摘要
为了证明前馈反馈控制策略在保持带扰动系统稳定性的可行性,以带有扰动的Euler-Bernoulli方程为例,通过设计同时带有前馈控制和反馈控制的控制策略,使系统保持稳定。首先,设置了一个高增益评估器来估计扰动。然后使用前馈控制u1(t)=-r(t)来减弱扰动对欧拉梁系统稳定性的影响。其次,使用反馈控制u_2(t)=kw_t(1,t)使系统保持稳定,并使用乘子法证明系统的稳定性。
In order to study the effective of the feedback and feedforward strategy,we consider the stabilization of a one-dimension Euler-Bernoulli beam with unknown disturbance at the control end.Firstly,one high-gain estimator is designed to detect the disturbance.The feedforward control u(t) =-r(t)is given based on the estimator.Secondly,we utilize the feedback control u(t) =-kw_t(1,t) to make the system stable.The Lyapunov function method is used to prove the stability of the system.
引文
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