二阶系统的最优非线性阻尼控制
Optimal nonlinear damping control of second-order systems
摘要：
针对二阶系统提出了一种新的非线性阻尼控制方法。比例输出反馈与阻尼项相结合，阻尼项是输出导数的二次函数，与设定点距离成反比。证明了算法的全局稳定性、无源性、收敛时间和精度。还明确分析了控制饱和的情况。建议的非线性阻尼表示为最佳的，因为不需要设计额外的参数，并确保快速收敛，没有瞬态过冲的非饱和和一个瞬态过冲的饱和控制配置。
英文摘要：
Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global stability, passivity property, and convergence time and accuracy are demonstrated. Also the control saturation case is explicitly analyzed. The suggested nonlinear damping is denoted as optimal since requiring no design additional parameters and ensuring a fast convergence, without transient overshoots for a non-saturated and one transient overshoot for a saturated control configuration.
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