Automatica, Vol.33, No.7, 1247-1262, 1997
Nonlinear L-2-Gain Suboptimal Control
A method of solving the nonlinear local L-2-gain suboptimal control problem based on the chain-scattering approach is proposed. This problem requires the L-2-gain of the closed loop to be less than one and closed-loop internal stability defined in the small-signal input-output sense. We obtained sufficient conditions for the existence of suboptimal controller in terms of a state-space description of the plant as well as a local state-space parameterization of a class of controllers solving the local L-2-gain suboptimal problem. The design procedure is demonstrated with a numerical example.