On the minimum effort regulation of stationary linear systems

✍ Scribed by I. Flügge-Lotz; H.D. Marbach

• Publisher: Elsevier Science
• Year: 1965
• Tongue: English
• Weight: 882 KB
• Volume: 279
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(65)90336-4

✦ Synopsis

The general problem here considered is the restoration of a perturbed system to its equilibrium state with the least expenditure of effort by the controlling elements. The measure of e fff'ort introduced encompasses cases in which the magnitude of effort expenditure does not explicitly depend upon the state of the controlled system.

It is shown that minimum-effort control is, in principle, de~ned by a time-varying feedback process. Closed-form solutions for several examples involving a minimum-fuel criterion are given, as well as an example involving a quadratia measure of effort. In each ease treated, the minimum-effort control is obtained as a time-varying function of the instantaneous state of the system.