Modeling and Control of Low Frequency Dynamics of a Smart System

Kant, Mohit; Motsara, Arti; Parameswaran, Arun P.

doi:10.17485/ijst/2016/v9i44/101926

Cited by 3 publications

(4 citation statements)

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“…Where E b is the young's modulus of aluminum that constituted the beam element, A b being the cross sectional area of the beam element, I b being the moment of inertia calculated based on the geometry of the system, w(x, t) is the displacement function of a two node beam element while f ext * is the external force applied on the beam element. Now, through the application of suitable boundary conditions [10], [30], [31], [33], [34] the general solution to the low frequency dynamics of a two node beam element is determined as in ( 2)…”

Section: Analytic Approach To Modeling Of the Ssutmentioning

confidence: 99%

“…(2) As shown in [30], [31], [33], [34],the residual function (R d ) defined in (3) is solved as in (4) using a derived shape function q over the entire beam element length L b from (2) so as to obtain the optimum solution.…”

Section: Analytic Approach To Modeling Of the Ssutmentioning

confidence: 99%

“…By implementing displacement and velocity feedback control strategies, active control of the system vibrations was achieved. The authors in their work [10], [30], [31], [33], [34], [39], [40] developed analytical models of the piezo-composite cantilever beam employing finite element techniques incorporating the dynamics of the beam as well as piezo patch elements. Further, through successful simulations as well as in realtime, prototypes of classical [10], [33] and robust active controllers [30], [31], [34] were developed and deployed in the loop for control of system vibrations.…”

Section: Introductionmentioning

confidence: 99%

“…The authors in their work [10], [30], [31], [33], [34], [39], [40] developed analytical models of the piezo-composite cantilever beam employing finite element techniques incorporating the dynamics of the beam as well as piezo patch elements. Further, through successful simulations as well as in realtime, prototypes of classical [10], [33] and robust active controllers [30], [31], [34] were developed and deployed in the loop for control of system vibrations. An experimental study on active vibration damping of a cantilever structure was undertaken by [41], wherein the system was modeled via system identification technique with a state feedback controller designed by pole placement method operating in the closed loop.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and Experimental Investigations on Robust Output Feedback Control for Active Vibration Attenuation of Flexible Smart System

Parameswaran,

Padmasali,

Gangadharan

2023

IEEE Access

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This paper investigates the prototyping and implementation of an output feedback-based robust controller on a field programmable gate array (FPGA) platform. The smart system under test (SSuT) in this submission is a flexible cantilever beam bonded with piezoelectric (PZT 5H) patches that act as a sensor as well as an actuator (perturbance creation as well as control actuation). For ease of modeling and subsequent controller design in the laboratory studies, the low-frequency dynamics of the smart system are approximated to only a single degree of freedom (SDOF) in terms of flexural vibrations. The smart system under study (SSuT) is modeled analytically through finite element modeling and experimentally through sub-space system identification process. The developed models' accuracy is compared with the experimental results of non -parametric modeling. The developed models are then used to conduct the simulation studies with the designed robust output feedback controller in the closed loop. Apart from the simulation studies, the designed controller was also prototyped on an FPGA platform using LabVIEW FPGA with the associated hardware in loop to carry out the experimental validation of its performance. The robustness and efficiency of the prototype controller to control the system vibrations in real-time were proved through extensive tests at single resonant frequencies and a range of frequencies encompassing the dominant resonant regions in the flexural mode. Findings from this study are further used to ensure satisfactory active vibration control of smart cantilever systems in various heavy/aerospace industries by approximating them to suitable benchmark systems in the laboratory.

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