Non-Fragile Guaranteed Cost Control for a Class of Uncertain Time-Delay Switched Singular Systems

Abstract:

The problem of robustly non-fragile guaranteed cost control for a class of uncertain time-delay switched singular systems under arbitrary switching laws is considered. By means of matrix equivalent transformation and the relationship between the norm and the matrix, based on linear matrix inequality tools, a sufficient condition on the existence of non-fragile guaranteed cost state feedback controllers is derived, which ensures that uncertain time-delay switched singular system is admissible, and a corresponding cost index can be guaranteed. The design problem of the non-fragile guaranteed cost controller can be turned into the feasibility problem of a set of linear matrix inequalities. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.

• Periodical: Applied Mechanics and Materials (Volumes 380-384)
• Pages: 639-647
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.380-384.639
• Online since: August 2013
• Authors: Yue Sheng Luo, Man Xu, Shi Lei Zhang, Tong Li, Chun Fang Liu
• Keywords: Linear Matrix Inequality (LMI), Non-Fragile Guaranteed Cost Control, Quadratic Stability, Switched Singular Systems, Time-Delay, Uncertainty

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