Abstract: In the actual systems, due to the computation accuracy or parameter drift affecting the controllers, the control effect of the original design would be inevitably destroyed. To deal with this problem, the nonfragile guaranteed cost control of singular Markov jump system with time delays was considered. Under the conditions of perturbation with addition and multiplication properties, the sufficient existence conditions for control gain were expressed by linear matrix inequalities respectively. In the case, the guaranteed cost control of singular Markov jump system with timedelay could be achieved. Finally, the effectiveness of the method was verified by a numerical example.

Key words: Singular Markovian jump system, Time delay, Nonfragile, Guaranteed cost control, Linear matrix inequality

摘要： 在实际控制系统中, 计算精度或者参数漂移等因素对控制器产生影响, 使控制器本身具有不确定性,破坏了原有设计的控制效果, 针对这一问题, 对时滞广义 M a r k o v系统进行了非脆弱保成本控制的研究。控制器增益具有加法摄动和乘法摄动两种情况, 以线性矩阵不等式的形式给出了在两种情况下非脆弱控制器增益的求解方
法, 实现对时滞广义 M a r k o v系统的保成本控制。最后, 利用数值例子验证了算法的有效性。

关键词: 广义 M a r k o v系统 ,  , 时滞 ,  非脆弱 ,  , 保成本控制 线性矩阵不等式