A Unified Robust Control System Design Based on Finite Frequency Properties : Behavioral Approach

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In this research project, we studied the research topics using quadratic differential forms (QDFs) which play an important roles in the dissipation theory based on behavioral approach. We first characterized the finite frequency properties of distributed systems based on dissipativity and clarified their physical interpretation. moreover, we have derived a necessary and sufficient condition for the stability of two-dimensional distributed systems in terms of QDFs and polynomial matrix equation. Finally, we have derived a synthesis condition of a controller which achieves finite frequency property specifications. A robust control systems design and experimental validations remained as future works.