ℋ∞ Filter Design with Minimum Entropy for Continuous-Time Linear Systems. (5th December 2013)

• Record Type: Journal Article
• Authors: Zhang, Jie; Karimi, Hamid Reza; Zheng, Zhong; Lyu, Ming; Bo, Yuming
• Other Names: Feng Zhiguang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-12-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/579137
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We deal with the design problem of minimum entropy ℋ ∞ filter in terms of linear matrix inequality (LMI) approach for linear continuous-time systems with a state-space model subject to parameter uncertainty that belongs to a given convex bounded polyhedral domain. Given a stable uncertain linear system, our attention is focused on the design of full-order and reduced-order robust minimum entropy ℋ ∞ filters, which guarantee the filtering error system to be asymptotically stable and are required to minimize the filtering error system entropy (at s 0 = ∞ ) and to satisfy a prescribed ℋ ∞ disturbance attenuation performance. Sufficient conditions for the existence of desired full-order and reduced-order filters are established in terms of LMIs, respectively, and the corresponding filter synthesis is cast into a convex optimization problem which can be efficiently handled by using standard numerical software. Finally, an illustrative example is provided to show the usefulness and effectiveness of the proposed design method.