Non-Fragile Exponential Stability Assignment of Discrete-Time Linear Systems With Missing Data in Actuators
作者： Zhan Shu , J. Lam , Junlin Xiong
关键词:
摘要: This technical note is concerned with the non-fragile exponential stabilization for a class of discrete-time linear systems missing data in actuators. The process modeled by Markov chain two state components. When no uncertainty exists controllers, necessary and sufficient condition, which not only guarantees stability but also gives lower bound on decay rate, established terms matrix inequalities (LMIs). Based this an LMI-based approach provided to design state-feedback controller such that closed-loop system exponentially stable prescribed rate known all admissible uncertainties controllers. A numerical example show effectiveness theoretical results.
hku.hk
sci-hub.se 参考文章(26)
X Liu, Z Wang, F Yang, Dwc Ho, Robust H-infinity filtering for stochastic time-delay systems with missing measurements IEEE. ,(2006)
George R. Sell, Arch W. Naylor, Linear Operator Theory in Engineering and Science ,(1982)
Cristina Ferreira, Fernando C. Silva, On the stabilization of linear discrete-time systems Linear Algebra and its Applications. ,vol. 390, pp. 7- 18 ,(2004) , 10.1016/J.LAA.2004.03.040
Shengyuan Xu, James Lam, Guang-Hong Yang, Jianliang Wang, STABILIZATION AND H∞ CONTROL FOR UNCERTAIN STOCHASTIC TIME-DELAY SYSTEMS VIA NON-FRAGILE CONTROLLERS Asian Journal of Control. ,vol. 8, pp. 197- 200 ,(2008) , 10.1111/J.1934-6093.2006.TB00270.X
Piotr Myszkorowski, Robust control of linear discrete-time systems Systems & Control Letters. ,vol. 22, pp. 277- 280 ,(1994) , 10.1016/0167-6911(94)90058-2
Guang-Hong Yang, Jian Liang Wang, Yeng Chai Soh, Guaranteed Cost Control for Discrete-Time Linear Systems under Controller Gain Perturbations Linear Algebra and its Applications. ,vol. 312, pp. 161- 180 ,(2000) , 10.1016/S0024-3795(00)00100-2
Germain Garcia, jacques Bernussou, Denis Arzelier, Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty Systems & Control Letters. ,vol. 22, pp. 327- 339 ,(1994) , 10.1016/0167-6911(94)90030-2
Ian R Petersen, A stabilization algorithm for a class of uncertain linear systems Systems & Control Letters. ,vol. 8, pp. 351- 357 ,(1987) , 10.1016/0167-6911(87)90102-2
Huijun Gao, Tongwen Chen, ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity IEEE Transactions on Automatic Control. ,vol. 52, pp. 2070- 2084 ,(2007) , 10.1109/TAC.2007.908316
O.L.V. Costa, M.D. Fragoso, Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters Journal of Mathematical Analysis and Applications. ,vol. 179, pp. 154- 178 ,(1993) , 10.1006/JMAA.1993.1341