Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality

Sergey Gayvoronskiy, Tatiana Ezangina, Ivan Khozhaev, Viktor Kazmin

Результат исследований: Материалы для журналаСтатья

Выдержка

The research deals with the methodology intended to root robust quality indices in the interval control system, the parameters of which are affinely included in the coefficients of a characteristic polynomial. To determine the root quality indices we propose to depict on the root plane not all edges of the interval parametric polytope (as the edge theorem says), but its particular vertex-edge route. In order to define this route we need to know the angle sequence at which the edge branches depart from any integrated pole on the allocation area. It is revealed that the edge branches can integrate into the route both fully or partially due to intersection with other branches. The conditions which determine the intersection of one-face edge images have been proven. It is shown that the root quality indices can be determined by its ends or by any other internal point depending on a type of edge branch. The conditions which allow determining the edge branch type have been identified. On the basis of these studies we developed the algorithm intended to construct a boundary vertex-edge route on the polytope with the interval parameters of the system. As an illustration of how the algorithm can be implemented, we determined and introduced the root indices reflecting the robust quality of the system used to stabilize the position of an underwater charging station for autonomous unmanned vehicles.

Язык оригиналаАнглийский
ЖурналInternational Journal of Automation and Computing
DOI
СостояниеОпубликовано - 1 янв 2019

Отпечаток

Robust control
Robust Control
Polytope
Branch
Roots
Unmanned vehicles
Poles
Polynomials
Control systems
Intersection
Interval Systems
Unmanned Vehicles
Interval
Characteristic polynomial
Vertex of a graph
Pole
Integrate
Control System
Face
Internal

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Applied Mathematics

Цитировать

Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality. / Gayvoronskiy, Sergey; Ezangina, Tatiana; Khozhaev, Ivan; Kazmin, Viktor.

В: International Journal of Automation and Computing, 01.01.2019.

Результат исследований: Материалы для журналаСтатья

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