Abstract
In this paper, indirect adaptive state feedback control schemes are developed to solve the robust fault-tolerant control (FTC) design problem of actuator fault and perturbation compensations for linear time-invariant systems. A more general and practical model of actuator faults is presented. While both eventual faults on actuators and perturbations are unknown, the adaptive schemes are addressed to estimate the lower and upper bounds of actuator-stuck faults and perturbations online, as well as to estimate control effectiveness on actuators. Thus, on the basis of the information from adaptive schemes, an adaptive robust state feed-back controller is designed to compensate the effects of faults and perturbations automatically. According to Lyapunov stability theory, it is shown that the robust adaptive closed-loop systems can be ensured to be asymptotically stable under the influence of actuator faults and bounded perturbations. An example is provided to further illustrate the fault compensation effectiveness.
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This work was supported by the Funds for Creative Research Groups of China (No.60821063), National 973 Program of China (No.2009CB320604), the Funds of National Science of China (No.60974043), the 111 Project (No.B08015), and the Fundamental Research Funds for the Central Universities (No.N090604001, N090604002).
Xiaozheng JIN received his Ph.D. degree in Control Theory and Control Engineering from Northeastern University in 2010. He has been working at the Key Laboratory of Manufacturing Industrial Integrated Automation of Shenyang University. His research interests include fault-tolerant control, distributed control and complex networks. Corresponding author of this paper.
Guanghong YANG is a professor at Northeastern University. His current research interests cover fault-tolerant control, fault detection and isolation, and robust control. He is also a senior member of IEEE, an associate editor for the International Journal of Control, Automation and Systems (IJCAS), and an associate editor of the Conference Editorial Board of IEEE Control Systems Society.
Yanping LI is a professor at Shenyang University. He has been working at the Key Laboratory of Manufacturing Industrial Integrated Automation of Shenyang University. His current research interests cover discrete event dynamic system and hybrid system, optimization and control of production process, and integrated automation for complex industrial process.
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Jin, X., Yang, G. & Li, Y. Robust fault-tolerant controller design for linear time-invariant systems with actuator failures: an indirect adaptive method. J. Control Theory Appl. 8, 471–478 (2010). https://doi.org/10.1007/s11768-010-7260-x
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DOI: https://doi.org/10.1007/s11768-010-7260-x