An Optimal H₂Observer Controller Design Formulation and Solution Based on Chain-Scattering Description Approach

Various applications involving control systems often suffer from sensor-related limitations. Observers bridge this gap by combining sensed signals and computer model of a plant to improve control performance, despite sensor challenges. However, implementing observers can be complex and sometimes difficult to tune. To overcome these drawbacks, this study proposes an optimal H2 observer controller design using the Chain-Scattering Description (CSD) approach. Unlike traditional methods, the CSD approach directly determines the overall closed-loop poles from the so-called Standard Control Configuration plant. Notably, this paper contributes to improve optimal H2 observer controlling design formulations leading to effective weighting functions selection, crucial for the system optimal control performance, and practical application of the observed signal. 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. Validation of the proposed approach using example is provided.