Adaptive fuzzy backstepping dynamic surface control for output-constrained non-smooth nonlinear dynamic system

International Journal of Control, Automation and Systems - Tập 10 - Trang 684-696 - 2012
Seong-Ik Han1, Jang-Myung Lee1
1School of Electrical Engineering, Pusan National University, Busan, Korea

Tóm tắt

Output-constrained backstepping dynamic surface control (DSC) is proposed for the purpose of output constraint and precise output positioning of a strict feedback single-input, single-output dynamic system in the presence of deadzone and uncertainty. A symmetric barrier Lyapunov function (BLF) is employed to meet the output constraint requirement using DSC as an alternative method of backstepping control that is adopted mainly to deal with the BLF’s constraint control. However, using the ordinary DSC method with the BLF limits the selection of the control gain whereas this limitation does not exist in the backstepping structure. To remove this limitation, we propose a partial backstepping DSC method in which backstepping control is added only in the first recursive DSC design step. For precise positioning, an inverse deadzone method and adaptive fuzzy system are introduced to handle unknown deadzone and unmodeled nonlinear functions. We show that the semiglobal boundedness of the overall closed-loop signals is guaranteed, the tracking error converges within the prescribed region, and precise positioning performance is ensured. The proposed control scheme is experimentally evaluated using a robot manipulator.

Tài liệu tham khảo

K. Ngo and Z. Jiang, “Integrator backstepping using barrier functions for systems with multiple state constraints,” Proc. of the 44th IEEE Conf. Decision and Contr. Eur. Contr. Conf., pp. 8306–8312, 2005.

K. P. Tee, S. S. Ge, and E. H. Tay, “Barrier Lyapunov functions for the output-constrained nonlinear systems,” Automatica, vol. 45, no. 4, pp. 918–927, 2009.

B. B. Ren, S. S. Ge, K. P. Tee, and T. H. Lee, “Adaptive neural control for output feedback nonlinear systems using a barrier Lyapunov function,” IEEE Trans. Neural Networks, vol. 21, no. 8, pp. 1339–1345, 2010.

K. P. Tee, S. S. Ge, and E. H. Tay, “Adaptive control of electrostatic microactuator with bidirectional drive,” IEEE Trans. Contr. Syst. Technol., vol. 17, no. 2, pp. 340–352, 2009.

B. V. E. How, S. S. Ge, and Y. S. Choo, “Control of coupled vessel, crane, cable, and payload dynamics for subsea installation operation,” IEEE Trans. Contr. Sys. Tech., vol. 19, no. 1, pp. 208–220, 2011.

K. P. Tee and S. S. Ge, “Control of nonlinear systems with partial state constraints using a barrier Lyapunov function,” International Journal of Control, vol. 84, no. 12, pp. 2009–2023, 2010.

B. Niu and J. Zhao, “Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function,” International Journal of Science, iFirst, pp. 1–8, 2012.

K. P. Tee, B. Ren, and S. S. Ge, “Control of nonlinear systems with time-varying output constraints,” Automatica, in press, 2012.

M. Kristic, L. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design, Wiley, New York, 1995.

Y. Zhang, B. Fidan, and P. A. Ioannou, “Backstepping control of linear time-varying systems with known and unknown parameters,” IEEE Trans. Autom. Contr., vol. 48, no. 11, pp. 1908–1925, 2003.

S. Swaroop, J. K. Hedrick, P. P. Yip, and J. C. Gerdes, “Dynamic surface control for a class of nonlinear systems,” IEEE Trans. Autom. Contr., vol. 45, no. 10, pp. 1893–1899, 2000.

J. K. Hedrick and P. P. Yip, “Multiple sliding surface control: theory and application,” Trans. ASME, vol. 122, pp. 586–593, 2000.

D. Wang and J. Huang, “Neural network-based adaptive dynamic surface control for a class of unknown nonlinear systems in strict-feedback form,” IEEE Trans. Neural Networks, vol. 16, no. 1, pp. 195–202, 2005.

S. J. Yoo, J. B. Park, and Y. H. Choi, “Adaptive dynamic surface control of flexible-joint robots using self-recurrent wavelet neural networks,” IEEE Trans. Sys. Man and Cyber., Part B: Cyber., vol. 36, no. 6, pp. 1342–1354, 2006.

S. J. Yoo, J. B. Park, and Y. H. Choi, “Adaptive dynamic surface control for disturbance attenuation of nonlinear systems,” International Journal of Control, Automation, and Systems, vol. 7, no. 6, pp. 882–887, 2009.

W. S. Chen, “Adaptive backstepping dynamic surface control for systems with periodic disturbances using neural networks,” IET Contr. Theo. & Appl., vol. 3, no. 10, pp. 1383–1394, 2009.

S. Tong, G. Feng, and S. X. Ding, “Observer-based adaptive fuzzy dynamic surface control for a class of non-linear systems,” IET Contr. Theo. & Appl., vol. 5, no. 12, pp. 1426–1438, 2011.

X. Zhang, Y. Lin, and J. Mao, “A robust adaptive dynamic surface control for a class of nonlinear systems with unknown Prandtl-Ishilinskii hysteresis,” International Journal of Robust and Nonlinear Control, vol. 21, no. 13, pp. 1541–1561, 2011.

G. Tao and P. V. Kokotovic, “Adaptive control of plants with unknown dead-zones,” IEEE Trans. Autom., Contr., vol. 39, no. 1, pp. 59–68, 1994.

L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice-Hall, Englewood Cliffs, New York, 1995.

Y. C. Chang, “Robust tracking control of nonlinear MIMO systems via fuzzy approaches,” Automatica, vol. 36, no. 10, pp. 1535–1545, 2000.

E. Kim, “Output feedback tracking control of robot manipulators with model uncertainty via adaptive fuzzy logic,” IEEE Trans. Fuzzy Syst., vol. 12, no. 3, pp. 368–378, 2004.

J. P. Hwang and E. Kim, “Robust tracking control of an electrically driven robot: adaptive fuzzy logic approach,” IEEE Trans. Fuzzy Syst., vol. 14, no. 2, pp. 232–246, 2006.

M. M. Polycarpou and P. A. Ioannou, “A robust adaptive nonlinear control design,” Automatica, vol. 32, no. 3, pp. 423–427, 1996.

S. I. Han and J. M. Lee, “Friction and uncertainty compensation of robot manipulator using optimal recurrent cerebellar model articulation controller and elasto-plastic friction observer,” IET Control Theory & Appl., vol. 5, no. 18, pp. 2120–2041, 2011.

Humusoft Comp. MF 624 Multifunction I/O Card Manual, Czech Republic, 2006.

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Thông tin xuất bản

International Journal of Control, Automation and Systems

Tập 10

684-696

Thông tin tác giả