Algebraic conditions for state equivalence to a discrete-time nonlinear observer canonical form

作者：Lee Hong Gi^*; Hong Jin Man

来源：Systems & Control Letters, 2011, 60(9): 756-762.

DOI：10.1016/j.sysconle.2011.06.001

• Nonlinear observer canonical form
• Discrete-time non-autonomous systems
• State equivalence
• Algebraic conditions
• Output transformation

Algebraic necessary and sufficient conditions for a single output discrete-time system to be state equivalent to a (generalized) nonlinear observer canonical form with (or without) output transformation are derived. Our algebraic conditions are easier to verify for researchers unaccustomed to differential geometry. In addition, our proofs are constructive and contain the state and output transformations for (generalized) nonlinear observer canonical forms.

• 出版日期2011-9