A geometric theory for 2-D systems including notions of stabilisability

作者：Ntogramatzidis, Lorenzo^*; Cantoni, Michael; Yang, Ran

来源：Multidimensional Systems and Signal Processing, 2008, 19(3-4): 449-475.

DOI：10.1007/s11045-007-0046-8

• 2-D Fornasini-Marchesini models
• controlled invariance
• output-nulling subspaces
• internal/external stabilisation
• disturbance decoupling problems

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.

• 出版日期2008-12
• 单位中山大学