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Resilient Adaptive Control

  • Magdi S. Mahmoud
Chapter
Part of the Lecture Notes in Control and Information Science book series (LNCIS, volume 303)

Abstract

This Chapter takes on some steps further along the way towards the controller fragility and performance deterioration issues due to inaccuracies in controller implementation. Interestingly enough, it addresses the problem of resilient adaptive control problem for classes of uncertain continuous-time and discrete-time systems with state-delays against controller gain variations. In the continuous case, design results on both norm-bounded and convexbounded parametric uncertainties are derived. In the discrete-case, design results on norm-bounded parametric uncertainties are developed. Adaptive control schemes are constructed when gain perturbation bounds are known and then extended to accommodate unknown norm-bounded perturbations. To complete the design profile, special cases of delayless continuous and discrete systems are provided. All the developed results are conveniently expressed in LMI feasibility problem. It is fair to mention that almost all the analytical developments hereafter are new and original contributions to the field of adaptive control applied to time-delay systems. Results of several simulation examples are presented to demonstrate the developed theory.

Keywords

Linear Matrix Inequality Adaptive Scheme Feedback Gain Adaptive Controller Adaptive Control Scheme 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  • Magdi S. Mahmoud
    • 1
  1. 1.Prof. Magdi S. Mahmoud UAE University College of Engineering Department of Electrical Engineering P.O. Box 17555-Al Ain Adu-Dhabi United Arab Emirates 

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