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01.12.2013 | Original Article

Hierarchical fuzzy CMAC control for nonlinear systems

verfasst von: Floriberto Ortiz Rodríguez, José de Jesús Rubio, Carlos R. Mariaca Gaspar, Julio César Tovar, Marco A. Moreno Armendáriz

Erschienen in: Neural Computing and Applications | Sonderheft 1/2013

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Abstract

In this study, a novel indirect adaptive controller is introduced for a class of unknown nonlinear systems. The proposed method provides a simple control architecture that merges from the cerebellar model articulation controller (CMAC) network and hierarchical fuzzy logic; therefore, the complicated CMAC structure can be simplified. The overall adaptive scheme guarantees the uniform stability of the closed-loop system. A simulation is presented to demonstrate the performance of the proposed methodology.

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Aguilar-Ibañez CF (2009) The Lyapunov direct method for the stabilization of the ball on the actuated beam. Int J Control 82(12):2169–2178CrossRefMATH

Aguilar-Ibañez CF, Garrido Moctezuma R, Davila J (2012) Output feedback trajectory stabilization of the uncertainty DC servomechanism system. ISA Trans 51(6):801–807CrossRef

Angelov P, Kordon A (2010) Adaptive inferential sensors based on evolving fuzzy models. IEEE Trans Syst Man Cybern B Cybern 40(2):529–539CrossRef

Angelov P (2011) Fuzzily connected multimodel systems evolving autonomously from data streams. IEEE Trans Syst Man Cybern B Cybern 41(4):898–910CrossRef

Albus JS (1975) A New approach to manipulator control: the cerebellar model articulation controller (CMAC). J Dyn Syst Meas Control Trans ASME 97:220–227

Chen C-T (1998) Linear system theory and design, 3rd edn. Oxford University Press, Oxford, ISBN 0-19-511777-8

Chen C-H (2012) Wavelet-based adaptive robust control for a class of MIMO uncertain nonlinear systems. Neural Comput Appl 21:747–762CrossRef

Chen C-S (2011) Supervisory adaptive tracking control of robot manipulators using interval type-2 TSK fuzzy logic system. IET Control Theory Appl 5(15):1796–1807MathSciNetCrossRef

Fan X, Zhang N, Teng S (2003) Trajectory planning and tracking of ball and plate system using hierarchical fuzzy control scheme. Fuzzy Sets Syst 144:297–312MathSciNetCrossRefMATH

10.

Fan L-L, Song Y-D (2012) Neuro-adaptive model-reference fault-tolerant control with application to wind turbines. IET Control Theory Appl 6(4):475–486MathSciNetCrossRef

11.

Han SI, Lee JM (2011) Friction and uncertainty compensation of robot manipulator using optimal recurrent cerebellar model articulation controller and elasto-plastic friction observer. IET Control Theory Appl 5(18):2120–2141MathSciNetCrossRef

12.

Hojati M, Gazor S (2002) Hybrid adaptive fuzzy identification and control of nonlinear systems. IEEE Trans Fuzzy Syst 10(2):198–210

13.

Isidori A (1999) Nonlinear control systems II. Springer, Berlin, ISBN 1-85233-188-7

14.

Jimenez-Lizarraga M, Basin M, Rodriguez-Ramirez P (2012) Robust mini–max regulator for uncertain non-linear polynomial systems. IET Control Theory Appl 6(7):963–970MathSciNetCrossRef

15.

Jimenez-Lizarraga M, Basin M, Rodriguez-Ramirez P, Rubio JJ (2012) Robust control of a nonlinear electrical oscillator modeled by buffing equation. Int J Innov Comput Inf Control 8(5(A)):2941–2952

16.

Jiménez-Lizárraga M, Poznyak A (2012) Necessary conditions for Robust Stackelberg equilibrium in a multi-model differential game. Optim Control Appl Methods 33(5):595–613MathSciNetCrossRefMATH

17.

Knuplez A, Chowdhury A, Svecko R (2003) Modeling and control design for the ball and plate system. IEEE Int Conf Indus Technol 2:1064–1067

18.

Leite D, Ballini R, Costa P, Gomide F (2012) Evolving fuzzy granular modeling from nonstationary fuzzy data streams. Evol Syst 3(2):65–79CrossRef

19.

Lemos A, Caminhas W, Gomide F (2011) Multivariable Gaussian evolving fuzzy modeling system. IEEE Trans Fuzzy Syst 19(1):91–104CrossRef

20.

Lin C-M, Lin M-H, Yeh R-G (2012) Synchronization of unified chaotic system via adaptive wavelet cerebellar model articulation controller. Neural Comput Appl. doi:10.1007/s00521-012-1021-3

21.

