Design of reduced-order H∞ filtering for Markovian jump systems with mode-dependent time delays

Authors:
Guoliang Wang;Qingling Zhang;Victor Sreeram
Affiliations:
Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, PR China and Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern Univ ...;Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, PR China and Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern Univ ...;Department of Electrical and Electronic Engineering, University of Western Australia, 35 Stirling Highway Crawley, Western Australia 6009, Australia
Venue:
Signal Processing
Year:
2009

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Abstract

This paper is concerned with the reduced-order H"~ filtering problem for Markovian jump systems with time delays, which are time-varying and depend on the system mode. Sufficient conditions for the existence of the reduced-order H"~ filtering are provided in terms of linear matrix inequalities (LMIs) with equality constraints. It is shown that the conditions for the existence of zeroth-order H"~ filtering can be expressed by LMIs without any equality constraints. A globally convergent algorithm involving LMIs based on the sequential linear programming matrix is suggested to solve the matrix inequalities characterizing the filtering solutions. Using the numerical solutions of the matrix inequalities, a reduced-order filtering with error less than some prescribed scalar can be computed. Finally, an illustrative example is presented to show the effectiveness of the proposed approach.