H ∞ filtering for singularly perturbed descriptor systems
作者： Xiaoqing Xiao , Lei Zhou , Guoping Lu
DOI:
关键词: Descriptor systems 、 Filtering problem 、 Mathematics 、 Robustness (computer science) 、 Control theory 、 Upper and lower bounds 、 H filter 、 Matrix decomposition 、 Control system 、 Linear matrix inequality
摘要: The H ∞ filtering problem for singularly perturbed descriptor system is investigated in this paper. Firstly, an e-independent sufficient condition obtained such that the error admissible and satisfies prescribed performance. Then, LMI-based design approaches are presented by linearizing transformation techniques. paper independent of parameter can avoid numerical stiff problem. Finally, approach illustrated a example.
参考文章(16)
Desineni S Naidu, Singular perturbations and time scales in control theory and applications: An overview Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm. ,vol. 9, pp. 233- 278 ,(2002)
L. Dai, Singular Control Systems ,(1989)
Hassan K. Khalil, John O'Reilly, Petar Kokotović, Singular Perturbation Methods in Control: Analysis and Design ,(1986)
D. Yue, Q.-L. Han, Robust H/sub /spl infin// filter design of uncertain descriptor systems with discrete and distributed delays IEEE Transactions on Signal Processing. ,vol. 52, pp. 3200- 3212 ,(2004) , 10.1109/TSP.2004.836535
Shengyuan Xu, J. Lam, Yun Zou, H/sub /spl infin// filtering for singular systems IEEE Transactions on Automatic Control. ,vol. 48, pp. 2217- 2222 ,(2003) , 10.1109/TAC.2003.820149
Shengyuan Xu, James Lam, Reduced-order H∞ filtering for singular systems☆ Systems & Control Letters. ,vol. 56, pp. 48- 57 ,(2007) , 10.1016/J.SYSCONLE.2006.07.010
Ching-Min Lee, I-Kong Fong, H ∞ Filter Design for Uncertain Discrete-Time Singular Systems via Normal Transformation Circuits Systems and Signal Processing. ,vol. 25, pp. 525- 538 ,(2006) , 10.1007/S00034-005-0815-2
Nguyen Huu Du, Vu Hoang Linh, Implicit-system approach to the robust stability for a class of singularly perturbed linear systems Systems & Control Letters. ,vol. 54, pp. 33- 41 ,(2005) , 10.1016/J.SYSCONLE.2004.06.003
Izumi Masubuchi, Yoshiyuki Kamitane, Atsumi Ohara, Nobuhide Suda, H ∞ control for descriptor systems: a matrix inequalities approach Automatica. ,vol. 33, pp. 669- 673 ,(1997) , 10.1016/S0005-1098(96)00193-8
Kathryn Eleda Brenan, Linda Ruth Petzold, S. L. Campbell, Numerical solution of initial-value problems in differential-algebraic equations ,(1987)