Robustness and stability analysis for parametric uncertainties in a three-area AGC power system using TLBO-LMI-tuned PI controller

In order to address the load frequency issue in a three-area power generating system, this research suggests a teaching learning-based optimization-linear matrix, inequalities-tuned proportional–integral controller. The suggested TLBO-LMI approach synchronizes TLBO with LMI control toolbox optimization to acquire the ideal control parameters of the traditional PI controller that adhere to the robust H_∞ constraints. Based on the suggested control's simplicity of implementation, adaptability to changes in the system's characteristics, and resilience to tuning, it is contrasted with the robust H_∞ controller. Several performance indicators were also employed to evaluate and contrast the efficiency and performance of the H_∞ controller and the suggested control techniques. Based on the simulation results used to study the performance and robustness of the suggested controller, it is clear that the proposed control approach outperforms the H_∞ controller in terms of both performance and applicability for the LFC problem.