Abstract :
Some insights are given regarding the H∞-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
Keywords :
control system analysis; feedback; optimal control; Lagrange multiplier; auxiliary cost; balanced truncation; feedback; optimal control; optimal projection; reduced-order robust control; Control systems; Cost function; Entropy; Equations; H infinity control; Lagrangian functions; Optimal control; Optimized production technology; Robust control; Robustness;
