Adaptive Reliable H Control of Uncertain Affine Nonlinear Systems

  • Ali Abootalebi
  • Farid Sheikholeslam
  • Saeed Hosseinnia
Regular Papers Control Theory and Applications


For general input affine nonlinear systems, robust reliable control designs are commonly available that compensate the actuator faults in pure outage mode. In this paper, a more general and complex problem is considered and an adaptive reliable H controller is designed for a class of uncertain input affine nonlinear systems in the presence of actuators fault. The key element of the work is the introduction of a novel adaptive mechanism that estimates the faults which are modeled as an outage or loss of effectiveness and stabilizes the overall system. Incorporating with the parameter projection algorithm and the solution of Hamilton-Jacobi-Inequality (HJI), the proposed method combines adaptive reliable control and robust H control techniques. A numerical approach is developed based on the Taylor series expansion for solving the HJI. Various simulation examples are given to illustrate the effectiveness of the proposed adaptive reliable H control scheme over the conventional H control and reliable H control method.


Adaptive control H control Hamilton-Jacobi-inequality HJI reliable control systems 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Ali Abootalebi
    • 1
  • Farid Sheikholeslam
    • 1
  • Saeed Hosseinnia
    • 2
  1. 1.Department of Electrical and Computer EngineeringIsfahan University of TechnologyIsfahanIran
  2. 2.Smart Microgrid Research Center, Najafabad BranchIslamic Azad UniversityNajafabadIran

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