Nonlinear L2-gain Suboptimal Control,

A method of solving the nonlinear local L2-gain suboptimal control problem based on the chain-scattering approach is proposed. This problem requires the L2-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 a 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 L2-gain suboptimal problem. The design procedure is demonstrated with a numerical example. © 1997 Elsevier Science Ltd.

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