Skip to main content
Log in

Vibration control of a structure using sliding-mode hedge-algebras-based controller

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

Sliding-mode control is known as a popular approach of robust control methods. Fuzzy sliding-mode control method has been commonly used to prevent chattering phenomenon, drastic change of control factor, around sliding surface in sliding-mode control. In Hedge-algebras theory, inherent order relationships among linguistic values of each linguistic variable are always guaranteed and these values are determined by isomorphism mapping called semantically quantifying one based on a few fuzziness parameters of each linguistic variable instead of using fuzzy sets. In this paper, sliding-mode hedge-algebras-based controller is designed and applied in active control of a structure subjected to earthquake in order to show advantages of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Abdeljaber O, Avci O, Inman DJ (2016) Active vibration control of flexible cantilever plates using piezoelectric materials and artificial neural networks. J Sound Vib 363:33–53

    Article  Google Scholar 

  • Adhikari R, Yamaguchi H (1997) Sliding mode control of buildings with ATMD. Earthq Eng Struct Dyn 26:409–422

    Article  Google Scholar 

  • Ahn KK (2014) Active pneumatic vibration isolation system using negative stiffness structures for a vehicle seat. J Sound Vib 333:1245–1268

    Article  Google Scholar 

  • Alli H, Yakut O (2005) Fuzzy sliding-mode control of structures. Eng Struct 27:277–284

    Article  MATH  Google Scholar 

  • Anh ND, Bui H-L, Vu N-L, Tran D-T (2013) Application of hedge algebra-based fuzzy controller to active control of a structure against earthquake. Struct Control Health Monit 20:483–495. https://doi.org/10.1002/stc.508

    Article  Google Scholar 

  • Bui H-L, Tran D-T, Vu N-L (2012) Optimal fuzzy control of an inverted pendulum. J Vib Control 18:2097–2110

    Article  MathSciNet  Google Scholar 

  • Bui H-L, Nguyen C-H, Bui V-B, Le K-N, Tran H-Q (2015a) Vibration control of uncertain structures with actuator saturation using hedge-algebras-based fuzzy controller. J Vib Control 23:1984–2002

  • Bui H-L, Nguyen C-H, Vu N-L, Nguyen C-H (2015b) General design method of hedge-algebras-based fuzzy controllers and an application for structural active control. Appl Intell 43:251–275

    Article  Google Scholar 

  • Bui H-L, Le T-A, Bui V-B (2017a) Explicit formula of hedge-algebras-based fuzzy controller and applications in structural vibration control. Appl Soft Comput 60:150–166

    Article  Google Scholar 

  • Bui V-B, Tran Q-C, Bui H-L (2017b) Multi-objective optimal design of fuzzy controller for structural vibration control using Hedge-algebras approach. Artif Intell Rev. https://doi.org/10.1007/s10462-017-9549-3

    Google Scholar 

  • Crusells-Girona M, Aparicio ÁC (2016) Active control implementation in cable-stayed bridges for quasi-static loading patterns. Eng Struct 118:394–406

    Article  Google Scholar 

  • Chen H-Y, Liang J-W, Wu J-W (2013) Active pneumatic vibration control by using pressure and velocity measurements and adaptive fuzzy sliding-mode controller. Sensors 13:8431–8444

    Article  Google Scholar 

  • Chiang W-L, Yeh K, Liu M-Y (2000) Adaptive fuzzy sliding mode control for base-isolated buildings. Int J Artif Intell Tools 9:493–508

    Article  Google Scholar 

  • Choi S-B, Han Y-M (2007) Vibration control of electrorheological seat suspension with human-body model using sliding mode control. J Sound Vib 303:391–404

    Article  Google Scholar 

  • Deshpande VS, Mohan B, Shendge P, Phadke S (2014) Disturbance observer based sliding mode control of active suspension systems. J Sound Vib 333:2281–2296

    Article  Google Scholar 

  • Dhanalakshmi K, Umapathy M, Ezhilarasi D (2014) Shape memory alloy actuated structural control with discrete time sliding mode control using multirate output feedback. J Vib Control 22(5):1338–1357

