What Is the Economically Optimal Way to Guarantee Interval Bounds on Control?

Authors

Alfredo Vaccaro, University of Sannio
Martine Ceberio, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

6-2018

Comments

Technical Report: UTEP-CS-18-34a

Published in Proceedings of the 8th International Workshop on Reliable Engineering Computing REC'2018, Liverpool, UK, July 16-18, 2018.

Abstract

For control under uncertainty, interval methods enable us to find a box B=[u⁻₁,u⁺₁] X ... X [u⁻_n,u⁺_n] for which any control u from B has the desired properties -- such as stability. Thus, in real-life control, we need to make sure that u_i is in [u⁻_i,u⁺_i] for all parameters u_i describing control. In this paper, we describe the economically optimal way of guaranteeing these bounds.