Title :
Stabilization of the Belgian Chocolate System via Low-order Controllers
Author :
Guannan, He ; Long, Wang ; Bican, Xia ; Wensheng, Yu
Author_Institution :
Chinese Acad. of Sci., Beijing
Abstract :
This paper considers the challenging Belgian chocolate stabilization problem posed by V.Blondel. Based on the recent development in automated inequality-type theorem proving, the exact upper bounds for zeta which guarantee the existence of bistable stabilizers with order no more than four have been determined. By a suitable perturbation of the obtained stabilizable conditions, a numerical example of fourth-order controller is found, which improves the maximal value of zeta proposed in the literature.
Keywords :
stability; theorem proving; Belgian chocolate system stabilization; automated inequality-type theorem proving; bistable stabilizers; fourth-order controller; low-order controllers; Automatic control; Automation; Control systems; Educational institutions; Helium; Intelligent systems; Laboratories; Polynomials; Upper bound; Belgian chocolate problem; automated theorem proving; bistable stabilization; inequality-type theorem; low-order controller; stabilization;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347567