The multiobjective control problem is difficult and remains mostly open. Although the Linear Matrix Inequalities (LMI) provide a powerful analysis technique, a trade-off must be done in the relaxation to restore LMI's properties in control synthesis. The Youla parameterization is one of the skill to restore LMI's properties while generating all possible compensators. in this paper, it is shown that Youla parameterization can lead to H2 optimisation without introducing additional decision variables, and allows to perform frequency shaping (such as flexible modes attenuation) without having to choose frequency weights.
- Multiobjective control
- Youla parameterization