Systems Controle and Optimization Seminar - Melvyn Wildeboer, University of Groningen

Title: Hierarchical Control Using Measurement Feedback for Linear Systems

Abstract:

Modern engineering systems are becoming increasingly more complex. Since direct control techniques for these systems are often not applicable, hierarchical control strategies have been developed, which allow for the design of a controller for a complex system based on a controller for a simpler version of the original system, known as the abstraction. A key element in these hierarchical control strategies is that of controller refinement, in which the controller for the abstraction is used to design a suitable controller for the original to-be-controlled system. In this presentation, a mathematical framework for hierarchical control of linear dynamical systems is developed. It is shown that by imposing that the to-be-controlled system and abstraction are related through a similarity relation known as robust alternating simulation, it becomes possible to formulate a solution to the problem of controller refinement when state measurements are available. We extend these results to the case when only output measurements are available and again show that controller refinement can be achieved.