Control for discrete singular hybrid systems |
| |
| Authors: | Yuanqing Xia [Author Vitae] Jinhui Zhang [Author Vitae] |
| |
| Affiliation: | a Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China
b Mechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “centre-ville”, Montréal, Québec, Canada H3C 3A7 |
| |
| Abstract: | The problems of stability, state feedback control and static output feedback control for a class of discrete-time singular hybrid systems are investigated in this paper. A new sufficient and necessary condition for a class of discrete-time singular hybrid systems to be regular, causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities (LMIs). Sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict LMIs, respectively. Finally, two illustrative examples are provided to demonstrate the applicability of the proposed approach. |
| |
| Keywords: | Discrete-time systems Linear matrix inequality (LMI) Hybrid systems State feedback control Static output feedback control Singular systems |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
