Title :
Robust stability of control systems: extreme point results for the stability of edges
Author :
Kraus, F.J. ; Mansour, M. ; Truöl, W. ; Anderson, B.D.O.
Author_Institution :
Autom. Control Lab., Swiss Federal Inst. of Technol., Zurich, Switzerland
Abstract :
In the investigation of the robust stability of control systems with structured uncertainties, many results have been presented that lead to stability tests of the edges of a polytope. Some results are discussed where the stability of an edge can be guaranteed by the stability of the vertices of the edge. For two types of stability-the Schur and a rational D-stability-the conditions for the vertex property of an edge are obtained from the decomposition of the edge polynomials. The associated polynomial families, which can result by control of uncertain plants, are discussed
Keywords :
polynomials; stability; Schur stability; decomposition; edge polynomials; edge stability; extreme point; rational D-stability; structured uncertainties; uncertain control systems; Automatic control; Automatic testing; Closed loop systems; Control systems; Frequency domain analysis; Laboratories; Polynomials; Robust stability; System testing; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261247
