SYNTHESIZING FOLLOW-UP SYSTEMS BY THE METHOD OF FREQUENCY-UNIFORM OPTIMIZATION

The method of log-magnitude diagram has gained wide acceptance in the synthesis of scalar follow-up systems. It features visual representati on, of the result and relative simplicity of the algorithm. Yet not be ing an optimization method, it leaves open the question of improving t he chosen solution. The present paper proposes an optimization approac h to synthesizing follow-up systems which retains visualization and mi nimizes the natural characteristic of system quality - its degree of o scillations for given (to within a factor) log-magnitude diagrams in t he high-frequency and low-frequency domains. Therefore, the choice of the log-magnitude diagram of a closed system is replaced by the choice of frequency-dependent factors defining the penalties for deviations from the required boundaries, after which the proportionality coeffici ent and equation are calculated mechanically by the method of frequenc y-uniform optimization.