Based on the improved interval extension, a robust optimization method for nonlinear monostable energy harvesters with uncertainties is developed. In this method, the 2nd order terms in the interval extension formula of the objective function (output voltage) are kept so this approach is suitable for a nonlinear energy harvesting system. To illustrate this method, uncertain mass, uncertain capacitance and uncertain electromechanical coupling coefficient are optimized to maximize the central point of output voltage whose deviation of which is simultaneously minimized. Then, an optimal design with different robustness is obtained. The results also show that the robustness of the optimal design of nonlinear monostable energy harvesters is increased, but the cost of performance has to be paid for. Overall, the framework provides the optimal design for nonlinear energy harvesters (monostable, bistable, tristable, multistable harvesters).

中文翻译：

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具有不确定性的非线性单稳态能量采集器的鲁棒设计优化

基于改进的区间扩展，开发了具有不确定性的非线性单稳态能量采集器的鲁棒优化方法。在此方法中，保留了目标函数（输出电压）的间隔扩展公式中的二阶项，因此该方法适用于非线性能量收集系统。为了说明该方法，优化了不确定质量，不确定电容和不确定机电耦合系数，以最大化输出电压的中心点，同时将其偏差最小化。然后，获得具有不同鲁棒性的最优设计。结果还表明，非线性单稳态能量采集器的优化设计具有更高的鲁棒性，但必须付出性能成本。总体，