摘要
针对一类状态矩阵、控制输入矩阵及关联矩阵存在数值界不确定性关联大系统,研究其分散鲁棒H2/H∞状态反馈控制问题.基于有界实引理提出了存在分散鲁棒H2/H∞状态反馈控制器的参数化定理和两种LMI设计方法:直接LMI方法和迭代LMI,并用实例说明了这2种方法的有效性.理论和实验结果表明,所获得的控制器具有块对角结构,闭环大系统稳定且能优化闭环传递函数的H2/H∞性能指标.
The problem of robust decentralized H2/H∞ state feedback control for large-scale interconnected systems with value bounded uncertainties existing in the state, control input and interconnected matrices is investigated. Based on the bounded real lemma, the parametrization theorem for a decentralized robust H2/H∞ state feedback controller is addressed and two LMI methods are proposed to solve the problem： the direct LMI approach and iterative LMI（ILMI） approach. At last an example is given to demonstrate the effectiveness of two LMI methods. The theory and simulation shows that the controller obtained has the block diagonal structure, enables the closed-loop large-scale interconnected system asymptotically stable and offers an optimized H2/H∞ perform index.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2006年第2期102-107,共6页
Systems Engineering-Theory & Practice
基金
国家自然科学基金(60474003)
