Design and Order Reduction of Higher Order System

This paper demonstrates the implementation of controllers that use control strategies like Proportional-Integral-Derivative (PID) and Model Predictive Control (MPC) for reducing the higher-order systems. Based on the Routh stability criterion, a model reduction technique is presented. The elements in the high-order denominator and numerator's Routh stability arrays are directly used to calculate the reduced order transfer function. This paper introduces a method for discovering MPC-based PID controllers for complex dynamic systems (higher-order systems). Higher-order systems significantly hamper controller design because of their complex dynamics and higher degree of differential equations. It is used to optimize a controller to match the required performance criteria. Here, the second-order system is initially tested, and then the higher-order system is assessed by the proposed PID controller. A general MPC-based second-order system is defined and compared with the observed closed-loop response for the stabilization process. Simulation results conducted on various higher-order systems consistently show that the MPC-based PID controller outperforms conventional tuning methods in terms of stability, response time, and overall performance. The findings underline the method’s efficiency in achieving optimal control of higher-order systems while maintaining computational simplicity. Indexing