Vibration control strategy for large-scale structures with incomplete multi-actuator system and neighbouring state information

Francisco Palacios-Qui nonero; Josep Rubió-Massegú; Josep M. Rossell; Hamid Reza Karimi

Vibration control strategy for large-scale structures with incomplete multi-actuator system and neighbouring state information

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Author(s): Francisco Palacios-Qui nonero ¹ ; Josep Rubió-Massegú ¹ ; Josep M. Rossell ¹ ; Hamid Reza Karimi ²
- Affiliations: 1: Department of Mathematics, Universitat Politècnica de Catalunya (UPC), Av. Bases de Manresa 61-73, 08242 Manresa, Barcelona, Spain ;
  2: Department of Engineering, Faculty of Engineering and Science, University of Agder (UiA), 4898 Grimstad, Norway
Source: Volume 10, Issue 4, 26 February 2016, p. 407 – 416
DOI: 10.1049/iet-cta.2015.0737 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 30/07/2015, Accepted 01/11/2015, Revised 30/09/2015, Published 26/02/2016

The synthesis of optimal controllers for vibrational protection of large-scale structures with multiple actuation devices and partial state information is a challenging problem. In this study, the authors present a design strategy that allows computing this kind of controllers by using standard linear matrix inequality optimisation tools. To illustrate the main elements of the new approach, a five-story structure equipped with two interstory actuation devices and subjected to a seismic disturbance is considered. For this control setup, three different controllers are designed: an ideal state-feedback H _∞ controller with full access to the complete state information and two static output-feedback H _∞ controllers with restricted neighbouring state information. To assess the performance of the proposed controllers, the corresponding frequency responses are investigated and a proper set of numerical simulations are conducted, using the full scale North-South El Centro 1940 seismic record as ground acceleration input. The obtained results indicate that, despite the severe information constraints, the proposed static output-feedback controllers attain a level of seismic protection that is very similar to that achieved by the ideal state-feedback controller with complete state information.

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Vibration control strategy for large-scale structures with incomplete multi-actuator system and neighbouring state information

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