Stability robustness bounds for linear state-space models with structured uncertainty
作者： Kemin Zhou , P. Khargonekar
关键词: Mathematical optimization 、 Stability (probability) 、 Stable system 、 Linear perturbation 、 State space 、 Mathematics 、 Robustness (computer science) 、 Linear system
摘要: In this note, we consider the robust stability analysis problem in linear state-space models. We systems with structured uncertainty. Some lower bounds on allowable perturbations which maintain of a nominally stable system are derived. These shown to be less conservative than existing ones.
sci-hub.se 参考文章(5)
R. V. Patel, M. Toda, Quantitative measures of robustness for multivariable systems IEEE Transactions on Automatic Control. ,vol. 17, pp. 35- ,(1980) , 10.1109/JACC.1980.4232116
R. Yedavalli, Z. Liang, Reduced conservatism in stability robustness bounds by state transformation IEEE Transactions on Automatic Control. ,vol. 31, pp. 863- 866 ,(1986) , 10.1109/TAC.1986.1104408
R. Patel, M. Toda, B. Sridhar, Robustness of linear quadratic state feedback designs in the presence of system uncertainty IEEE Transactions on Automatic Control. ,vol. 22, pp. 945- 949 ,(1977) , 10.1109/TAC.1977.1101658
Rama Krishna Yedavalli, Siva S. Banda, D. Brett Ridgely, Time-domain stability robustness measures for linear regulators Journal of Guidance Control and Dynamics. ,vol. 8, pp. 520- 524 ,(1985) , 10.2514/3.20014
R. Yedavalli, Improved measures of stability robustness for linear state space models IEEE Transactions on Automatic Control. ,vol. 30, pp. 577- 579 ,(1985) , 10.1109/TAC.1985.1103996