DETERMINATION OF THE OPTIMUM RESPONSE OF LINEAR SYSTEMS
BABISTER, A. W.; The UniversityGlasgow
Журнал:
The Quarterly Journal of Mechanics and Applied Mathematics
Дата:
1958
Аннотация:
In (1) two response functions L and L<sub>1</sub>were defined by the equations L=∫0∞e2dτ and L1=∫0∞(dedτ)2dτ, where e is the error at time T. In (2) it was shown how these response functions could be used to obtain the optimum response for zero-displacement-error systems. The analysis is here applied to zero-velocity-error and zero-acceleration-error systems. The systems having the optimum response in velocity or in acceleration have a nonzero displacement lag. It is shown how the method can be extended to allow for the requirement of a zero-displacement-error in the final steady state.
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