Fractional-order PD control design for active vibration control of smart structures
Abstract
Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures
and they play an important role in the field of active vibration control, especially in aerospace engineering.
Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional
calculus. The fractional-order model of a smart structure implies the necessity of using fractional order
controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative
(PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder
PD controller is parameterized, and these parameters are found by using of the Particle swarm
optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart
structure is found by experimental identification by using the frequency response method. In order to repre...sent
the efficiency of the proposed controller, obtained results are compared with the corresponding results in the
case when an integer-order PD controller is applied.
Keywords:
Smart structures / Active vibration control / Fractional calculus / H∞ controlSource:
International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020), 2020, 57-57Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200105 (University of Belgrade, Faculty of Mechanical Engineering) (RS-MESTD-inst-2020-200105)
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Institution/Community
Mašinski fakultetTY - CONF AU - Zorić, Nemanja AU - Tomović, Aleksandar AU - Obradović, Aleksandar AU - Mitrović, Zoran PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4025 AB - Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures and they play an important role in the field of active vibration control, especially in aerospace engineering. Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional calculus. The fractional-order model of a smart structure implies the necessity of using fractional order controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative (PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder PD controller is parameterized, and these parameters are found by using of the Particle swarm optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart structure is found by experimental identification by using the frequency response method. In order to represent the efficiency of the proposed controller, obtained results are compared with the corresponding results in the case when an integer-order PD controller is applied. C3 - International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020) T1 - Fractional-order PD control design for active vibration control of smart structures EP - 57 SP - 57 UR - https://hdl.handle.net/21.15107/rcub_machinery_4025 ER -
@conference{ author = "Zorić, Nemanja and Tomović, Aleksandar and Obradović, Aleksandar and Mitrović, Zoran", year = "2020", abstract = "Smart structures are obtained by integration of actuators, sensors and controllers into conventional structures and they play an important role in the field of active vibration control, especially in aerospace engineering. Certain elements of a smart structure possess viscoelastic properties which can be modeled by using fractional calculus. The fractional-order model of a smart structure implies the necessity of using fractional order controllers instead of integer order controllers. This paper deals with design of the fractional-order proportionalderivative (PD) controller with robust stability and disturbance rejection. The transfer function of the fractionalorder PD controller is parameterized, and these parameters are found by using of the Particle swarm optimization method minimizing a cost function related to the H����� norm. The fractional-order model of the smart structure is found by experimental identification by using the frequency response method. In order to represent the efficiency of the proposed controller, obtained results are compared with the corresponding results in the case when an integer-order PD controller is applied.", journal = "International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020)", title = "Fractional-order PD control design for active vibration control of smart structures", pages = "57-57", url = "https://hdl.handle.net/21.15107/rcub_machinery_4025" }
Zorić, N., Tomović, A., Obradović, A.,& Mitrović, Z.. (2020). Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020), 57-57. https://hdl.handle.net/21.15107/rcub_machinery_4025
Zorić N, Tomović A, Obradović A, Mitrović Z. Fractional-order PD control design for active vibration control of smart structures. in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020). 2020;:57-57. https://hdl.handle.net/21.15107/rcub_machinery_4025 .
Zorić, Nemanja, Tomović, Aleksandar, Obradović, Aleksandar, Mitrović, Zoran, "Fractional-order PD control design for active vibration control of smart structures" in International Conference of Experimental and Numerical Investigations and New Technologies (CNN TECH 2020) (2020):57-57, https://hdl.handle.net/21.15107/rcub_machinery_4025 .