• openAccess   A Path Planning Algorithm for a Dynamic Environment Based on Proper Generalized Decomposition 

      Falco, Antonio; Hilario Pérez, Lucia; montes , Nicolas; Mora, Marta Covadonga; Nadal Soriano, Enrique MDPI (2020-12-19)
      A necessity in the design of a path planning algorithm is to account for the environment. If the movement of the mobile robot is through a dynamic environment, the algorithm needs to include the main constraint: real-time ...
    • openAccess   Real-Time Path Planning Based on Harmonic Functions under a Proper Generalized Decomposition-Based Framework 

      montes , Nicolas; Chinesta, Francisco; Mora, Marta Covadonga; Falco, Antonio; Hilario Pérez, Lucia; Rosillo Guerrero, Nuria; Nadal Soriano, Enrique Multidisciplinary Digital Publishing Institute (2021-06-02)
      This paper presents a real-time global path planning method for mobile robots usingharmonic functions, such as the Poisson equation, based on the Proper Generalized Decomposition(PGD) of these functions. The main property ...
    • openAccess   Towards a Vector Field Based Approach to the Proper Generalized Decomposition (PGD) 

      Falco, Antonio; Hilario Pérez, Lucia; Montés, Nicolás; Mora, Marta Covadonga; Nadal Soriano, Enrique MDPI (2021)
      A novel algorithm called the Proper Generalized Decomposition (PGD) is widely used by the engineering community to compute the solution of high dimensional problems. However, it is well-known that the bottleneck of its ...