35 research outputs found

    Automated multigravity assist trajectory planning with a modified ant colony algorithm

    Get PDF
    The paper presents an approach to transcribe a multigravity assist trajectory design problem into an integrated planning and scheduling problem. A modified Ant Colony Optimization (ACO) algorithm is then used to generate optimal plans corresponding to optimal sequences of gravity assists and deep space manoeuvers to reach a given destination. The modified Ant Colony Algorithm is based on a hybridization between standard ACO paradigms and a tabu-based heuristic. The scheduling algorithm is integrated into the trajectory model to provide a fast time-allocation of the events along the trajectory. The approach demonstrated to be very effective on a number of real trajectory design problems

    Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control

    Get PDF
    This paper presents a branch-and-lift algorithm for solving optimal control problems with smooth nonlinear dynamics and potentially nonconvex objective and constraint functionals to guaranteed global optimality. This algorithm features a direct sequential method and builds upon a generic, spatial branch-and-bound algorithm. A new operation, called lifting, is introduced, which refines the control parameterization via a Gram-Schmidt orthogonalization process, while simultaneously eliminating control subregions that are either infeasible or that provably cannot contain any global optima. Conditions are given under which the image of the control parameterization error in the state space contracts exponentially as the parameterization order is increased, thereby making the lifting operation efficient. A computational technique based on ellipsoidal calculus is also developed that satisfies these conditions. The practical applicability of branch-and-lift is illustrated in a numerical example. © 2013 Springer Science+Business Media New York

    The Small Satellites of Pluto as Observed by New Horizons

    Full text link
    The New Horizons mission has provided resolved measurements of Pluto's moons Styx, Nix, Kerberos, and Hydra. All four are small, with equivalent spherical diameters of \approx40 km for Nix and Hydra and ~10 km for Styx and Kerberos. They are also highly elongated, with maximum to minimum axis ratios of \approx2. All four moons have high albedos ( \approx50-90 %) suggestive of a water-ice surface composition. Crater densities on Nix and Hydra imply surface ages \gtrsim 4 Ga. The small moons rotate much faster than synchronous, with rotational poles clustered nearly orthogonal to the common pole directions of Pluto and Charon. These results reinforce the hypothesis that the small moons formed in the aftermath of a collision that produced the Pluto-Charon binary.Comment: in Science 351, aae0030 (2016

    Middle East - North Africa and the millennium development goals : implications for German development cooperation

    Get PDF
              Closed-loop controlled combustion is a promising technique to improve the overall performance of internal combustion engines and Diesel engines in particular. In order for this technique to be implemented some form of feedback from the combustion process is required. The feedback signal is processed and from it combustionrelated parameters are computed. These parameters are then fed to a control process which drives a series of outputs (e.g. injection timing in Diesel engines) to control their values. This paper’s focus lies on the processing and computation that is needed on the feedback signal before this is ready to be fed to the control process as well as on the electronics necessary to support it. A number of feedback alternatives are briefly discussed and for one of them, the in-cylinder pressure sensor, the CA50 (crank angle in which the integrated heat release curve reaches its 50% value) and the IMEP (Indicated Mean Effective Pressure) are identified as two potential control variables. The hardware architecture of a system capable of calculating both of them on-line is proposed and necessary feasibility size and speed considerations are made by implementing critical blocks in VHDL targeting a flash-based Actel ProASIC3 automotive-grade FPGA

    Efficient Numerical Methods in Electronic Circuit Simulation

    No full text
    The CAD-based automatic generation of electrical network equations leads to differential-algebraic equations. To achieve a both efficient and reliable simulation tool, numerical integration software must be tailored to the special structure and properties of these systems. Hence alternatives to the classical BDF-approach are discussed. Numerical simulation results of a charge pump circuit show the merits of charge-oriented ROW-methods. 1 Introduction Numerical simulation in the time domain is an important tool in the design of electric circuits nowadays [10]. To be suitable for MOScircuits, a charge-oriented modeling is applied. Since the network equations of highly integrated circuits with thousands of elements cannot be derived analytically, commercial CAD-based simulation packages are used to generate the equations automatically. This approach, however, involves a redundant set of variables and thus results in differential-algebraic equations (DAEs). Granted by the Bayerische Fo..

    Finite Elements in Time: A Direct Transcription Method for Optimal Control Problems

    No full text
    corecore