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

Anurag Singh, Shekhar Yadav, Sandesh Patel

Abstract


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.

Keywords


Higher Order Systems; Model Order Reduction; Routh Stability Criterion; PID Controller; Model Predictive Control

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References


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