Controlling the Building Model Using High Order Sliding Mode Control Optimized by Multi Objective Genetic Algorithm

HASAN OMUR OZER, Yuksel Hacioglu, Nurkan Yagiz


High Order Sliding mode control (HOSMC) has been used in many mechanical systems and structural system due to its accuracy, chattering attenuation and high control performance. However, choosing controller parameters for systems is still an important research area. This study, presents a numerical analysis to decrease the effect of earthquake vibrations on building model having Active Tuned Mass Damper (ATMD). The system is excited by an earthquake and a linear motor is used as the control device. ATMD is installed on top floor of building model. Tuning of High Order Sliding Mode Controller (HOSMC) using Super Twisting Algorithm with Multi Objective Genetic Algorithm (MOGA) is designed for a three storey building model with ATMD. HOSMC parameters have been chosen by MOGA with multiple objective functions. Then, simulation results of uncontrolled and controlled model are compared. The results show that building model with HOSMC tuned by MOGA is effective to decrease the effects of vibrations.


High Order Sliding Mode Controller; Multi-Objective Genetic Algorithm; Building Model; Active Tuned Mass Damper; Simulation.

Full Text:



G.B. Warburton and E.O. Ayorinde, "Optimum Absorber Parameters for Simple Systems," Earthquake Engineering & Structural Dynamics, Vol. 3, pp. 197-217, 1980.

G.B. Warburton, "Optimum Absorber Parameters for Various Combinations of Response and Excitation Parameters," Earthquake Engineering & Structural Dynamics, Vol. 3, pp. 381-401, 1982.

A.G. Thompson, "Optimum Tuning and Damping of a Dynamic Vibration Absorber Applied to a Force Excited and Damped Primary System," Journal of Sound and Vibration, Vol. 3, pp. 403-415, 1981.

R. Villaverde, "Reduction in Seismic Response with Heavily-Damped Vibration Absorbers," Earthquake Engineering & Structural Dynamics, Vol. 1, pp. 33-42, 1985.

R. Villaverde and L.A. Koyama, "Damped Resonant Appendages to Increase Inherent Damping in Buildings," Earthquake Engineering & Structural Dynamics, Vol. 6, pp. 491-507, 1993.

R. Villaverde and S.C. Martin, "Passive Seismic Control of Cable-Stayed Bridges with Damped Resonant Appendages," Earthquake Engineering & Structural Dynamics, Vol. 2, pp. 233-246, 1995.

F. Sadek, et al., "A method of estimating the parameters of tuned mass dampers for seismic applications," Earthquake Engineering & Structural Dynamics, Vol. 6, pp. 617-635, 1997.

S. Pourzeynali, H.H. Lavasani, and A.H. Modarayi, "Active control of high rise building structures using fuzzy logic and genetic algorithms," Engineering Structures, Vol. 3, pp. 346-357, 2007.

V.I. Utkin, "Variable structure systems with sliding modes," IEEE Transactions on Automatic control, Vol. 2, pp. 212-222, 1977.

C. Edwards and S. Spurgeon, Sliding Mode Control: Theory and Applications. Taylor & Francis Ltd. 1998.

G. Bartolini, A. Ferrara, and E. Usai, "Chattering avoidance by second-order sliding mode control," IEEE Transactions on Automatic Control, Vol. 2, pp. 241-246, 1998.

A. Levant, "Sliding Order and Sliding Accuracy in Sliding Mode Control," International Journal of Control, Vol. 6, pp. 1247-1263, 1993.

A. Levant, "Homogeneity approach to high-order sliding mode design," Automatica, Vol. 5, pp. 823-830, 2005.

A. Levant, "Principles of 2-sliding mode design," Automatica, Vol. 4, pp. 576-586, 2007.

H.O. Ozer, Y. Hacioglu, and N. Yagiz, "High order sliding mode control with estimation for vehicle active suspensions," Transactions of the Institute of Measurement and Control, Doi: 10.1177/0142331216685394.

R.W. Clough and J. Penzien, Dynamics of structures. McGraw-Hill. 1975.

J.A. Moreno and M. Osorio, "A Lyapunov approach to second-order sliding mode controllers and observers," 47th IEEE Conference on Decision and Control, 2008 (CDC 2008), Vol., pp. 2856-2861, 2008.



  • There are currently no refbacks.

Copyright (c) 2017 Periodicals of Engineering and Natural Sciences (PEN)

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

ISSN: 2303-4521

Digital Object Identifier DOI: 10.21533/pen

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License