Power transmission

A power servo system which includes actuator means adapted to variably actuate a load, said actuator means having a predetermined first polynomial transfer function in the sampled-data domain having a plurality of first constants related to dynamic behavior characteristics at said actuator means, and sampled-data servo control means including means for receiving a command signal, sensor means responsive to said actuator means for providing a sensor signal as a function of actuation at said actuator means, and means for providing an error signal to control said actuator means as a combined function fo said command signal and said sensor signal to obtain a preselected response characteristic at said actuator means characterized in that said means for providing said error signal comprises:

• means for periodically sampling said sensor signal to provide a sampled sensor signal,
• feedback compensation means receiving said sampled sensor signal and having a preselected second transfer function coordinated with said first transfer function to obtain said preselected response characteristics, said second transfer function in the sampled-data domain being a polynomial having a number of second constants which vary as functions of said first constants,
• first means for estimating said first constants,
• second means responsive to said first means and coupled to said feedback compensation means for calculating said second constants as a function of estimated first constants,
• means responsive to said feedback compensation means and to said command signals to provide said error signal,
• series compensation means responsive to said error signal to provide a drive signal to said actuator means, said series compensation means having a third transfer function which in the sampled-data domain in a polynomial having a number of third constants which vary as functions of said first constants, and
• third means coupled to said first means for calculating said third constants as a function of said estimated first constant;
• said actuator means being an electrohydraulic sactuator in which said first transfer function in the sampled-data domain is given by the expression:
• ##EQU13## where B.sub.1, B.sub.2 and .alpha. are constant functions of plant parameters given by the equations:
• .alpha.=2cos .omega.T+1 ##EQU14## where K.sub.5 is a gain constant, T is sampling period, is neutral stability resonant frequency of said actuator means, and Z is the sampled data domain transform variable;
• said second transfer function being given by the expression:
• G.sub.1 Z.sup.3 +G.sub.2 Z.sup.2 +G.sub.3 Z+G.sub.4
• said third transfer function being given by the expression:
• ##EQU15## and said means for receiving said command signal including amplification means having a transfer function which varies as a function of the sum of G.sub.1, G.sub.2, G.sub.3 and G.sub.4, where G.sub.1, G.sub.2, G.sub.3, G.sub.4, C.sub.1, C.sub.2 and C.sub.3 are constants related to said constants .alpha., B.sub.1 and B.sub.2 by the expression:
• ##EQU16## and where G.sub.s is preselected static gain constant given by the expression:
• ##EQU17##