Title | Stabilization of the belgian chocolate system via low-order controllers |
Authors | He, Guannan Wang, Long Xia, Bican Yu, Wensheng |
Affiliation | Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China |
Issue Date | 2007 |
Citation | 26th Chinese Control Conference, CCC 2007.Zhangjiajie, China. |
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 S 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 S proposed in the literature. |
URI | http://hdl.handle.net/20.500.11897/263590 |
DOI | 10.1109/CHICC.2006.4347567 |
Indexed | EI |
Appears in Collections: | 工学院 数学科学学院 数学及其应用教育部重点实验室 |