- 期刊
On Delay-dependent Robust Stability Criteria for Uncertain T-S Fuzzy Systems with Interval Time-varying Delay
並列摘要
This paper develops new stability criteria for T-S fuzzy systems with interval time-varying delay and parameter uncertainties. The derived criteria are delay- dependent, and are less conservative and more computationally efficient than those obtained from existing methods. The basic ideas are to use appropriate Lyapunov-Krasovskii function and augmented Lyapunov-Krasovskii functional, to construct uncorrelated augmented matrix (UAM), and to deal with cross terms in the UAM through improved Jessen inequality. Using this approach, neither free weighing matrices nor model transformations are necessary in our derivation. The paper also shows that some existing results are special cases of the results derived in this paper. Numerical examples are given to demonstrate the effectiveness of the developed stability criteria.
延伸閱讀
- Li, B. (2011). Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay. Journal of Control Science and Engineering, 2011(), 269-277. https://doi.org/10.1155/2011/938749
- Liu, P. L. (2012). Improved Delay-Dependent Stability Criteria for Time-varying Delay Neutral Systems with Nonlinear Perturbations. 建國科大理工期刊, 32(1), 31-54. https://doi.org/10.6995/JSECTU.201210.0031
- Mao, W. H., Deng, F. Q., & Wan, A. H. (2012). Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay. Journal of Applied Mathematics, 2012(), 1080-1101-468. https://doi.org/10.1155/2012/593780
- Liu, P. L. (2014). Improved Delay-Dependent Robust Stability Criteria for Neutral Uncertain Systems with Time-Varying Delay. 電機工程學刊, 21(1), 1-11. https://doi.org/10.6329/CIEE.2014.1.01
- Weera, W., & Niamsup, P. (2011). Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations. Journal of Applied Mathematics, 2011(), 84-103-005. https://doi.org/10.1155/2011/138912