Some insights are given regarding the H/sub infinity /-balanced truncation and optimal projection methods for reduced-order robust control. After a concise description of the optimal projection approach, it is shown how positive semidefiniteness of the Lagrange multiplier implies a minimized, not just extremized, auxiliary cost. When the results are specialized to the full-order case, it is observed that the apparently redundant fourth optimal projection equation has an important role to play, both in guaranteeing a minimized (not just extremized) auxiliary cost, and in removing nonminimal controller states.
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机译:关于H / SUB INFINITY / -BALACACTION截断和用于降低稳健控制的最佳投影方法,给出了一些见解。在提示最佳投影方法的描述之后,示出了拉格朗日乘法器的积极半纤维,这意味着最小化,而不仅仅是极端化的辅助成本。当结果专门用于全阶案例时,观察到显然冗余的第四最佳投影方程具有重要作用,这两者都可以在保证最小化(不仅是极端化)的辅助成本以及去除非初始控制器状态时的重要作用。
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