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利用确定性鲁棒控制方法对参数摄动的最坏情况进行研究,设计出的控制器具有较大的保守性和较高的控制成本.针对这一问题,建立范数有界型参数不确定性系统模型,分析系统性能的置信概率与参数不确定性随机向量的范数边界之间的关系,提出一种基于概率估计的鲁棒H∞控制方法,该方法能以有限的迭代步数给出一个与系统性能置信概率相关的鲁棒H∞控制器的可行解.最后通过仿真实例验证了所提出方法的有效性.
The deterministic robust control method is used to study the worst case of parameter perturbation, and the designed controller is more conservative and has higher control cost.In view of this problem, the establishment of norm-bounded parameter uncertainty This paper presents a robust H∞ control method based on probability estimation, which can be used with a limited number of iterations A feasible solution of the robust H∞ controller is proposed, which is related to the confidence of the system performance. Finally, the simulation results show the effectiveness of the proposed method.