  • Do HT, Park HG, Ahn KK (2014) Application of an adaptive fuzzy sliding mode controller in velocity control of a secondary controlled hydrostatic transmission system. Mechatronics 24:1157–1165

    Article  Google Scholar 

  • Du H, Zhang N, Naghdy F (2011) Actuator saturation control of uncertain structures with input time delay. J Sound Vib 330:4399–4412

    Article  Google Scholar 

  • Duc ND, Vu N-L, Tran D-T, Bui H-L (2012) A study on the application of hedge algebras to active fuzzy control of a seism-excited structure. J Vib Control 18:2186–2200

    Article  Google Scholar 

  • Gan Z, Hillis AJ, Darling J (2015) Adaptive control of an active seat for occupant vibration reduction. J Sound Vib 349:39–55

    Article  Google Scholar 

  • Ho N, Nam H (2002) Towards an algebraic foundation for a zadeh fuzzy logic. Fuzzy Sets Syst 129:229–254

    Article  Google Scholar 

  • Ho NC (2007) A topological completion of refined hedge algebras and a model of fuzziness of linguistic terms and hedges. Fuzzy Sets Syst 158:436–451

    Article  MathSciNet  MATH  Google Scholar 

  • Ho NC, Lan VN, Viet LX (2008) Optimal hedge-algebras-based controller: Design and application. Fuzzy Sets Syst 159:968–989

    Article  MathSciNet  MATH  Google Scholar 

  • Ho NC, Van Long N (2007) Fuzziness measure on complete hedge algebras and quantifying semantics of terms in linear hedge algebras. Fuzzy Sets Syst 158:452–471

    Article  MathSciNet  MATH  Google Scholar 

  • Ho NC, Wechler W (1990) Hedge algebras: an algebraic approach to structure of sets of linguistic truth values. Fuzzy Sets Syst 35:281–293

    Article  MathSciNet  MATH  Google Scholar 

  • Ho NC, Wechler W (1992) Extended hedge algebras and their application to fuzzy logic. Fuzzy Sets Syst 52:259–281

    Article  MathSciNet  MATH  Google Scholar 

  • Kim SB, Yun CB (2000) Sliding mode fuzzy control: theory and verification on a benchmark structure. Earthq Eng Struct Dyn 29:1587–1608

    Article  Google Scholar 

  • Li L, Song G, Ou J (2009) Nonlinear structural vibration suppression using dynamic neural network observer and adaptive fuzzy sliding mode control. J Vib Control 16:1503–1526

  • Li W, Luo B, Huang H (2016) Active vibration control of flexible joint manipulator using Input shaping and adaptive parameter auto disturbance rejection controller. J Sound Vib 363:97–125

    Article  Google Scholar 

  • Lim C, Park Y, Moon S (2006) Robust saturation controller for linear time-invariant system with structured real parameter uncertainties. J Sound Vib 294:1–14

    Article  MathSciNet  MATH  Google Scholar 

  • Lin J, Lian R-J, Huang C-N, Sie W-T (2009) Enhanced fuzzy sliding mode controller for active suspension systems. Mechatronics 19:1178–1190

    Article  Google Scholar 

  • Ngo QH, Nguyen NP, Nguyen CN, Tran TH, Hong K-S (2015) Fuzzy sliding mode control of container cranes. Int J Control Autom Syst 13:419–425

    Article  Google Scholar 

  • Nguyen C-H, Pedrycz W (2014) A construction of sound semantic linguistic scales using 4-tuple representation of term semantics. Int J Approx Reason 55:763–786

    Article  MathSciNet  MATH  Google Scholar 

  • Nguyen CH, Pedrycz W, Duong TL, Tran TS (2013) A genetic design of linguistic terms for fuzzy rule based classifiers. Int J Approx Reason 54:1–21

    Article  MathSciNet  MATH  Google Scholar 

  • Nguyen CH, Tran DK, Van Nam H, Nguyen HC (1999) Hedge algebras, linguistic-value logic and their application to fuzzy reasoning. Int J Uncertain Fuzziness Knowl Based Syst 7:347–361

