This paper proposes a generalized design methodology of a robust controller to mitigate the impact of system uncertainty on controller stability and performance which includes steady-state error, disturbance rejection, high-frequency noise attenuation and speed of dynamic response. The first step is to select the weighting functions that bound the transfer functions for the entire range of uncertainty. The second step is to form mathematical representation for both robust stability and robust performance. The third step is to conduct the robust H-infinity controller synthesis to generate the full-order controller, and then carry out order reduction and recheck of the design objectives. The last step is to select an optimized controller based on the multi-dimensional Pareto Front algorithm. The proposed method has been firstly applied to the current controller design of a grid-connected inverter with variable grid impedance, and secondly to the voltage controller design of an LLC resonant DC/DC converter with variable resonant capacitance. The results indicate that the selected optimal H-infinity controller has an overall more satisfactory performance in terms of stability, steady-state error, disturbance/noise rejection capability and dynamic performance, compared with conventional PI and PR controllers when there is a large variation of system parameters.

中文翻译：

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解决系统不确定性挑战的稳健控制器设计方法

本文提出了一种鲁棒控制器的广义设计方法，以减轻系统不确定性对控制器稳定性和性能的影响，包括稳态误差、干扰抑制、高频噪声衰减和动态响应速度。第一步是为整个不确定性范围选择限制传递函数的加权函数。第二步是形成稳健稳定性和稳健性能的数学表示。第三步是进行鲁棒H-infinity控制器综合生成全阶控制器，然后进行降阶和设计目标的复核。最后一步是基于多维 Pareto Front 算法选择一个优化的控制器。该方法首先应用于具有可变电网阻抗的并网逆变器的电流控制器设计，其次应用于具有可变谐振电容的 LLC 谐振 DC/DC 转换器的电压控制器设计。结果表明，与传统的 PI 和 PR 控制器相比，选择的最优 H-infinity 控制器在稳定性、稳态误差、干扰/噪声抑制能力和动态性能方面具有更令人满意的整体性能。系统参数。