Data-driven control approaches have been proved highly effective in applications where the dynamics of the system are unknown. The reason is that the use of data in control overcomes the challenge of parametric modeling which requires effort and often leads to an insufficient description of the system’s behavior. By contrast, the behavior of the system can be captured more accurately when input-output data is used. In this project a frequency-domain approach is proposed for robust controller design for controllers of pre-specified structure. Specifically, an existing technique is extended so that it guarantees not only nominal, but also robust performance. This is achieved by ensuring performance for multiple frequency-domain models acquired from data. The related computational efficiency in the overall approach is also a fundamental criterion and thus we propose a series of techniques by which it can be improved. Additionally, a major contribution of this work is an iterative algorithm that minimizes a linear approximation of the H infinity norm of the closed-loop system. Last but not least, a method to optimize the linear constraints of the optimization scheme is proposed.

Heave Compensation (HC) greatly improves the operability of lifting operations at sea, performed from ships under influence of heave motion. Especially with long cables and heavy payloads, the payload starts moving with larger amplitudes than the ship itself when no HC control is involved. HC aims to decouple the ships vertical motion due to the waves (the heave) with the cable, such that the cable and payload are as unaffected as possible by the heave motion. Several implementations are possible for HC, but in this Thesis only Hybrid Heave Compensation is elaborated. In order to decouple the cable from the ship's motion, the cable is actuated. In this Thesis a heave compensation cylinder is evaluated to control the cable length. This is a set of hydraulic cylinders between two sheaves, with the cable wound around them. Cable dynamics are very important when lifting a payload to deep sea. Cable lengths of up to 3000 m are considered in this Thesis. In contrast to most papers on HC, a lot of effort is put in the cable model, which has proven to be necessary. In most papers, the cable is simulated as a single mass-spring-damper, which has consequently only one resonant frequency. The cable model in this Thesis is based on PDE equations and includes the first twenty resonant modes of the cable and payload. Simulations point out that multiple modes are significantly present in the payload motion and forces in the cable, which indicate that these resonant modes cannot be neglected. The most basic control strategy in HC is feedforward on the heave measurement, which is taken as benchmark. A PID on velocity is added to the feedforward to assist in decoupling the ship from the cable, which is a common control strategy in HC. This controller however causes worse payload movement compared to the benchmark in simulations with long cable lengths. Another control strategy is feedback on the measured force at the top of the cable combined with the feedforward, which performs better than the benchmark. This controller however cannot cope with steady state errors, causing the heave compensation cylinder to drift to it's limits. A better option is to combine the velocity and force feedback in parallel, combined with the feedforward. Two options for balancing between force and velocity feedback are evaluated under different working conditions; the controllers are simulated under multiple cable lengths, payload masses, noise and control delays. It turns out that force feedback combined with a low bandwidth velocity feedback performs best at the different scenarios. This is in comparison to velocity feedback with additional damping from the force PID and the benchmark controller. The parallel PID with emphasis on force feedback performs especially well on damping resonant modes in the cable and payload and limiting force variations. Under the conditions as in this Thesis, the parallel PID controller with emphasis on force feedback is recommended for use in HC control.

In the past decade, the wind energy subsidies provided by the Dutch government is declining. In order to adopt wind energy as a well-established source of renewable energy, the costs of (offshore) wind energy should be lowered. This can be achieved by increasing the energy production or by lowering the maintenance and initial costs. In search of lowering the costs, the wind industry is pushing towards the boundary limits of design. The use of multi-objective design is needed for exploring those limits, for which the field of control and structural engineering get together. Currently, little research is conducted of combining controller and structural design in the wind turbine industry. The goal of this thesis is to investigate the possibility of optimizing the support structure design and the controller design into one single optimization routine. The method describes the use of nonsmooth H∞-synthesis. The modelling principles of the turbine makes use of different approaches. A simple finite element model of the wind turbine tower is constructed. The wall thickness of the tower sections is extracted as a tunable parameter, through an affine representation of the Ordinary Differential Equations (ODEs). In this thesis, the Controller Structure Optimization (CSO) for the offshore wind turbine combines the design of a load reducing Rotor Speed Controller (RSC) and wall thickness reduction. In theory, the bandwidth of the RSC is limited by the first tower bending mode. Therefore, the bandwidth of the designed controller is chosen well below the first eigenfrequency. It was found that the limitations do not influence the solution. The limitations of the proposed method are bounded by the weight functions, which impose a limit on the performance. Furthermore, it was found that the CSO framework can minimize the wall thickness of the tower elements, and simultaneously design a suitable RSC for tracking a rotor speed. The results are verified in high-fidelity wind turbine model, where the control-relevant subjects are addressed and specified. It was found that by addressing multi-objectives, we can design a controller with rotor tracking abilities and load reducing properties. Hence, the proposed CSO framework, can simultaneously design controllers and alter the structure and thereby increase the overall performance of the system.