Lughofer E, Angelov P (2011) Handling drifts and shifts in online data streams with evolving fuzzy systems. Appl Soft Comput 11(2):2057–2068CrossRef

22.

Lughofer E (2012) Single pass active learning with conflict and ignorance. Evol Syst 3:251–271CrossRef

23.

Lughofer E (2012) A dynamic split-and-merge approach for evolving cluster models. Evol Syst 3:135–151CrossRef

24.

Maciel L, Lemos A, Gomide F, Ballini R (2012) Evolving fuzzy systems for pricing fixed income options. Evol Syst 3:5–18CrossRef

25.

Macnab CJB (2011) Neural-adaptive control using alternate weights. Neural Comput Appl 20:211–221MathSciNetCrossRef

26.

Pérez-Cruz JH, Poznyak A (2010) Control of nuclear research reactors based on a generalized hopfield neural network. Intell Autom Soft Comput 16(1):39–60CrossRef

27.

Pérez Cruz JH, Ruiz Velázquez E, Rubio JJ, de Alba Padilla CA (2012) Robust adaptive neurocontrol of SISO nonlinear systems preceded by unknown deadzone. Math Probl Eng 2012:1–23CrossRef

28.

Pérez-Cruz JH, Rubio JJ, Ruiz-VelPázquez E, Solís-Perales G. (2012) Tracking control based on recurrent neural networks for nonlinear systems with multiple inputs and unknown deadzone. Abstr Appl Anal 2012:1–18CrossRef

29.

Pérez-Cruz JH, Alanis AY, Rubio JJ, Pacheco J (2012) System identification using multilayer differential neural networks: a new result. J Appl Math 2012:1–20CrossRef

30.

Pérez-Olvera CA (2009) Control visual difuso de un sistema no-lineal, CIC-IPN, Master thesis

31.

Pérez-Olvera CA, Moreno-Armendáriz MA, Rubio-Espino E, Zaragoza-Díaz JO (2008) Modulo de visión por computadora en tiempo real para el control de un sistema plano-esfera. Res Comput Sci 38:283–293

32.

Rubio JJ, Yu W (2006) A new discrete-time sliding-mode control with time-varying gain and neural identification. Int J Control 79(4):338–348CrossRefMATH

33.

Rubio JJ, Yu W (2007) Stability analysis of nonlinear system identification via delayed neural networks. IEEE Trans Circuits Syst II 54(2):161–165CrossRef

34.

Rubio JJ, Angelov P, Pacheco J (2011) An uniformly stable backpropagation algorithm to train a feedforward neural network. IEEE Trans Neural Netw 22(3):356–366CrossRef

35.

Rubio JJ, Torres C, Aguilar C (2011) Optimal control based in a mathematical model applied to robotic arms. Int J Innov Comput Info Control 7(8):5045–5062

36.

Rubio JJ (2012) Modified optimal control with a backpropagation network for robotic arms. IET Control Theory Appl 6(14):2216–2225MathSciNetCrossRef

37.

Rubio JJ, Figueroa M, Pérez-Cruz JH, Bejarano FJ (2012) Geometric approach and structure at infinite controls for the disturbance rejection. IET Control Theory Appl 6(16):2528–2537MathSciNetCrossRef

38.

Rubio JJ, Figueroa M, Pérez Cruz JH, Rumbo J (2012) Control to stabilize and mitigate disturbances in a rotatory inverted pendulum. Mexican J Phys E 58(2):107–112

39.

Wang LX (1994) Adaptive fuzzy systems and control. Prentice-Hall, Englewood Cliffs

40.

Wang C, Lin Y (2012) Decentralised adaptive dynamic surface control for a class of interconnected non-linear systems. IET Control Theory Appl 6(9):1172–1181

41.

Yoo SJ (2012) Adaptive neural output-feedback control for a class of non-linear systems with unknown time-varying delays. IET Control Theory Appl 6(1):130–140MathSciNetCrossRef

42.

Yen M-C, Hsu C-F, Chung I-H (2012) Design of a CMAC-based smooth adaptive neural controller with a saturation compensator. Neural Comput Appl 21:35–44CrossRef

43.

Yu W, Panuncio F, Li X (2011) Two-stage neural sliding-mode control of magnetic levitation in minimal invasive surgery. Neural Comput Appl 20:1141–1147CrossRef

Titel: Hierarchical fuzzy CMAC control for nonlinear systems
verfasst von: Floriberto Ortiz Rodríguez
José de Jesús Rubio
Carlos R. Mariaca Gaspar
Julio César Tovar
Marco A. Moreno Armendáriz
Publikationsdatum: 01.12.2013
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe Sonderheft 1/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-013-1423-x

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