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Active Control with the Method of Receptances: Recent Progresses and Its Application in Active Aeroelastic Control

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Mathematical Modelling and Scientific Computing with Applications (ICMMSC 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 308))

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Abstract

The design of active control for large and complex engineering structures requires accurate modeling and prediction of their dynamic response and instabilities. The performance of traditional model based control may be limited due to the errors in model approximation, size of the problem and/or availability of limited data for realizing active control. To overcome some of these challenges the method of receptances is developed. This method allows design and computation of controller gains based on a modest size of receptance matrices which can be extracted from transfer functions associated with available sensors and actuators. The area of active aeroelastic control deals with developing wing technology for the next generation aircrafts to achieve increased performance by controlling and manipulating the aeroelastic response by active means. In these applications, receptance based controller design is found to be promising as it eliminates the modeling of complex aeroelastic interaction between elastic structure and surrounding aerodynamics. In this paper, fundamental of the receptance based control is introduced and recent progress in this area is summarized. The effectiveness of the controller designed with on-board sensors (embedded) and actuators (control surfaces) for suppressing the flutter instabilities and flutter boundary extension is demonstrated with numerical examples. The performance of the controller such as its ability to control prescribed modes of interest without influencing the other is also presented. Ongoing research in this area is briefly summarized in this paper.

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Authors and Affiliations

  1. Mechanical & Manufacturing Engineering Department, Miami University, Oxford, OH, 45056, USA

    Kumar Vikram Singh

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  1. Kumar Vikram Singh
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Correspondence to Kumar Vikram Singh .

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Editors and Affiliations

  1. Discipline of Mathematics, Indian Institute of Technology Indore, Indore, Madhya Pradesh, India

    Santanu Manna

  2. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, USA

    Biswa Nath Datta

  3. Discipline of Mathematics, Indian Institute of Technology Indore, Indore, Madhya Pradesh, India

    Sk. Safique Ahmad

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Singh, K.V. (2020). Active Control with the Method of Receptances: Recent Progresses and Its Application in Active Aeroelastic Control. In: Manna, S., Datta, B., Ahmad, S. (eds) Mathematical Modelling and Scientific Computing with Applications. ICMMSC 2018. Springer Proceedings in Mathematics & Statistics, vol 308. Springer, Singapore. https://doi.org/10.1007/978-981-15-1338-1_13

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