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本文利用ＬＱ最优和次最优调节器的新结果，提出一种兼有鲁棒性和最优性的线性状态反馈控制器的综合方法，该方法在保证某个具有相对稳定度的二次型积分指标次最优的前提下使闭环系统矩阵Ａ－ＢＦ的Ｆｒｏｂｅｎｉｕｓ范数达到最小．仿真结果证实了该方法的有效性。
In this paper, we use the new results of LQ optimal and suboptimal regulators to propose an integrated approach for both linear and state feedback controllers that have both robustness and optimality. This method guarantees that a quadratic The Frobenius norm of the closed-loop system matrix A-BF is minimized under the condition that the integral index is suboptimal. Simulation results confirm the effectiveness of this method.