Welcome to the InfoSci Platform
Reference Hub2
Robust Control and Synchronization of Chaotic Systems with Actuator Constraints

Robust Control and Synchronization of Chaotic Systems with Actuator Constraints

Kouamana Bousson, Carlos Velosa
Copyright: © 2015 |Pages: 43
ISBN13: 9781466672581|ISBN10: 1466672587|EISBN13: 9781466672598
DOI: 10.4018/978-1-4666-7258-1.ch001
Cite Chapter Cite Chapter

MLA

Bousson, Kouamana, and Carlos Velosa. "Robust Control and Synchronization of Chaotic Systems with Actuator Constraints." Handbook of Research on Artificial Intelligence Techniques and Algorithms, edited by Pandian Vasant, IGI Global, 2015, pp. 1-43. https://doi.org/10.4018/978-1-4666-7258-1.ch001

APA

Bousson, K. & Velosa, C. (2015). