Robust Control of Dynamical Systems Using Linear Matrix Inequalities and Norm-Bounded Uncertainty

[摘要] This work presents the application of linear matrix inequalities (LMIs) to the robust adjustment of controllers with pre-defined structure to improve the damping of dynamical systems. The uncertainty is described using norm-bounded models. Results of some tests show that gain and zeros adjustments are sufficient to guarantee robust stability and performance with respect to various operating points. Making use of the flexible structure of LMIs, we propose an algorithm that guarantees the damping factor specified for the closed-loop system, always using a controller with flexible structure. The technique used here is the pole placement, whose objective is to place the poles of the closed-loop system in a specific region of the complex plane, for a set of operating conditions. Results of tests with an electrical power system are presented and compared to another robust control technique that makes use of polytopic models...

[学科分类] 自动化工程

[关键词] Linear matrix inequalities ;Pole placement ;Norm-bounded uncertainty ;Robust control