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对于连续时间系统的多目标H2/H∞控制问题,通过状态反馈给出了一个新的综合方法,该方法通过引入附加变量,降低通常条件基于LMI的多目标控制问题的保守性。新方法应用消去定理得出扩展的H2性能和H∞性能的LMI约束条件,使得与控制器参数相关的优化变量和系统矩阵之间是独立的,能够使用不同的Lyapunov矩阵变量来处理多目标控制问题。
For the multi-objective H2 / H∞ control problem of continuous-time systems, a new synthesis method is proposed by using state feedback. This method reduces the generalized LMI-based multi-objective control problem by introducing additional variables. The new method uses the elimination theorem to derive the LMI constraints of extended H2 performance and H∞ performance such that the optimal variables associated with the controller parameters and the system matrix are independent and different Lyapunov matrix variables can be used to handle the multi-objective control problem.