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Adaptive fault-tolerant control of linear systems with actuator saturation and L 2-disturbances

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Abstract

This paper studies the problem of designing adaptive fault-tolerant H-infinity controllers for linear time-invariant systems with actuator saturation. The disturbance tolerance ability of the closed-loop system is measured by an optimal index. The notion of an adaptive H-infinity performance index is proposed to describe the disturbance attenuation performances of closed-loop systems. New methods for designing indirect adaptive fault-tolerant controllers via state feedback are presented for actuator fault compensations. Based on the on-line estimation of eventual faults, the adaptive fault-tolerant controller parameters are updated automatically to compensate for the fault effects on systems. The designs are developed in the framework of the linear matrix inequality (LMI) approach, which can guarantee the disturbance tolerance ability and adaptive H-infinity performances of closed-loop systems in the cases of actuator saturation and actuator failures. An example is given to illustrate the efficiency of the design method.

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Authors and Affiliations

  1. Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, and College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Wei Guan & Guanghong Yang

  2. School of Automation, Shenyang Institute of Aeronautical Engineering, Shenyang, Liaoning, 110136, China

    Wei Guan

Authors
  1. Wei Guan
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  2. Guanghong Yang
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Correspondence to Wei Guan.

Additional information

This work was partly supported by Program for New Century Excellent Talents in University (No.NCET-04-0283), the Funds for Creative Research Groups of China (No.60521003), Program for Changjiang Scholars and Innovative Research Team in University (No.IRT0421), the State Key Program of National Natural Science of China (No.60534010), the Funds of National Science of China (No.60674021) and the Funds of PhD program of MOE, China (No.20060145019), the 111 Project (No.B08015).

Wei GUAN is a Ph.D. candidate at the College of Information Science and Engineering, Northeastern University. His research interests include actuator saturation and state constraints.

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.

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Guan, W., Yang, G. Adaptive fault-tolerant control of linear systems with actuator saturation and L 2-disturbances. J. Control Theory Appl. 7, 119–126 (2009). https://doi.org/10.1007/s11768-009-8009-2

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  • DOI: https://doi.org/10.1007/s11768-009-8009-2

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