Table 1 Comparison of PI controller and model reference adaptive controller.

From: A model reference based adaptive controller for power flow management in microgrid systems

Aspects

PI controller

Model reference adaptive controller (MRAC)

Approach

Stability boundary locus approach; feedback control loop that calculates an error signal by taking the difference between the output of a system22

Optimal control strategy that constantly controls parameters to optimize the results in real time27

Error

Improves the response of the control system by reducing the steady-state error22

If model matching conditions are met, then error will be equal to zero, minimizing the error obtained29

Implementation

Output is proportional to input and is integral of input signal; therefore, it provides a faster response time19

A reference model is chosen which matches with the closed-loop system26

System models

Corrects for the error between the commanded setpoint and the actual value based on some type of feedback22

Changes the gain of the controller as the system moves between states26

Stability analysis

Does not depend on the stability of the system-less stable22

Improves the overall stability of the system26

Robust controller

Less robust, needs additional mechanisms to improve robustness22

Self-tune controller that works well with all variations26

Complexity

Controller has two tuning parameters to adjust, hence it’s a challenge to the system22

Less complex as the system adapts to variations in the system dynamics26

Result accuracy

Good22

Strong in nature26

Applications

Automatic movements of machines, systems22

Automatic adjustments of machine systems26