Robust regulation of SISO systems : the fractional ideal approach

P. Laakkonen (1) , Alban Quadrat (2)

1 TUT - Tampere University of Technology [Tampere]
2 DISCO - Dynamical Interconnected Systems in COmplex Environments

We solve the robust regulation problem for single-input single-output plants by using the fractional ideal approach and without assuming the existence of coprime factorizations. In particular, we are able to formulate the famous internal model principle for stabilizable plants which do not necessarily admit coprime factorizations. We are able to give a necessary and sufficient solvability condition for the robust regulation problem, which leads to a design method for a robustly regulating controller. The theory is illustrated by examples.

Domains: Computer Science [cs]; Computer Science [cs]; Symbolic Computation [cs.SC]

P. Laakkonen, Alban Quadrat. Robust regulation of SISO systems : the fractional ideal approach. 2015 SIAM Conference on Control and its Applications , Jul 2015, Paris, France. ⟨10.1137/1.9781611974072.43⟩. ⟨hal-01259973⟩