Abstract
In this paper, the non-fragile H∞ control problem for uncertain singular systems with both state and input time-varying delays is studied. Based on Lyapunov-Krasovskii functional theory and the linear matrix inequality optimization technique, non-fragile H∞ control is proposed not only to guarantee asymptotic stability in uncertain singular systems but also to reduce the effect of external disturbances to a desired level of H∞ norm constraint. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed results.
Original language | English |
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Pages (from-to) | 31-40 |
Number of pages | 10 |
Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
Volume | 8 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2007 Jan 1 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modelling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics