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运用高增益方法、几何齐次理论、李雅普诺夫理论和有限时间稳定理论,研究了一类单输入单输出非线性系统的全局有限时间输出反馈控制问题,设计了由线性部分和非线性部分构成的输出反馈控制器。其中,线性部分的作用是确保闭环系统的零解是全局渐近稳定的,而非线性部分的作用是确保闭环系统的零解是局部有限时间稳定的。最后,仿真实例验证了所设计的控制器的有效性。
Using the high-gain method, geometric homogeneous theory, Lyapunov theory and finite-time stability theory, the global finite-time output feedback control problem for a class of single-input single-output nonlinear systems is studied. The linear- Output feedback controller. Among them, the linear part of the role is to ensure that the closed-loop system zero solution is globally asymptotically stable, while the non-linear part of the role is to ensure that the zero-solution of the closed-loop system is locally finite time-stable. Finally, simulation examples verify the effectiveness of the designed controller.