Multi-objective control of dynamical systems

Petros Voulgaris

Research output: Chapter in Book/Report/Conference proceedingChapter


In this paper we consider the problem of minimizing the H2-norm of the closed loop map while maintaining its l1-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 l1-constraint are established.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
Number of pages6
Edition3 Pt A/2
StatePublished - Dec 1 1995
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Number3 Pt A/2


OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA

ASJC Scopus subject areas

  • Engineering(all)


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