Nonlinear H∞ Control of Homogeneous Systems via Output Feedback
XI Zairong
HONG Yiguang
CHENG Daizhan
Abstract：The nonlinear H∞ control problem of homogeneous systems via output feedback is considered.First of all, the relation between the homogeneous stabilizability and the quadratic Lyapunov function is given. Based on the results via state feedback and some properties related to detectability, the problem of H∞ control of homogeneous systems via output feedback is discussed.A global control law via output feedback is proposed under certain assumptions, which are consistent with the linear system case, when the considered system is linear. Then, a similar result of homogeneous systems with higher degree perturbed terms are also obtained.
Keywords：nonlinear H∞ controlhomogeneous systemsoutput feedback
Publication Date：2000-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 313-316 )