These 2 PhD projects will focus on the development of novel concepts in optimization and control theory by integrating fuzzy logic and mathematical optimization. The main objective is to generate new approaches with performance guarantees that are tractable for real-time engineering control problems that involve uncertainties. Therefore, next to generating new integrated concepts, theoretical properties (including characterization of the computational complexity) and performance guarantees will be established. The developed methods will subsequently be extended to the case of online optimization for uncertain nonlinear systems.
Although the main focus of these 2 PhD projects is on fundamental research, implementation of the developed approaches will be investigated for socially assistive robots and for autonomous robots that participate in search and rescue in the aftermath of disasters.
The research will be carried out at the Aerospace Engineering Faculty (Department of Control and Operations, Control and Simulation section) of TU Delft.