Abstract
In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini–Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via linear matrix inequality techniques. This is subsequently applied to solve, for the first time, various 2-D disturbance decoupling problems subject to a closed-loop stability constraint.
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Ntogramatzidis, L., Cantoni, M. & Yang, R. A geometric theory for 2-D systems including notions of stabilisability. Multidim Syst Sign Process 19, 449–475 (2008). https://doi.org/10.1007/s11045-007-0046-8
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DOI: https://doi.org/10.1007/s11045-007-0046-8