CMA—H Hybrid Design of Robust Stable Adaptive Fuzzy Controllers for Non-linear Systems

  • Kaushik Das Sharma
  • Amitava Chatterjee
  • Patrick Siarry
  • Anjan Rakshit
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 225)


The present paper utilizes covariance matrix adaptation (CMA), an evolution strategy, in conjunction with H-based robust control law to design a stable adaptive fuzzy controller for a class of non-linear systems. The objective of the design is to develop a self-adaptive optimal/near optimal fuzzy controller, with guaranteed stability and satisfactory robust transient performance. The global search capability of CMA and H-based tuning, that provide a fast adaptation utilizing local search method, is employed in tandem with this proposed design methodology. The hybrid control strategy is implemented for benchmark simulation case study, and the results demonstrate the usefulness of the proposed approach.


Covariance matrix adaptation (CMA) H based robust control Adaptive fuzzy control Hybrid fuzzy control Non-linear systems 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Kaushik Das Sharma
    • 1
  • Amitava Chatterjee
    • 2
  • Patrick Siarry
    • 3
  • Anjan Rakshit
    • 2
  1. 1.Department of Applied PhysicsUniversity of CalcuttaKolkataIndia
  2. 2.Department of Electrical EngineeringJadavpur UniversityKolkataIndia
  3. 3.Lab. LiSSiUniversité Paris-Est CréteilVitry-sur-SeineFrance

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