Semi-Global L2 Gain Analysis of Linear Systems with Self-Scheduling Parameters
Takehito AZUMA, Ryo WATANABE, Kenko UCHIDA
In this paper, we consider semi-global L2 gain analysis for nonlinear systems described as linear systems with self-scheduling parameters. First we show a method to convert linear systems with self-scheduling parameters into linear systems with scheduling parameters based on evaluation of the domain of the self-scheduling parameters. Second, using the tools for linear systems with scheduling parameters, we discuss semi-global L2 gain analysis for the nonlinear systems and propose an approach together with feasible formulas of computation, which provides a solution to the so-called hidden loop problem in gain scheduling. Finally, we show numerical examples.