摘要
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 analyze the worst case of parameter perturbation, which leads to overly conservativeness and high control effort of the designed controller. By considering these problems, the model of norm-bounded parameter uncertainty system is established; the relationship between the confidence probability of system performance and the norm-bound of parameter uncertainty random vector is analyzed; the robust H∞control method based on probability estimation is proposed, which can provide a feasible solution of robust H∞ controller with related confidence probability of system performance in a finite number of steps. Finally, the simulation example validates the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2014年第7期1301-1305,共5页
Control and Decision
关键词
范数有界
参数不确定性
置信概率
H∞控制
概率鲁棒性
norm-bounded, parameter uncertainties
confidence probability
H∞ control
probabilistic robustness
