Abstract
Under the assumption of nonexistence of the jump-mode, this paper gives a simple form of a large class of 2-D singular systems. This class of systems includes all the systems resulted from the linear state transformations of 2-D singular Roesser models and hence we called it the extended singular Roesser models. The criteria are presented for testing that via some suitable invertible linear state transformations, the given 2-D singular systems in the extended Roesser models can be converted equivalently to the classical Roesser models. Some results on 2-D classical singular Roesser model such as the reduced order regular observer and compensator design are generalized to the extended models.
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Zou, Y., Wang, W. & Xu, X. The state observer and compensator of a large class of 2-D acceptable singular systems. Multidim Syst Sign Process 19, 139–155 (2008). https://doi.org/10.1007/s11045-007-0035-y
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DOI: https://doi.org/10.1007/s11045-007-0035-y