基于干扰观测器的一类奇异系统H∞控制

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.

H-infinity control for a class of singular systems via disturbance observer based control method

A new H-infinity control method for singular systems via disturbance observer based control (DOBC) is proposed. External disturbance widely exist in singular systems, to reduce their effect on system performance, a disturbance observer is constructed for singular systems to estimate disturbance and parameters perturbation within the system, the convergence of disturbance observer is guaranteed by singular system admissibility principle. Then, the robust controller based on the disturbance observer is proposed, the stability and robust capability of the system is guaranteed by Lyapunov stability theory, the condition of closed loop stable system to have robust capability is derived by designed index function. Compared with the traditional robust method, the DOBC method is less conservative. Finally, an example is given to show the correctness and effectiveness of proposed method.