Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller
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2017
Authors
Lazarević, MihailoCajić, Milan
Mandić, Petar
Sekara, Tomislav B.
Sun, HongGuang
Karličić, Danilo
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In this paper, we suggest a robust non-square MIMO (4x8) PID controller for the multi-mode active vibration damping of a nanobeam. Nanobeam is modeled by using the nonlocal continuum theory of Eringen to consider the small-scale effects and Euler-Bernoulli beam theory. The problem is analyzed for the free vibration case with Heaviside type disturbance of a nanobeam with and without the controller. The proposed system has four inputs and eight outputs, where by using the static decoupling method, decoupled system of four transfer functions is obtained. The controller parameters dependig on one tuning parmeter are designed to suppress the step disturbance on the input without overshooting. All theoretical results are verified with several numerical examples.
Keywords:
non-square / nonlocal theory / nanobeams / MIMO PID controller / active vibration controlSource:
Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017, 2017, 57-62Publisher:
- Institute of Electrical and Electronics Engineers Inc.
Funding / projects:
- Serbia-China bilateral project [3-12
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
- Dynamic stability and instability of mechanical systems subjected to stochastic excitations (RS-MESTD-Basic Research (BR or ON)-174011)
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Energy efficiency Improvement of Hydro and Thermal power plants in EPS by development and implementation of power electronics based regulation and automation equipment (RS-MESTD-Technological Development (TD or TR)-33020)
- Intelligent Control Systems of the Air-conditioning for the Purpose of Achieving Energy Efficient Exploitation Regimes in the Complex Operating Conditions (RS-MESTD-Technological Development (TD or TR)-33047)
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Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Cajić, Milan AU - Mandić, Petar AU - Sekara, Tomislav B. AU - Sun, HongGuang AU - Karličić, Danilo PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2702 AB - In this paper, we suggest a robust non-square MIMO (4x8) PID controller for the multi-mode active vibration damping of a nanobeam. Nanobeam is modeled by using the nonlocal continuum theory of Eringen to consider the small-scale effects and Euler-Bernoulli beam theory. The problem is analyzed for the free vibration case with Heaviside type disturbance of a nanobeam with and without the controller. The proposed system has four inputs and eight outputs, where by using the static decoupling method, decoupled system of four transfer functions is obtained. The controller parameters dependig on one tuning parmeter are designed to suppress the step disturbance on the input without overshooting. All theoretical results are verified with several numerical examples. PB - Institute of Electrical and Electronics Engineers Inc. C3 - Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 T1 - Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller EP - 62 SP - 57 DO - 10.1109/CCDC.2017.7978066 ER -
@conference{ author = "Lazarević, Mihailo and Cajić, Milan and Mandić, Petar and Sekara, Tomislav B. and Sun, HongGuang and Karličić, Danilo", year = "2017", abstract = "In this paper, we suggest a robust non-square MIMO (4x8) PID controller for the multi-mode active vibration damping of a nanobeam. Nanobeam is modeled by using the nonlocal continuum theory of Eringen to consider the small-scale effects and Euler-Bernoulli beam theory. The problem is analyzed for the free vibration case with Heaviside type disturbance of a nanobeam with and without the controller. The proposed system has four inputs and eight outputs, where by using the static decoupling method, decoupled system of four transfer functions is obtained. The controller parameters dependig on one tuning parmeter are designed to suppress the step disturbance on the input without overshooting. All theoretical results are verified with several numerical examples.", publisher = "Institute of Electrical and Electronics Engineers Inc.", journal = "Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017", title = "Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller", pages = "62-57", doi = "10.1109/CCDC.2017.7978066" }
Lazarević, M., Cajić, M., Mandić, P., Sekara, T. B., Sun, H.,& Karličić, D.. (2017). Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller. in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 Institute of Electrical and Electronics Engineers Inc.., 57-62. https://doi.org/10.1109/CCDC.2017.7978066
Lazarević M, Cajić M, Mandić P, Sekara TB, Sun H, Karličić D. Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller. in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. 2017;:57-62. doi:10.1109/CCDC.2017.7978066 .
Lazarević, Mihailo, Cajić, Milan, Mandić, Petar, Sekara, Tomislav B., Sun, HongGuang, Karličić, Danilo, "Multi-mode Active Vibration Control of a Nanobeam using a non-square MIMO PID controller" in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 (2017):57-62, https://doi.org/10.1109/CCDC.2017.7978066 . .