1,906 research outputs found
Thomas decompositions of parametric nonlinear control systems
This paper presents an algorithmic method to study structural properties of
nonlinear control systems in dependence of parameters. The result consists of a
description of parameter configurations which cause different control-theoretic
behaviour of the system (in terms of observability, flatness, etc.). The
constructive symbolic method is based on the differential Thomas decomposition
into disjoint simple systems, in particular its elimination properties
Necessary and Sufficient Conditions for Difference Flatness
We show that the flatness of a nonlinear discrete-time system can be checked
by computing a unique sequence of involutive distributions. The well-known test
for static feedback linearizability is included as a special case. Since the
computation of the sequence of distributions requires only the solution of
algebraic equations, it allows an efficient implementation in a computer
algebra program. In case of a positive result, a flat output can be obtained by
straightening out the involutive distributions with the Frobenius theorem. The
resulting coordinate transformation can be used to transform the system into a
structurally flat implicit triangular form. We illustrate our results by an
example.Comment: arXiv admin note: text overlap with arXiv:1907.0059
Unified formulation of a family of iterative solvers for power system analysis
This paper illustrates the construction of a new class of iterative solvers for power flow calculations based on the method of Alternating Search Directions. This method is fit to the particular algebraic structure of the power flow problem resulting from the combination of a globally linear set of equations and nonlinear local relations imposed by power conversion devices, such as loads and generators. The choice of the search directions is shown to be crucial for improving the overall robustness of the solver. A noteworthy advantage is that constant search directions yield stationary methods that, in contrast with Newton or Quasi-Newton methods, do not require the evaluation of the Jacobian matrix. Such directions can be elected to enforce the convergence to the high voltage operative solution. The method is explained through an intuitive example illustrating how the proposed generalized formulation is able to include other nonlinear solvers that are classically used for power flow analysis, thus offering a unified view on the topic. Numerical experiments are performed on publicly available benchmarks for large distribution and transmission systems
Workshop on the Integration of Finite Element Modeling with Geometric Modeling
The workshop on the Integration of Finite Element Modeling with Geometric Modeling was held on 12 May 1987. It was held to discuss the geometric modeling requirements of the finite element modeling process and to better understand the technical aspects of the integration of these two areas. The 11 papers are presented except for one for which only the abstract is given
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