H_2/H_∞双重最优控制器

MIXED H_2/H_∞ OPTIMAL CONTROLLER

首先给出了所有H_2最优控制器的参数化形式,在此基础上,提出同时也满足H_∞范数限制的控制器存在的充要条件。证明了通过求解两个代数Riccati方程,即可得到H_2/H_∞最优控制器。

A mixed H_2 /H_∞ optimal controller design problem is discussed, a parametrization of all H_2-optimal controllers is given and necessary and sufficient conditions for the existence of a controller that also satisfies H_∞-norm bound are derived. Finally, it is proved that a H_2/H_∞ optimal controller can be formulated by means of the solutions of two algebraic Riccati equations.