摘要
针对一类具有外部扰动输入的不确定奇异周期系统,研究了该类系统的鲁棒容错H∞控制的问题,其中不确定性存在于系统的状态矩阵和输入矩阵当中,且满足范数有界条件。利用线性矩阵不等式(LMI)和李雅普诺夫不等式的分析方法提出了不确定奇异周期系统的鲁棒二次稳定和鲁棒二次可镇定且具有H∞性能指标的概念,得到了该类系统鲁棒容错H∞控制的充分和必要条件,并给出了系统状态反馈鲁棒容错H∞控制器的设计方法,所设计的H∞控制器既保证了闭环系统对故障发生时的鲁棒性,又能保证系统满足一定的H∞性能γ。研究成果是不确定奇异定常系统鲁棒容错H∞控制结论向不确定奇异周期系统的推广,因而具有较大的理论意义。最后,文章给出的数值算例证明了结论的有效性。
The problem of robust fault-tolerant H∞control for a class of uncertain the time-varying periodic singular systems with the external disturbance input is considered.The uncertainties are satisfied the so-called norm-bounded conditions exist in state matrices and output matrices.By using analysis method of inequalities of linear matrix and Lyapunov inequalities,the concept of robust stability and robust stabilization for the uncertain time-varying periodic singular systems was put forward,the necessary and sufficient conditions of robust fault--tolerant H∞control and design methods of robust fault-tolerant H∞controller are obtained.The closed-loop system satisfies a given H∞ performance γ for all fault under this H∞controller.The conclusion of robust fault-tolerant H∞ control research achievements are natural extend from time-invariant singular systems to the time-varying periodic singular systems.Finally,a numerical example is given to illustrate the effectiveness of the obtained conclusions.
出处
《控制工程》
CSCD
北大核心
2014年第S1期33-36,共4页
Control Engineering of China
基金
国家自然科学基金(610740005)
关键词
奇异周期系统
容错
H∞控制
线性矩阵不等式
李雅普诺夫不等式
time-varying periodically singular systems
fault-tolerant
H∞ control
linear matrix inequalities
Lyapunov inequalit
