Adaptive Dynamic Surface Control for a Class of Uncertain High-order Stochastic Nonlinear Systems

DENG Tao; YAO Hong; DU Jun; JIANG Jiulong; ZHANG Zhuohang

doi:10.13976/j.cnki.xk.2014.0457

Volume 43 Issue 4

Aug. 2014

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INFORMATION AND CONTROL > 2014 > 43(4): 457-462,469. > DOI: 10.13976/j.cnki.xk.2014.0457 CSTR: 32166.14.xk.2014.0457

DENG Tao, YAO Hong, DU Jun, JIANG Jiulong, ZHANG Zhuohang. Adaptive Dynamic Surface Control for a Class of Uncertain High-order Stochastic Nonlinear Systems[J]. INFORMATION AND CONTROL, 2014, 43(4): 457-462,469. DOI: 10.13976/j.cnki.xk.2014.0457

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Adaptive Dynamic Surface Control for a Class of Uncertain High-order Stochastic Nonlinear Systems

1.
College of Aeronautics and Astronautics Engineering, Air Force Engineering University, Xi'an 710051, China
2.
Air Force Xi'an Flight Academy, Xi'an 710306, China
3.
College of Science, Air Force Engineering University, Xi'an 710051, China

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Received Date: April 26, 2013
Revised Date: February 11, 2014
Published Date: August 19, 2014

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Abstract

Abstract

To deal with the output tracking problem for a class of high-order stochastic nonlinear systems with unknown parameter vector in probability, we propose a non-smooth state-feedback dynamic surface controller. The adaptive control technology is used by the proposed controller to deal with the unknown parameter vector. And the Sigmoid function is introduced to guarantee that the derivative of the virtual controller is continuous. By means of choosing an appropriate Lyapunov function, the stability of the close-loop high-order stochastic nonlinear systems is analyzed. The main contribution lies in incorporating dynamic surface control into the non-smooth state-feedback controller design of the high-order stochastic nonlinear systems to overcome the problem of explosion of calculation. The simulation result shows that the output tracks the reference signal well in probability.
- high-order stochastic nonlinear systems,
- adaptive control,
- dynamic surface control

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Adaptive Dynamic Surface Control for a Class of Uncertain High-order Stochastic Nonlinear Systems

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