Robust H_∞ controller design by loop shapingapproach

摘要

The paper describes the loop shaping design method on the basis ofnormalized coprime factorization H_∞ control theory. Theloop shaping approach can gain physical insight in system dynamics, andis effective in tradeoff between performance robustness and stabilityrobustness. The H_∞ control theory based upon normalizedcoprime factorization is concise in expression and high efficientwithout iteration. Furthermore, the loop shaping design strategycombined with the H_∞ control theory has an indicator toknow whether the shaping functions are valid or not and point out how toimprove the adjustment. The case study on a longitudinal flight controlsystem shows the high efficiency and effectiveness of this methodology