Central suboptimal H∞ filter design for linear time-varying systems with state delay

• Main Authors: Basin, M., Peng Shi, Calderon-Alvarez, D., Jianfei Wang
• Format: Conference Proceeding
• Language: English
• Subjects: Attenuation; Centralized control; Control systems; Delay effects; Delay systems; Equations; Filtering; H infinity control; Linear systems; Nonlinear filters
• ISSN: 0743-1619; 2378-5861
• DOI: 10.1109/ACC.2008.4586456

This paper presents the central finite-dimensional H infin filters for linear systems with state delay, that are suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the results previously obtained for linear time delay systems, the paper reduces the original H infin filtering problems to H 2 (optimal mean-square) filtering problems, using the technique proposed in [1]. The paper first presents the central suboptimal H infin filter for linear systems with state delay, based on the optimal H 2 filter from [37], which contains a finite number of the filtering equations for any fixed filtering horizon, but this number grows unboundedly as time goes to infinity. To overcome that difficulty, the alternative central suboptimal H infin filter is designed for linear systems with state delay, which is based on the alternative optimal H 2 filter from [38]. Numerical simulations are conducted to verify performance of the designed central suboptimal filters for linear systems with state delay against the central suboptimal H infin filter available for linear systems without delays.