H∞ control of a class of 2-D continuous switched delayed systems via state-dependent switching
作者： Imran Ghous , Zhengrong Xiang
DOI: 10.1080/00207721.2015.1068882
关键词:
摘要: This paper addresses the problem of state feedback H∞ stabilisation 2-D two-dimensional continuous switched delayed systems represented by Roesser model using multiple Lyapunov functional approach. First, an asymptotical stability condition with state-dependent switching is derived. Second, a sufficient for performance underlying system established. Third, controller proposed to ensure that resulting closed-loop has prescribed level under signal. All results are developed in terms linear matrix inequalities. Finally, three examples provided demonstrate validity and effectiveness method.
harvard.edu
acm.org 
sci-hub.se 参考文章(44)
Choon Ki Ahn, $l_{2} - l_{\infty}$ Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference IEEE Transactions on Circuits and Systems Ii-express Briefs. ,vol. 60, pp. 361- 365 ,(2013) , 10.1109/TCSII.2013.2258259
Chunling Du, Lihua Xie, H[∞] control and filtering of two-dimensional systems Springer. ,(2002)
Jirair Kevorkian, Partial Differential Equations: Analytical Solution Techniques ,(1990)
Tadeusz Kaczorek, Two-Dimensional Linear Systems ,(1985)
Djillali Bouagada, Paul Van Dooren, On the stability of 2D state‐space models Numerical Linear Algebra With Applications. ,vol. 20, pp. 198- 207 ,(2013) , 10.1002/NLA.836
Zhengrong Xiang, Qingwei Chen, Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching Applied Mathematics and Computation. ,vol. 216, pp. 800- 811 ,(2010) , 10.1016/J.AMC.2010.01.084
S. Shi, Q. Zhang, Z. Yuan, W. Liu, Hybrid impulsive control for switched singular systems Iet Control Theory and Applications. ,vol. 5, pp. 103- 111 ,(2011) , 10.1049/IET-CTA.2009.0444
Imran Ghous, Zhengrong Xiang, Robust state feedback $$H_\infty $$ H ∞ control for uncertain 2-D continuous state delayed systems in the Roesser model Multidimensional Systems and Signal Processing. ,vol. 27, pp. 297- 319 ,(2016) , 10.1007/S11045-014-0301-8
Choon Ki Ahn, Two new criteria for the realization of interfered digital filters utilizing saturation overflow nonlinearity Signal Processing. ,vol. 95, pp. 171- 176 ,(2014) , 10.1016/J.SIGPRO.2013.08.018
Chakir El-Kasri, Abdelaziz Hmamed, El Houssaine Tissir, Fernando Tadeo, Robust $$H_{\infty }$$ H ∞ filtering for uncertain two-dimensional continuous systems with time-varying delays Multidimensional Systems and Signal Processing. ,vol. 24, pp. 685- 706 ,(2013) , 10.1007/S11045-013-0242-7