An inverse TSK model of MR damper for vibration control of nonlinear structures using an improved grasshopper optimization algorithm

Abstract This paper aims to present an alternative for modeling an inverse dynamic behaviors of a magneto-rheological (MR) damper using a Takagi-Sugeno-Kang (TSK) fuzzy inference system. The highly nonlinear dynamic nature of this device, however, has proven to be a significant challenge for researchers who try to characterize its behavior. Therefore, in this paper an optimum inverse TSK model of the MR dampers is developed using a meta-heuristic optimization algorithm to optimally emulate the nonlinear behavior of the MR dampers. Recently proposed grasshopper optimization algorithm (GOA) is selected as an optimization algorithm, and it is improved (IGOA) by adding opposition-based learning and merit function methods to boost its exploration and exploitation abilities. Also, IGOA is applied to tune the parameters exist in the TSK model. To investigate the efficiency of the proposed model, a nonlinear benchmark building under different far-field and near-field ground motions are considered, and results are compared with other control strategies such as clipped optimal controller (COC), passive ON, passive OFF and ANFIS. The results show that the proposed inverse TSK model of MR damper can provide very competitive results in comparison with other control algorithms.

[1]  Satish Nagarajaiah,et al.  Adaptive passive, semiactive, smart tuned mass dampers: identification and control using empirical mode decomposition, hilbert transform, and short‐term fourier transform , 2009, Structural Control and Health Monitoring.

[2]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[3]  Bijan Samali,et al.  Semi-Active LQG Control of Seismically Excited Nonlinear Buildings using Optimal Takagi-Sugeno Inverse Model of MR Dampers , 2011 .

[4]  Wei-Hsin Liao,et al.  Neural network modeling and controllers for magnetorheological fluid dampers , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[5]  Cheng-Jian Lin,et al.  An efficient immune-based symbiotic particle swarm optimization learning algorithm for TSK-type neuro-fuzzy networks design , 2008, Fuzzy Sets Syst..

[6]  Nicholas Fisco,et al.  Smart structures: Part I—Active and semi-active control , 2011 .

[7]  Nicholas Fisco,et al.  Smart structures: Part II — Hybrid control systems and control strategies , 2011 .

[8]  Shirley J. Dyke,et al.  Benchmark Control Problems for Seismically Excited Nonlinear Buildings , 2004 .

[9]  S. Hurlebaus,et al.  Smart structure dynamics , 2006 .

[10]  Hamid R. Tizhoosh,et al.  Opposition-Based Learning: A New Scheme for Machine Intelligence , 2005, International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06).

[11]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[12]  Caro Lucas,et al.  Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition , 2007, 2007 IEEE Congress on Evolutionary Computation.

[13]  Armen Der Kiureghian,et al.  Inverse Reliability Problem , 1994 .

[14]  A. Kiureghian,et al.  Optimization algorithms for structural reliability , 1991 .

[15]  Chih-Chen Chang,et al.  NEURAL NETWORK EMULATION OF INVERSE DYNAMICS FOR A MAGNETORHEOLOGICAL DAMPER , 2002 .

[16]  M. Askari,et al.  Experimental forward and inverse modelling of magnetorheological dampers using an optimal Takagi–Sugeno–Kang fuzzy scheme , 2016 .

[17]  Hossam Faris,et al.  Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems , 2017, Adv. Eng. Softw..

[18]  Shima Kamyab,et al.  Designing of rule base for a TSK- fuzzy system using bacterial foraging optimization algorithm (BFOA) , 2012 .

[19]  Siamak Talatahari,et al.  Optimal Design of Magnetorheological Damper Based on Tuning Bouc-Wen Model Parameters Using Hybrid Algorithms , 2020 .

[20]  Li Zhao,et al.  A review of opposition-based learning from 2005 to 2012 , 2014, Eng. Appl. Artif. Intell..

[21]  Shirley J. Dyke,et al.  PHENOMENOLOGICAL MODEL FOR MAGNETORHEOLOGICAL DAMPERS , 1997 .

