【摘要】 研究了齐次系统H∞ 控制的输出反馈问题 .首先给出齐次镇定与二次型Lyapunov函数之间的关系 .随后讨论了齐次系统H∞ 控制的输出反馈问题 .在适当条件下 ,给出了全局解 .然后考虑了具有高阶扰动项的齐次系统 ,对此系统也得到了与无扰动项时的相似结论 .更多还原

【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.更多还原