论文标题
非线性系统的低增益积分控制器的分析和合成
Analysis and Synthesis of Low-Gain Integral Controllers for Nonlinear Systems
论文作者
论文摘要
放宽条件以稳定性的稳定性，该反馈系统由指数稳定的多输入多输出非线性工厂和整体控制器组成。大致说明，据表明，如果植物平衡输入输出图的组成和积分反馈增益是无限的收缩，则如果积分增益足够低，则闭环系统是指数稳定的。用AC电源系统的频率控制产生的应用来说明主要结果。我们演示了如何通过半决赛编程来计算收缩条件，以及如何通过凸优化合成积分增益矩阵，以在存在非线性和不确定性的情况下实现稳健的L2性能。
Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant equilibrium input-output map and the integral feedback gain is infinitesimally contracting, then the closed-loop system is exponentially stable if the integral gain is sufficiently low. The main result is illustrated with an application arising in frequency control of AC power systems. We demonstrate how the contraction condition can be checked computationally via semidefinite programming, and how integral gain matrices can be synthesized via convex optimization to achieve robust L2 performance in the presence of nonlinearity and uncertainty.
