Research Article Volume 4 Issue 8

Controller Identification for Control of Nonlinear Systems

Alexandre Molter and Fabricio Bandeira Cabral

1,2Department of Mathematics and Statistics, Federal University of Pelotas, Brazil

*Corresponding Author: Alexandre Molter, Department of Mathematics and Statistics, Federal University of Pelotas, Campus Universitário, Pelotas, RS, Brazil.

Received: August 14, 2022; Published: September 26, 2022


Control of nonlinear systems has attracted attention of researchers for decades. In this work we applied the control identification technique to control nonlinear systems. This technique evaluates controllers even when they are not online. The knowledge of the plant parameters are not a priori required. We use exponentially weighted performance criteria. Simulation results are presented to analyze the effect of the discount factor for the control of the systems.

Keywords: Nonlinear Systems; Controller Identification Technique; Exponentially Weighted Performance; Discount Factor and Control; Algorithm


  1. Safonov MG and Tsao TC. “The unfalsified control concept: a direct path from experiment to controller”. Feedback Control, Nonlinear Systems, and Complexity 202 (1995): 196-214.
  2. Safonov MG and Tsao TC. “The unfalsified control concept and learning”. IEEE Transactions on Automatic Control6 (1997): 843-847.
  3. Safonov M G and Cabral F B. “Fitting controllers to data”. Systems and Control Letters4 (2001): 299-308.
  4. Molter A and Cabral F B. “Control of Chaos Using the Controller Identification Technique”. Mathematical Problems in Engineering (2017): 1-9.
  5. Rössler O E. “An equation for continuous chaos”. Physics Letters 57A 5 (1976): 397-398.
  6. Rössler O E. “An equation for hyperchaos”. Physics Letters 71A 2.3 (1979): 155-157.
  7. Rakov M and Balthazar J M. “On control and synchronization in chaotic and hyperchaotic systems via linear feedback control”. Communications in Nonlinear Science and Numerical Simulation 13 (2008): 1246-1255.
  8. Sun J and Zhang Y. “Impulsive control of Rössler systems”. Physics Letters A 306 (2003): 5-6, 306-312.
  9. Braselton J and Wu Y. “Applying Linear Controls to Chaotic Continuous Dynamical Systems”. Journal of Applied Sciences 6 (2016): 141-152.
  10. Hsieh JY., et al. “Controlling hyperchaos of the Rössler system”. International Journal of Control (2010): 1-6.
  11. Ma J and Yang Y. “Hyperchaos Numerical Simulation and Control in a 4D Hyperchaotic System”. Discrete Dynamics in Nature and Society (2013): 1-16.
  12. Banks HT., et al. “Nonlinear feedback controllers and compensators: a State-Dependent Riccati Equation approach”. Computational Optimization and Applications 37 (2007): 177-218.
  13. Mracek PC and Cloutier JR. “Control designs for the nonlinear benchmark problem via the State-Dependent Riccati Equation method”. International Journal of Robust and Nonlinear Control 8 (1998): 401-433.
  14. Barrio R., et al. “Whenchaos meets hyperchaos: 4D Rössler model”. Physics Letters A 379 (2015) 2300-2305.
  15. Wilczak D., et al. “Coexistence and Dynamical Connections between Hyperchaos and Chaos in the4D Rössler System: A Computer-Assisted Proof”. SIAM Journal of Applied Dynamical Systems1 (2016): 356-390.


Citation: Alexandre Molter and Fabricio Bandeira Cabral. “Controller Identification for Control of Nonlinear Systems". Acta Scientific Computer Sciences 4.10 (2022): 40-48.


Copyright: © 2022 Alexandre Molter and Fabrício Bandeira Cabral. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


Acceptance rate35%
Acceptance to publication20-30 days

Indexed In

News and Events

  • Certification for Review
    Acta Scientific certifies the Editors/reviewers for their review done towards the assigned articles of the respective journals.
  • Submission Timeline for Upcoming Issue
    The last date for submission of articles for regular Issues is May 30, 2024.
  • Publication Certificate
    Authors will be issued a "Publication Certificate" as a mark of appreciation for publishing their work.
  • Best Article of the Issue
    The Editors will elect one Best Article after each issue release. The authors of this article will be provided with a certificate of "Best Article of the Issue"
  • Welcoming Article Submission
    Acta Scientific delightfully welcomes active researchers for submission of articles towards the upcoming issue of respective journals.

Contact US