The Design of Low Order Controllers Using the Frobenius-Hankel Norm

摘要: Abstract : The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This an important for the control very high structures where a full controller inappropriate. To address this problem, approach using Frobenius-Hankel (FH) norm developed. FH shown to lead attractive robustness performance properties. A parameter optimization method developed provides iterative optimal parameters dynamic system gradient approach. Two distinct design methods are presented make use procedure. first determines minimizes closed loop system. While solution iterative, procedure proves be straight forward apply. second uses projective controls as step in design. allows designer take advantage features controls. Design then determined by solving called auxiliary minimization problem. Examples each given, including flexible structure resulting improvement only points effectiveness Theses. (jhd)