Parameter Dependent H∞ Controller Design by Finite Dimensional LMI Optimization: Application to Trade-off Dependent Control

Abstract : The design of a parameter dependent H∞ controller for a parameter dependent plant is considered. A solution can be proposed as a parameter dependent LMI optimization problem, that is, an infinite dimensional problem. In the case of rational dependence, an approach is proposed involving an optimization problem over parameter independent LMI constraints (which is finite dimensional). The obtained conditions are less conservative than previous ones. An application to the trade-off dependent controller design with the control of a DC motor is developed to emphasize the interest of our approach.