A Scenario Approach to Robust Distributed Control for Plantwide Process Systems

This paper proposes probabilistic distributed control design method to a linear plantwide system with generic parametric uncertainty in the behavioural framework. Parametric quadratic differential forms (QDF) are used to characterise the dynamic properties of the processes and controllers in the form of dissipativity properties as well as imposing plantwide requirements. The scenario approach is then used to convert the parametric linear matrix inequalities (LMI) to deterministic ones, hence making them solvable using finite algorithms. The controllers are synthesised in parallel directly from their respective supply rates through $J$-factorisation.