Abstract
This paper deals with output feedback stabilization and H ∞ control problems for two-dimensional (2-D) discrete linear systems without or with parameter uncertainty. The class of systems under investigation is described by the 2-D local state space Fornasini-Marchesini second model. We aim at designing a dynamical output feedback controller to achieve asymptotic stability and H ∞ performance for the 2-D system. It is shown that the design of output feedback controller can be recast into a convex optimization problem characterized by linear matrix inequalities (LMIs). The LMI solution is further extended to solve the robust stabilization problem for 2-D systems subject to norm-bounded uncertainty. The solutions for the H ∞ control and robust stabilization are applied to two application examples: thermal process control and robust stabilization of processes in Darboux equation.
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Xie, L., Du, C., Soh, Y.C. et al. H ∞ and Robust Control of 2-D Systems in FM Second Model. Multidimensional Systems and Signal Processing 13, 265–287 (2002). https://doi.org/10.1023/A:1015808429836
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DOI: https://doi.org/10.1023/A:1015808429836