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Solving Nonconvex Optimization Problems in Systems and Control: A Polynomial B-spline Approach

  • Deepak GawaliEmail author
  • Ahmed Zidna
  • Paluri S. V. Nataraj
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 359)

Abstract

Many problems in systems and control engineering can be formulated as constrained optimization problems with multivariate polynomial objective functions. We propose algorithms based on polynomial B-spline form for constrained global optimization of multivariate polynomial functions. The proposed algorithms are based on a branch-and-bound framework. We tested the proposed basic constrained global optimization algorithms by considering three test problems from systems and control. The obtained results agree with those reported in literature.

Keywords

Polynomial B-spline Global optimization Polynomial optimization Constrained optimization 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Deepak Gawali
    • 1
    • 3
    Email author
  • Ahmed Zidna
    • 2
  • Paluri S. V. Nataraj
    • 3
  1. 1.Vidyavardhini’s College of Engineering and TechnologyMaharashtraIndia
  2. 2.Theoretical and Applied Computer Science LaboratoryUniversity of LorraineNancyFrance
  3. 3.Systems and control EngineeringIndian Institute of Technology BombayMumbaiIndia

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