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Mathematical Problems in Engineering
Volume 2013, Article ID 352198, 7 pages
Research Article

Full-Order Disturbance-Observer-Based Control for Singular Hybrid System

1Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation, North China Electric Power University, Baoding 071003, China
2National Key Laboratory on Aircraft Control Technology, Beihang University, Beijing 100191, China

Received 22 May 2013; Accepted 24 June 2013

Academic Editor: Zhiguang Feng

Copyright © 2013 Xiuming Yao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.