    Article  MATH  Google Scholar 

  • Nguyen CH, Tran TS, Pham DP (2014) Modeling of a semantics core of linguistic terms based on an extension of hedge algebra semantics and its application. Knowl Based Syst 67:244–262

    Article  Google Scholar 

  • Pakos W, Wójcicki Z (2014) Vibration control of a cable-stayed footbridge using the tension changes of cable. Proc Eng 91:142–147

    Article  Google Scholar 

  • Pan H, Sun W, Gao H, Hayat T, Alsaadi F (2015) Nonlinear tracking control based on extended state observer for vehicle active suspensions with performance constraints. Mechatronics 30:363–370

    Article  Google Scholar 

  • Quoc NV, Park J-H, Choi S-B (2014) Design of a novel adaptive fuzzy sliding mode controller and application for vibration control of magnetorheological mount. Proc Inst Mech Eng Part C J Mech Eng Sci 228:2285–2302

    Article  Google Scholar 

  • Sam YM, Osman JH, Ghani MRA (2004) A class of proportional-integral sliding mode control with application to active suspension system. Syst Control Lett 51:217–223

    Article  MathSciNet  MATH  Google Scholar 

  • Schaper U, Dittrich C, Arnold E, Schneider K, Sawodny O (2014) 2-DOF skew control of boom cranes including state estimation and reference trajectory generation. Control Eng Pract 33:63–75

    Article  Google Scholar 

  • Sharma M, Singh S (2010) Fuzzy sliding mode control of plate vibrations. Shock Vib 17:71–92

    Article  Google Scholar 

  • Soltanpour MR, Khooban MH (2013) A particle swarm optimization approach for fuzzy sliding mode control for tracking the robot manipulator. Nonlinear Dyn 74:467–478

    Article  MathSciNet  MATH  Google Scholar 

  • Sung K-G, Han Y-M, Cho J-W, Choi S-B (2008) Vibration control of vehicle ER suspension system using fuzzy moving sliding mode controller. J Sound Vib 311:1004–1019

    Article  Google Scholar 

  • Teng J, Xing H, Lu W, Li Z, Chen C (2016) Influence analysis of time delay to active mass damper control system using pole assignment method. Mech Syst Signal Process 80:99–116

  • Thenozhi S, Yu W (2014a) Sliding mode control of wind-induced vibrations using fuzzy sliding surface and gain adaptation. Int J Syst Sci 47:1258–1267

  • Thenozhi S, Yu W (2014b) Stability analysis of active vibration control of building structures using PD/PID control. Eng Struct 81:208–218

    Article  Google Scholar 

  • Vukadinović D, Bašić M, Nguyen CH, Vu NL, Nguyen TD (2014) Hedge-algebra-based voltage controller for a self-excited induction generator. Control Eng Pract 30:78–90

    Article  Google Scholar 

  • Wang AP, Lee CD (2002) Fuzzy sliding mode control for a building structure based on genetic algorithms. Earthq Eng Struct Dyn 31:881–895

    Article  Google Scholar 

  • Yagiz N, Hacioglu Y, Taskin Y (2008) Fuzzy sliding-mode control of active suspensions. IEEE Trans Ind Electron 55:3883–3890

    Article  Google Scholar 

  • Yanik A, Aldemir U, Bakioglu M (2014) A new active control performance index for vibration control of three-dimensional structures. Eng Struct 62:53–64

    Article  Google Scholar 

  • Yu F-M, Chung H-Y, Chen S-Y (2003) Fuzzy sliding mode controller design for uncertain time-delayed systems with nonlinear input. Fuzzy Sets Syst 140:359–374

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This study was funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. “107.01-2015.10”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hai-Le Bui.

Ethics declarations

Conflict of interest

All authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Communicated by V. Loia.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tran, DT., Bui, VB., Le, TA. et al. Vibration control of a structure using sliding-mode hedge-algebras-based controller. Soft Comput 23, 2047–2059 (2019). https://doi.org/10.1007/s00500-017-2919-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-017-2919-6

Keywords

Navigation