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Xiaoheng CHANG,Guanghong YANG.[en_title][J].Control Theory and Technology,2013,11(1):122~127.[Copy]
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XiaohengCHANG,GuanghongYANG
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(College of Engineering, Bohai University;Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and College of Information Science and Engineering, Northeastern University)
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Received:April 06, 2011Revised:September 28, 2011
基金项目:This work of X. CHANG was partly supported by the Scientific Research Program for the Education Department of Liaoning Province of China (No. 2008017), the Postdoctoral Science Foundation of China (No. 20090451275), and the Funds of National Science of China (No. 61104071).
Robust H-infinity filtering for uncertain discrete-time systems using parameter-dependent Lyapunov functions
Xiaoheng CHANG,Guanghong YANG
(College of Engineering, Bohai University;Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and College of Information Science and Engineering, Northeastern University)
Abstract:
This paper deals with H-infinity filtering of discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. By using the parameter-dependent Lyapunov function approach and introducing some slack matrix variables, a new sufficient condition for the H-infinity filter design is presented in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing results for H-infinity filter design, the main advantage of the proposed design method is the reduced conservativeness. An example is provided to demonstrate the effectiveness of the proposed method.
Key words:  Discrete-time systems  H-infinity filtering  Parameter-dependent Lyapunov function  Linear matrix inequalities(LMIs)