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Study on Robust H_∞ Fault-tolerant Control for Parameter Uncertain Time Delay Systems

Author: DuXiaoMing
Tutor: ChouJiQing
School: Hebei University of Science and Technology
Course: Applied Mathematics
Keywords: Parameter uncertainty Robust H_ ∞ Fault-tolerant control State feedback controller Linear matrix inequalities
CLC: TP13
Type: Master's thesis
Year: 2010
Downloads: 62
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Abstract


Parameters for uncertain systems with fault-tolerant control has broad application prospects, attention has been widespread concern. With the rapid development of science and technology, product requirements, is not limited to high-speed, high-performance, pay more attention to its safety and reliability. However, in complex, multi-factor unknown parameters affected and prone to failure of the system of nonlinear complex systems, the traditional control theory and control method increasingly shows limitations. Robust H ∞ fault-tolerant control has been widely used as an important means of modern control. Systems with unknown parameters Robust H ∞ fault-tolerant control research is a topic of theoretical and practical value. September 1986, the National Science Foundation and the American Society of electronic and control systems, electrical Institution of Engineers jointly at the University of Santa Clara, California, United States put forward the concept of fault-tolerant control. Pointed out that the fault-tolerant control system is more general control system, it requires not only that the system under study has a robust fault-tolerant control performance, but also allows the system to adapt to the significant changes. Robust fault-tolerant control research idea is: a control system inevitably will occur unknown fault, when the unknown fault in the system, and how to maintain system stability and normal operation. In this paper, the presence of actuator or sensor failure Robust H ∞ fault-tolerant control problem, the main contents can be summarized as the following aspects: 1) for a class of nonlinear systems with parametric uncertain time-delay based on TS fuzzy model, Liya Pu Ivanov stability theory, come to study the system to maintain a sufficient condition of asymptotic stability and robust fault-tolerant controller design method. Numerical simulations show the feasibility and effectiveness of the methods used. 2) for a Class of Uncertain Nonlinear Singular Systems with Time Delay Robust H ∞ fault-tolerant control, Lyapunov stability theory, sufficient condition to ensure the integrity of the system come to the system in the event of actuator failure, and given depends on the fault-tolerant controller design method of LMI. 3) for a Class of Uncertain Networked Control Systems Robust H ∞ fault-tolerant control based on TS fuzzy model to study the problem of the integrity of the design of the actuator and sensor fault, given depends on LMI Robust H ∞ fault-tolerant controller design method, taking into account the H ∞ performance index. 4) parameters with distributed delays for a class of uncertain stochastic systems robust fault-tolerant control problem, the application of the Lyapunov function, has been dependent on the LMI sufficient condition to make the system asymptotically stable, and gives the robust fault-tolerant controller design methods. Finally, in summing up the existing research on the basis of proposed some further thought and inquiry.

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