Note:

Abstract: We follow up on the idea of using linear control techniques can be effectively used. The interested reader may methods for controlling non-linear systems by representing be pointed towards a more detailed version of this work [12], the non-linear system as an approximate linear system in a which we provide via our university file-sharing service. lifted state-space using the Koopman framework. H$\infty$ control techniques have been successfully applied to linear multi- Outline variable systems and the main idea in this paper is to use them on a data-driven identified lifted system within the Koopman We start by discussing the preliminaries of the Koopman framework. We present results in the form of a case study operator and H$\infty$ optimal control in the next section followed on two example systems. We choose the Van der Pol (VdP) by a precise description of the control design problem in oscillator as the first system which is a commonly used example in the Koopman literature. Even though a linear controller section 3. We then discuss the identification setup in section 4

Note:

Abstract: We follow up on the idea of using linear control techniques can be effectively used. The interested reader may methods for controlling non-linear systems by representing be pointed towards a more detailed version of this work [12], the non-linear system as an approximate linear system in a which we provide via our university file-sharing service. lifted state-space using the Koopman framework. H$\infty$ control techniques have been successfully applied to linear multi- Outline variable systems and the main idea in this paper is to use them on a data-driven identified lifted system within the Koopman We start by discussing the preliminaries of the Koopman framework. We present results in the form of a case study operator and H$\infty$ optimal control in the next section followed on two example systems. We choose the Van der Pol (VdP) by a precise description of the control design problem in oscillator as the first system which is a commonly used example in the Koopman literature. Even though a linear controller section 3. We then discuss the identification setup in section 4