Multi-objecitve control of dynamical systems

Petros Voulgaris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we consider the problem of minimizing the Hs-norm of the closed loop map while maintaining its £1-norm at a prescribed level. The problem is analyzed in the case of discrete-time, SISO closed loop maps. Utilizing duality theory, it is shown that the optimal solution is unique and has a finite impulse response. A finite step procedure is given for the construction of the exact solution. This procedure consists of solving a finite number of quadratic programming problems which can be performed using standard methods. Finally, continuity properties of the optimal solution with respect to changes in the £1-constraint are established.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages993-998
Number of pages6
ISBN (Electronic)9780791817186
DOIs
StatePublished - 1995
EventASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States
Duration: Sep 17 1995Sep 20 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume3A-1995

Conference

ConferenceASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Country/TerritoryUnited States
CityBoston
Period9/17/959/20/95

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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