Control and Estimation for Vector Field driven Dynamics
Fernando Lobo Pereira

This poster reports on some work already undertaken at FEUP on the optimal control of dynamic systems driven by both, ordinary and partial, differential equations. Results using optimality conditions of the Maximum Principle type were derived and applied to simple models of AUVs. The second part is of a more provocative nature as it only raises issues and questions pertinent to novel estimation procedures extending the ones currently used for dynamics systems defined by ordinary differential equations to vector field dynamics, i.e., systems described by partial differential equations. These could be of interest in order to estimate models of underwater phenomena, such as, for example, fronts propagation.