摘要：AbstractThis paper considers the L2gain analysis of a smooth discrete-time nonlinear system. The analysis hinges on a piecewise affine approximation, where we partition the state-space into a few polyhedral cells. In each polyhedral cell, the nonlinear system is approximated by a piecewise affine system. To begin with, conditions are derived such that the L2gain of the nonlinear system is less than or equal to a given γ > 0. Then anH∞controller is designed which guarantees that the resulting closed-loop system has an L2gain that is less than or equal to a prescribed value γ > 0 while maintaining stability.
