ℋ_∞ filtering for discrete-time affine non-linear descriptor systems

Author(s): M.D.S. Aliyu and M. Perrier
DOI: 10.1049/iet-cta.2011.0281

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Author(s): M.D.S. Aliyu ¹ and M. Perrier ¹
- Affiliations: 1: Departments of Mechanical and Chemical Engineering, École Polytechnique dé Montréal, Montreal, Canada
Source: Volume 6, Issue 6, 12 April 2012, p. 787 – 795
DOI: 10.1049/iet-cta.2011.0281 , Print ISSN 1751-8644, Online ISSN 1751-8652

In this study, the authors consider the ℋ_∞-filtering problem for discrete-time affine non-linear descriptor systems. Two types of filters are discussed; namely, (i) singular, (ii) normal and sufficient conditions for the solvability of the problem in terms of disrete-time Hamilton–Jacobi–Isaacs equations (DHJIEs) are presented. The results are also specialised to linear systems, in which case the DHJIEs reduce to a system of linear-matrix-inequalities (LMIs). Examples are also presented to illustrate the results.

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ℋ∞ filtering for discrete-time affine non-linear descriptor systems

ℋ∞ filtering for discrete-time affine non-linear descriptor systems

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ℋ_∞ filtering for discrete-time affine non-linear descriptor systems

ℋ_∞ filtering for discrete-time affine non-linear descriptor systems