Title :
Numerical Convex Hull Manipulation under Tensor Product Transformation Based Control Design
Author :
Matszangosz, Ákos ; Nagy, Szabolcs ; Baranyi, Péter
Author_Institution :
Comput. & Autom. Res. Inst., Hungarian Acad. of Sci., Budapest
Abstract :
This paper presents a quadratic programming based algorithm to generate different convex representations for a given point set and allow easy manipulation of these convex hulls. The result is used in the tensor product model transformation based controller design method to generate different polytopic representations of linear parameter-varying models.
Keywords :
control system synthesis; geometry; linear systems; quadratic programming; singular value decomposition; tensors; controller design method; higher order singular value decomposition; linear parameter-varying model; numerical convex hull manipulation; polytopic point set representation; quadratic programming based algorithm; tensor product model transformation; Control design; Control system analysis; Control theory; Design automation; Design methodology; Electronic mail; Linear matrix inequalities; Quadratic programming; Robust control; Tensile stress;
Conference_Titel :
Computational Cybernetics, 2008. ICCC 2008. IEEE International Conference on
Conference_Location :
Stara Lesna
Print_ISBN :
978-1-4244-2874-8
Electronic_ISBN :
978-1-4244-2875-5
DOI :
10.1109/ICCCYB.2008.4721399