论文标题
无法控制系统的不匹配干扰拒绝控制的方法
An Approach to Mismatched Disturbance Rejection Control for Uncontrollable Systems
论文作者
论文摘要
这项研究着重于无法控制线性离散时间系统的最佳不匹配干扰排斥控制控制的问题。与以前的研究相反，通过引入二次性能指数，以使受调节状态可以跟踪参考轨迹并最大程度地减少干扰的影响，将不匹配的干扰排斥控制转换为线性二次跟踪问题。通过求解向前的差异方程，得出了在有限的视野和干扰拒绝控制器上解决此问题的必要条件。在无限视野的情况下，在可检测的条件下获得了足够的系统稳定条件。本文详细介绍了我们新颖的干扰拒绝方法。提供了四个示例以证明所提出的方法的有效性。
This study focuses on the problem of optimal mismatched disturbance rejection control for uncontrollable linear discrete-time systems. In contrast to previous studies, by introducing a quadratic performance index such that the regulated state can track a reference trajectory and minimize the effects of disturbances, mismatched disturbance rejection control is transformed into a linear quadratic tracking problem. The necessary and sufficient conditions for the solvability of this problem over a finite horizon and a disturbance rejection controller are derived by solving a forward-backward difference equation. In the case of an infinite horizon, a sufficient condition for the stabilization of the system is obtained under the detectable condition. This paper details our novel approach to disturbance rejection. Four examples are provided to demonstrate the effectiveness of the proposed method.
