考虑不确定扰动的欠驱动船舶鲁棒自适应有限时间控制

    Robust adaptive finite-time trajectory tracking of underactuated ship

    • 摘要: 针对欠驱动水面船舶遭受的系统动态不确定性影响和外界干扰问题,设计一种有限时间轨迹跟踪控制方案。该方案将系统动态影响和外界扰动的不确定性耦合成可转化为单参数线性化形式的复合向量,并设计自适应控制律来逼近复合向量的上界,从而简化计算复杂度。为提高轨迹跟踪控制的快速收敛性和强抗干扰能力,考虑有限时间控制的设计思路,在虚拟控制变量和控制律中设计有限时间函数,通过Lyapunov理论分析该控制律的稳定性,并通过对比仿真试验验证方案的有效性。结果表明:该方案可为智能船舶自主航行提供理论支撑。

       

      Abstract: A finite-time trajectory tracking controller is developed to overcome the impact of dynamic uncertainties and external disturbance charactering underactuated surface ships. The design transforms the system dynamic uncertainty and external disturbance into a compound vector in single parameter linear form and devises an adaptive control law to approximate the upper bound of the vector, which effectively simplifies the calculation. The virtual control variables and control law are designed in the form of finite-time function for better convergence rate and noise immunity. The stability of the system is examined with Lyapunov stability theory. The effectiveness of the controller is verified through simulation.

       

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