Optimal spectral control of multiple waves in smart composite beams with distributed sensor-actuator configuration

S. Gopalakrishnan; Debiprosad Roy Mahapatra

doi:10.1117/12.424388

6 April 2001 Optimal spectral control of multiple waves in smart composite beams with distributed sensor-actuator configuration

S. Gopalakrishnan, Debiprosad Roy Mahapatra

Author Affiliations +

Proceedings Volume 4234, Smart Materials; (2001) https://doi.org/10.1117/12.424388
Event: Smart Materials and MEMS, 2000, Melbourne, Australia

Abstract

A displacement based finite element model in Fourier domain coupled with Multi-input-multi-output (MIMO) optimal feedback control algorithm, called Active Spectral Element Model (ASEM) is presented. Implementation of this model, in this paper, is focused on local control of broadband waves in composite 2D beam network. Point sensors for velocity feedback and Piezoelectric Fiber Composite (PFC) for distributed longitudinal and bending actuation are considered in this study. The proposed model can accommodate generic sensor- actuator configuration in collocated as well as non-collocated form with PID feedback scheme. The formulation takes into account both sensor and actuator dynamics and nearfield effect on the sensors. Under this proposed framework of ASEM, the main objectives are (1) design of optimal feedback control parameters for multiple sensor-actuator configuration from distributed structural performance viewpoint and (2) capture various complex features of actively controlled broadband wave transmission in a simulation based realistic approach. The admissible sensor-actuator locations and connectivities are identified based on a semi-automated strategy by computing the total change in squared amplitude spectrum. A frequency weighted variable feedback gain optimization algorithm is constructed by minimizing complex power flow. Also, an adaptive gain selection scheme with upper bound to the actuator input voltage in implemented. The proposed model is computationally much faster and smaller in size compared to conventional MIMO state space models. Case studies on a composite cantilever beam and a three member network are carried out to illustrate the efficiency of the model.

Citation Download Citation

S. Gopalakrishnan and Debiprosad Roy Mahapatra "Optimal spectral control of multiple waves in smart composite beams with distributed sensor-actuator configuration", Proc. SPIE 4234, Smart Materials, (6 April 2001); https://doi.org/10.1117/12.424388

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