中文摘要：

通过扩展的线性矩阵不等式（LMI）方法,提出了连续系统混合H2/H∞状态反馈控制综合方法.该方法通过引入新的附加变量,在不影响李雅普诺夫变量的基础上实现对控制器参数的优化设计.利用这一特点,可以使用不同的李雅普诺夫变量来设计多目标控制器,通过综合混合H2/H∞指标设计了一个状态反馈控制器.算例仿真验证了该方法较单一李雅普诺夫变量方法具有更低的保守性.

英文摘要：

A new approach for mixed H2/H∞ multi-objective state feedback controller synthesis for continuous-time system was established through dilated linear matrix inequalities （LMI）.The proposed approach can parameterize the controllers without involving the Lyapunov variables in the parameterization.Taking advantage this feature,multi-objective controller with non-common Lyapunov variables was designed.A state feedback control law was obtained by synthesize mixed H2/H∞ performance with the approach.A practical design example illustrates that the proposed approach has less conservation than the approach with common Lyapunov variables.