An Optimal H₂Controller Design Formulation and Solution Based on Chain-Scattering Description Approach

This paper presents an approach for the design of optimal H2 feedback controllers using the Chain-scattering Description two-port framework. The proposed method enables a direct determination of the closed-loop poles from the state-space representation of a Standard Control Configuration plant. By leveraging the computer-aided design tools such as MATLAB/Simulink, the proposed solution facilitates efficient controller realization and analysis. The key contribution lies in the effective selection of weighting functions, which play a crucial role in determining the control system behavior. The presented formulation of weighting function selections aims to enhance the practical application of the optimal feedback controller design. The significance of this work extends to various engineering applications, promising advancements in control systems engineering, including the use of AI techniques for weighting function selection with the aim to drive innovation and enhance control system performance. Validation of the proposed approach using examples were provided.