We propose a novel method for constructing probabilistic robust disturbance rejection control for uncertain systems in which a scenario optimization method is used to deal with the nonlinear and unbounded uncertainties. For anti-disturbance, a reduced order disturbance observer is considered and a state-feedback controller is designed. Sufficient conditions are presented to ensure that the resulting closed-loop system is stable and a prescribed $ H_{\infty} $ performance index is satisfied. A numerical example is presented to illustrate the effectiveness of the techniques proposed and analyzed.

中文翻译：

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不确定系统的概率鲁棒抗扰控制

我们提出了一种为不确定系统构建概率鲁棒抗扰控制的新方法，其中使用场景优化方法来处理非线性和无界不确定性。对于抗干扰，考虑了降阶干扰观测器并设计了状态反馈控制器。提供了足够的条件来确保所产生的闭环系统是稳定的，并且满足规定的 $H_{\infty} $ 性能指标。给出了一个数值例子来说明所提出和分析的技术的有效性。