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Research Papers

H Fuzzy Tracking Control Design for Nonlinear Active Fault Tolerant Control Systems

[+] Author and Article Information
Huai-Ning Wu

School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100083, P.R.C.whn@buaa.edu.cn

Ming-Zhen Bai

School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100083, P.R.C.

J. Dyn. Sys., Meas., Control 130(4), 041010 (Jun 09, 2008) (9 pages) doi:10.1115/1.2936875 History: Received August 12, 2007; Revised January 02, 2008; Published June 09, 2008

This paper studies the problem of H fuzzy tracking control design for nonlinear active fault tolerant control systems based on the Takagi and Sugeno fuzzy model. Two random processes with Markovian transition characteristics are introduced to model the system component fault process and the fault detection and isolation decision process used to reconfigure the control law, respectively. The random behavior of the FDI process is conditioned on the fault process state. The parallel distributed compensation scheme is employed for the control design. As a result, a closed-loop fuzzy system with two Markovian jump parameters is obtained. Based on a stochastic Lyapunov function, a sufficient condition for stochastic stability of the closed-loop fuzzy system with a guaranteed H model reference tracking performance is first derived. A linear matrix inequality approach to the control design is then developed to reduce the effect of the external disturbance and reference input on tracking error as small as possible. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Mass-spring mechanical system

Grahic Jump Location
Figure 2

States of the fault and FDI processes

Grahic Jump Location
Figure 3

Trajectories of state x1 (solid line) and reference state x1r (dotted line)

Grahic Jump Location
Figure 4

Trajectories of state x2 (solid line) and reference state x2r (dotted line)

Grahic Jump Location
Figure 5

Control input of the mass-spring system

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