论文标题
线性凸线最佳稳态控制的低增益稳定器
Low-Gain Stabilizers for Linear-Convex Optimal Steady-State Control
论文作者
论文摘要
我们考虑了设计反馈控制器的问题，该反馈控制器在存在未衡量的干扰的情况下可牢固地调节LTI系统为最佳操作点。以前针对此类问题提出了基于所谓最佳模型的一般设计框架，从而有效地将问题降低到了相关的非线性植物的稳定性问题。本文介绍了几种简单且完全建设性的稳定器设计，以伴随[1]的最佳模型设计。这些设计基于低增益积分控制方法，该方法实施了指数稳定的工厂和控制器之间的时间尺度分离。我们为控制器和增益提供明确的公式，以及基于LMI的方法来计算健壮/最佳增益。结果通过学术示例和电源系统频率控制的应用进行说明。
We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was previously put forward for this class of problems, effectively reducing the problem to that of stabilization of an associated nonlinear plant. This paper presents several simple and fully constructive stabilizer designs to accompany the optimality model designs from [1]. The designs are based on a low-gain integral control approach, which enforces time-scale separation between the exponentially stable plant and the controller. We provide explicit formulas for controllers and gains, along with LMI-based methods for the computation of robust/optimal gains. The results are illustrated via an academic example and an application to power system frequency control.
