An algorithm for the determination of the optimal frequency of periodic processes

✍ Scribed by A. Locatelli; S. Rinaldi

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 574 KB
• Volume: 6
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(70)90026-9

✦ Synopsis

Optimal periodic processes with given initial conditions are here considered from a computational point of view. A search plan for the frequency of the periodic process is derived according to a min-max criterion.

SnmmRry--The paper deals with the problem of optimization of periodic processes with given initial conditions. Under the assumption that an optimal solution of the variational problem exists for every period, a searching plan for the optimal frequency of the periodic process is derived solving a rain-max problem. The main feature of the algorithm is that at every step a lower bound of the value of the performance index to be minimized is provided, so that the ratio between the minimum at hand and such a bound can be assumed as a meaningful end-test for the searching plan. In this connection the convergence of the method is proved, in the sense shown that the above defined ratio becomes smaller than any prescribed value after a suitable but finite number of steps.