H-optimal mapping of actuators and sensors in flexible structures

Ara Arabyan, Sergey Chemishkian

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations


A computationally efficient method is described to search and find optimal spatial configurations for the placement (mapping) of a finite number of actuators and sensors on a continuous flexible structure to reduce the vibrations or deformations in the structure to a minimum in the H sense. The method produces a feedback controller corresponding to the minimal H norm of the disturbance-deformation operator. The computational cost of the optimal mapping search is reduced through two techniques. First, the computationally expensive goal function based on the complete H synthesis is evaluated only for the mappings that pass a computationally inexpensive test. Second, the target norm is adjusted statistically based on the already evaluated mappings. Mapping optimization based on exhaustive search and genetic algorithms are presented and demonstrated on a 30-node finite-element model of simply supported beam.

Original languageEnglish (US)
Pages (from-to)821-826
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1998
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: Dec 16 1998Dec 18 1998

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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