论文标题
重新审视各向异性规范设置中的静态输出反馈
Static Output Feedback in an Anisotropic Norm Setup Revisited
论文作者
论文摘要
重新审视了Anistropic-Norm设置中静态输出反馈控制器的合成问题。提出了一种涉及凸优化问题的涉及迭代的可进行的合成方法，与Hinfinity-Norm最小化情况的现有结果相似。结果是由几个线性矩阵不等式通过双线性平等耦合的，如在Hinfinity情况下，揭示了控制型和滤波类型LMI之间的二元性，并允许使用可拖动的迭代方法与实用的静态输出反馈合成问题来应对。然后将最终的优化方案应用于飞行控制问题，在此问题中，各向异性规范设置的优点被证明可以在闭环响应和反馈收益之间提供有用的权衡。
The synthesis problem of static output feedback controllers within the anistropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimization problem is suggested, similarly to existing results for the Hinfinity-norm minimization case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the Hinfinity case, the duality between the control-type and filtering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimization scheme is then applied to a flight control problem, where the merit of the anisotropic norm setup is shown to provide a useful trade-off between closed loop response and feedback gains.
