On the nonstandard nonlinear H{sub}∞ control problem

摘要

Sufficient conditions of the nonstandard nonlinear H{sub}∞ control problem are provided. This problem needs not to satisfy the rank condition of the direct-through matrices from the controlled input to the regulated output and from the disturbance to the measured output. First, we present a feedback law via state feedback. Next, a feedback law via output feedback and an observer gain are given. It is shown by extending the result of the linear system to the nonlinear system.