LMI-based designs for robust state and output derivative feedback guaranteed cost controllers in reciprocal state space form

Sever M., Yazıcı H.

International Journal of Control, vol.94, no.8, pp.2224-2237, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 94 Issue: 8
  • Publication Date: 2021
  • Doi Number: 10.1080/00207179.2019.1697465
  • Journal Name: International Journal of Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
  • Page Numbers: pp.2224-2237
  • Keywords: State derivative feedback, output derivative feedback, guaranteed cost control, linear quadratic regulator, reciprocal state space framework, polytopic uncertainties, linear matrix inequalities, VIBRATION CONTROL, POLE-PLACEMENT, NUMERICAL-SOLUTION, LINEAR-SYSTEMS, ALGORITHM
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2019 Informa UK Limited, trading as Taylor & Francis Group.In some practical problems, state derivative variables are more easily obtained than state variables. Solution of guaranteed cost control problem using derivative feedback for continuous, linear time-invariant systems in Reciprocal State Space form with or without polytopic uncertainties, is presented in this paper. Sufficient conditions on stability and performance are derived in terms of Linear Matrix Inequalities. State derivative and output derivative feedback gain matrices are found to minimise non-standard quadratic cost. Vibration attenuation performance of the proposed controllers are examined on an active suspension of a car seat example in the presence of suspension damping element failure. Numerical simulation results verify the superiority of guaranteed cost robust derivative feedback controllers over existing derivative feedback linear quadratic regulator controllers which are given in literature.