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

doi:10.1007/s11633-019-1182-y

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	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
发表期刊	International Journal of Automation and Computing
ISSN	1476-8186
	2019
卷号	16 期号:6 页码:828-837
摘要	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.
关键词	Robust control parametric uncertainty parametric polytope interval parameters system analysis.
DOI	10.1007/s11633-019-1182-y
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42378
专题	学术期刊_Machine Intelligence Research
作者单位	School of Computer Science and Robotics, National Research Tomsk Polytechnic University, Tomsk 634050, Russia
推荐引用方式 GB/T 7714	Sergey Gayvoronskiy,Tatiana Ezangina,Ivan Khozhaev,et al. Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality[J]. International Journal of Automation and Computing,2019,16(6):828-837.
APA	Sergey Gayvoronskiy,Tatiana Ezangina,Ivan Khozhaev,&Viktor Kazmin.(2019).Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality.International Journal of Automation and Computing,16(6),828-837.
MLA	Sergey Gayvoronskiy,et al."Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality".International Journal of Automation and Computing 16.6(2019):828-837.

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