Applications of Interval Algorithms in Engineering

Abstract

The optimization of the functionality and the guarantee of a safe operation of a technical system are important issues in industry. These aspects become even more important when we have to deal with numerous uncertainties which heavily influence the behavior of the technical system under consideration and - in the worst case - cause system failure. Appropriate interval tools can offer solutions to problems where system uncertainties play a key role. Over the recent years at the Institute of Measurement, Control, and Microtechnology existing interval tools have been extended and new modules have been developed. In this contribution, successful applications of interval algorithms to real-world problems in various fields of engineering are presented. The focus is on measuring techniques including interval observers and sensitivity analysis as well as design of optimal and robust controllers for continuous-time and discrete-time systems.