论文标题
基于干扰观察者的边界控制，用于反稳定的随机热方程，并具有未知干扰
Disturbance Observer-Based Boundary Control for an Anti-Stable Stochastic Heat Equation with Unknown Disturbance
论文作者
论文摘要
在本文中，新的控制策略，即基于干扰观察者的控制首先应用于具有诺伊曼边界驱动的反稳定随机热方程和外源系统产生的未知边界外部干扰的稳定和干扰排斥。基于干扰观察者的边界控制是基于反向替代方法和估计/取消策略而设计的，其中未知的干扰是通过干扰观察者实时估计的，并在闭环中被拒绝，而在已知的有限间隔内的强度则在闭环中被拒绝。结果表明，所得的闭环系统在卑鄙的方面和几乎肯定的意义上都是指数稳定的。证明了一个数值示例来验证所提出的控制方法的有效性。
In this paper, a novel control strategy namely disturbance observer-based control is first applied to stabilization and disturbance rejection for an anti-stable stochastic heat equation with Neumann boundary actuation and unknown boundary external disturbance generated by an exogenous system. A disturbance observer-based boundary control is designed based on the backstepping approach and estimation/cancellation strategy, where the unknown disturbance is estimated in real time by a disturbance observer and rejected in the closed-loop, while the in-domain multiplicative noise whose intensity is within a known finite interval is attenuated. It is shown that the resulting closed-loop system is exponentially stable in the sense of both mean square and almost surely. A numerical example is demonstrated to validate the effectiveness of the proposed control approach.