[22]  P. Boggs,et al.  Sequential quadratic programming for large-scale nonlinear optimization , 2000 .

[23]  Seyed Mohammad Mirjalili,et al.  The Ant Lion Optimizer , 2015, Adv. Eng. Softw..

[24]  Kangyu Lou,et al.  Smart Structures: Innovative Systems for Seismic Response Control , 2008 .

[25]  Ruben Morales-Menendez,et al.  An experimental artificial-neural-network-based modeling of magneto-rheological fluid dampers , 2012 .

[26]  Mohammad Reza Ghasemi,et al.  ESTIMATION OF INVERSE DYNAMIC BEHAVIOR OF MR DAMPERS USING ARTIFICIAL AND FUZZY-BASED NEURAL NETWORKS , 2012 .

[27]  Andrew Lewis,et al.  The Whale Optimization Algorithm , 2016, Adv. Eng. Softw..

[28]  Abolghassem Zabihollah,et al.  Neuro-fuzzy control strategy for an offshore steel jacket platform subjected to wave-induced forces using magnetorheological dampers , 2012 .

[29]  B. F. Spencer,et al.  Active Structural Control: Theory and Practice , 1992 .

[30]  Hyung-Jo Jung,et al.  State-of-the-art of semiactive control systems using MR fluid dampers in civil engineering applications , 2004 .

[31]  Billie F. Spencer,et al.  Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction , 1996 .

[32]  Chin-Hsiung Loh,et al.  Neuro-fuzzy model of hybrid semi-active base isolation system with FPS bearings and an MR damper , 2006 .

[33]  Andrew Lewis,et al.  Grasshopper Optimisation Algorithm: Theory and application , 2017, Adv. Eng. Softw..

[34]  Xin-She Yang,et al.  1 – Metaheuristic Algorithms in Modeling and Optimization , 2013 .

[35]  Abdolreza Joghataie,et al.  Optimal control of nonlinear frames by Newmark and distributed genetic algorithms , 2012 .

[36]  Hosein Ghaffarzadeh,et al.  Damage Identification in Truss Structures Using Finite Element Model Updating and Imperialist Competitive Algorithm , 2016 .

[37]  Hao Wang Modeling of Magnetorheological Damper Using Neuro-Fuzzy System , 2009, ICFIE.

[38]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[39]  Radu-Emil Precup,et al.  Nature-inspired optimal tuning of input membership functions of Takagi-Sugeno-Kang fuzzy models for Anti-lock Braking Systems , 2015, Appl. Soft Comput..

[40]  Xin-She Yang,et al.  Metaheuristic Applications in Structures and Infrastructures , 2013 .

[41]  M. Burrows,et al.  Mechanosensory-induced behavioural gregarization in the desert locust Schistocerca gregaria , 2003, Journal of Experimental Biology.

[42]  Boutaieb Dahhou,et al.  TSK fuzzy model with minimal parameters , 2015, Appl. Soft Comput..

[43]  J. N. Yang,et al.  Optimal Control of Nonlinear Structures , 1988 .

[44]  Shahryar Rahnamayan,et al.  Opposition-Based Differential Evolution Algorithms , 2006, 2006 IEEE International Conference on Evolutionary Computation.

[45]  Kazuo Tanaka,et al.  Successive identification of a fuzzy model and its applications to prediction of a complex system , 1991 .

[46]  Wei-Hsin Liao,et al.  Modeling and control of magnetorheological fluid dampers using neural networks , 2005 .

[47]  Seyedali Mirjalili,et al.  SCA: A Sine Cosine Algorithm for solving optimization problems , 2016, Knowl. Based Syst..

[48]  Nader Jalili,et al.  A Comparative Study and Analysis of Semi-Active Vibration-Control Systems , 2002 .

[49]  Abdolreza Joghataie,et al.  Designing optimal tuned mass dampers for nonlinear frames by distributed genetic algorithms , 2012 .