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提出了一种基于干扰观测器的奇异系统鲁棒H∞控制方法.外部干扰广泛存在于奇异系统中,为了降低其对系统的影响,设计了一种奇异系统干扰观测器以估计系统干扰.然后给出闭环系统相容的条件,设计一种基于干扰观测器的鲁棒控制器,并基于李雅普诺夫稳定性理论证明了闭环系统的渐近稳定性,通过设计指标函数得到闭环系统具有鲁棒性能的条件.相对于传统鲁棒控制方法,基于干扰观测器的方法降低了系统设计的保守性.最后,通过仿真实验验证了所提出方法的正确性和有效性.
A robust H∞ control method based on disturbance observer is proposed for singular systems based on disturbance observers. External disturbances exist widely in singular systems. To reduce its influence on the system, a singular system disturbance observer is designed to estimate the system disturbance. Then The closed-loop system is given a compatible condition. A robust controller based on disturbance observer is designed. Based on Lyapunov stability theory, the asymptotic stability of the closed-loop system is proved. By designing the index function, the closed-loop system is robust Compared with the traditional robust control method, the interference observer-based method reduces the conservativeness of the system design.Finally, the simulation results verify the validity and validity of the proposed method.