Title :
Convexity in coefficient space for a class of multilinear uncertain polynomials
Author :
Chen, Weining ; Petersen, Ian R.
Author_Institution :
JRCASE, Macquarie Univ., Sydney, NSW, Australia
Abstract :
This paper considers a class of multilinear uncertain polynomials which defines a convex polytope in coefficient space. The main result is as follows: Suppose a multilinear uncertain polynomial has a symmetric uncertainty structure and the uncertainty box satisfies a non-overlapping assumption. If the dimension of the uncertainty box is greater than the dimension of the coefficient space, then the image of this uncertainty box will be a convex polytope in coefficient space. This result can be used in a robust pole placement problem in which complex closed loop poles are allowed
Keywords :
closed loop systems; pole assignment; polynomials; robust control; uncertain systems; coefficient space; complex closed loop poles; convex polytope; convexity; multilinear uncertain polynomials; nonoverlapping assumption; robust pole placement problem; symmetric uncertainty structure; uncertainty box; Ear; Linear programming; Polynomials; Robust stability; Robustness; State feedback; Sufficient conditions; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572679