Skip to main content
Log in

Adaptive PID controller design for wing rock suppression using self-recurrent wavelet neural network identifier

  • Original Paper
  • Published:
Evolving Systems Aims and scope Submit manuscript

Abstract

This paper presents a novel control scheme based on auto-tuning PID controller to suppress wing rock phenomena. Due to having a complex dynamic, wing rock motion identification is not a simple task, and this complexity can adversely affect the performance of PID controller. Employing a wavelet neural network based identifier, this paper develops an auto tuning adaptive PID controller to tackle the problem. Since having an acceptable control performance inevitably involves having a meticulously trained identifier, the training performance is of utmost importance. Aiming at boosting the training efficacy, a two-phase algorithm encompassing Bees algorithm and Back-Propagation (BP) is proposed by this paper to train the proposed identifier respectively in off-line and on-line modes. Due to its inherent capability in sifting the global minima, Bees algorithm is employed to find initial values of weights around which it is then possible to conduct a local search by means of BP based online training. Therefore, the identifier can precisely furnish the proposed PID controller with the system sensitivity in on-line mode. The adaption of PID controller can thus be performed in each time step. The performance of this method has been presented in simulation results and the comparison section confirms the effectiveness of proposed scheme.

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

Similar content being viewed by others

References

  • Bagheri A, Karimi T, Amanifard N (2010) Tracking performance control of a cable communicated underwater vehicle using adaptive neural network controllers. Int J Appl Soft Comput 10:908–918

    Article  Google Scholar 

  • Capello E, Guglieri G, Sartori D (2012) Performance evaluation of an L1 adaptive controller for wing-body rock suppression. J Guid Control Dyn 35(6):1702–1708

    Article  Google Scholar 

  • Gazi V, Passino K (2000) Direct adaptive control using dynamic structure fuzzy systems. In: Proceedings of the American control conference, Chicago

  • Hsu CH, Lan E (1985) Theory of wing rock. AIAA J Aircr 22:920–924

    Article  Google Scholar 

  • Kooi S (2002) Adaptive control of limit cycle for unknown nonlinear hysteretic system using dynamic recurrent RBF networks. In: Proceedings of the international symposium of intelligent control, Vancouver, British Columbia, Canada

  • Liebst B (1998) The dynamics, prediction, and control of wingrock in high-performance aircraft. Philos Trans R Soc Lond A356:2257–2276

    Google Scholar 

  • Liu ZL, Svoboda J (2006) A new control scheme for nonlinear systems with disturbances. IEEE Trans Control Syst Technol 14(1):176–181

    Article  Google Scholar 

  • Liu ZL, Su C-Y, Svoboda J (2003) Control of wing rock using fuzzy PD controller. In: The 12th IEEE international conference on fuzzy systems, FUZZ’03, vol 1, St. Louis, pp 414–419

  • Luo J, Lan CE (1993) Control of wing-rock motion of slender delta wings. J Guid Control Dyn 16(2):225–231

    Article  Google Scholar 

  • Malekzadeh M, Khosravi A, Alighale S, Azami H (2012) Optimization of orthogonal poly phase coding waveform based on bees algorithm and artificial bee colony for MIMO radar. LNCS 7389:95–102

    Google Scholar 

  • Monahemi MM, Krstic M (1996) Control of wing rock motion using adaptive feedback linearization. J Guid Control Dyn 19(4):905–912

    Article  MATH  Google Scholar 

  • Nayfeh AH, Elzebda JM, Mook DT (1989) Analytical study of the subsonic wing-rock phenomenon for slender deltawings. AIAA J Aircr 26:805–809

    Article  Google Scholar 

  • Pan Y, Zhou Y, Sun T, Joo M (2013) Composite adaptive fuzzy H tracking control of uncertain nonlinear systems. NeuroComputing 99:15–24

    Article  Google Scholar 

  • Pham DT, Ghanbarzadeh A, Koc E, Otri S, Rahim S, Zaidi M (2006) The Bees algorithm, a novel tool for complex optimization problems. In: international virtual conference on intelligent production machines and systems, pp 454–459

  • Singh SN, Yim W, Wells WR (1995) Direct adaptive and neural control of wing-rock motion of slender delta wings. J Guid Control Dyn 18(1):25–30

    Article  Google Scholar 

  • Sreenatha AG, Patki MV, Joshi SV (2000) Fuzzy logic control for wing-rock phenomenon. Mech Res Commun 27:359–364

    Article  MATH  Google Scholar 

  • Tewari A (2000) Nonlinear optimal control of wing rock including Yawing motion. In: AIAA guidance, navigation, and control conference and exhibit, Denver

  • Yoo SJ, Park JB, Choi YH (2005) Stable predictive control of chaotic systems using self-recurrent wavelet neural network. Int J Contr Automat Syst 3(1):43–55

    Google Scholar 

  • Yoo SJ, Park JB, Choi YH (2007) Indirect adaptive control of nonlinear dynamic systems using self-recurrent wavelet neural networks via adaptive learning rates. Inf Sci 177:3074–3098

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Milad Malekzadeh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Malekzadeh, M., Sadati, J. & Alizadeh, M. Adaptive PID controller design for wing rock suppression using self-recurrent wavelet neural network identifier. Evolving Systems 7, 267–275 (2016). https://doi.org/10.1007/s12530-015-9143-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12530-015-9143-3

Keywords

Navigation