TY - JOUR
T1 - Robust stability of control systems
T2 - Extreme point results for the stability of edges
AU - Kraus, F. J.
AU - Mansour, M.
AU - Truöl, W.
AU - Anderson, B. D.O.
PY - 1992/5
Y1 - 1992/5
N2 - For the investigation of the robust stability of control systems with structured uncertainties many results have been presented recently that lead to stability tests of the edges of a polytope. In this paper some results are discussed where the stability of an edge is guaranteed by the stability of the vertices of the edge. Given the characteristic polynomial of a closed loop system with structured uncertainties in the parameters; for special types of uncertainties the family of polynomials is defined by a polytope in the space of parameters. In the frequency domain the corresponding value set of the family, for s = jw fixed, is a polygon whose edges are formed by the so-called exposed edges of the polytope. For the investigation of the stability of the polynomial family these exposed edges must be tested (Kraus and Truol 1991 a). This test can be simplified if an edge has the vertex property, i.e. if the stability of the edge is guaranteed by the stability of the two vertices.
AB - For the investigation of the robust stability of control systems with structured uncertainties many results have been presented recently that lead to stability tests of the edges of a polytope. In this paper some results are discussed where the stability of an edge is guaranteed by the stability of the vertices of the edge. Given the characteristic polynomial of a closed loop system with structured uncertainties in the parameters; for special types of uncertainties the family of polynomials is defined by a polytope in the space of parameters. In the frequency domain the corresponding value set of the family, for s = jw fixed, is a polygon whose edges are formed by the so-called exposed edges of the polytope. For the investigation of the stability of the polynomial family these exposed edges must be tested (Kraus and Truol 1991 a). This test can be simplified if an edge has the vertex property, i.e. if the stability of the edge is guaranteed by the stability of the two vertices.
UR - http://www.scopus.com/inward/record.url?scp=84947625953&partnerID=8YFLogxK
U2 - 10.1080/00207179208934271
DO - 10.1080/00207179208934271
M3 - Article
AN - SCOPUS:84947625953
SN - 0020-7179
VL - 55
SP - 1039
EP - 1049
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -