Robust H2 Control: Linear Matrix Inequality Approach

The subject of this research is the design of Robust Multivariable Controllers based on the Linear Matrix Inequalities (LMI) approach. The specific topics being investigated are Robust H2 methods and their application to practical problems.Among the advantages of the LMI formulation is the ability to mix robust H2 criteria with other important control system objectives like pole region assignment and H constraints. Furthermore the LMI formulation provides great flexibility in constructing many useful results beyond the standard Algebraic Riccati equation approach. A major achievement has been the development of a practical, robust multivariable design strategy that has been successfully verified on a number of practical problems. These include the design of controllers for the ACC benchmark problem and a HVDC (High voltage Direct Current) system. The current focus is on the design of low order and decentralized controllers.In particular a technique based successive centering algorithms has been successfully developed and applied to the design of controllers for a HVDC system with long cables.

Stichwörter

• LMI