Full-Order Disturbance-Observer-Based Control for Singular Hybrid System. (11th July 2013)

• Record Type: Journal Article
• Authors: Yao, Xiuming; Dong, Ze; Wang, Dongfeng
• Other Names: Feng Zhiguang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-07-11
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/352198
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The problem of the disturbance-observer-based control for singular hybrid system with two types of disturbances is addressed in this paper. Under the assumption that the system states are, unavailable, full-order observers (for both system states and the disturbance) and a nonlinear control scheme are constructed, such that the composite system can be guaranteed to be stochastically admissible, and the two types of disturbances can be attenuated and rejected, simultaneously. Based on the Lyapunov stability theory, sufficient conditions for the existence of the desired full-order disturbance-observer-based controllers are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the proposed approaches.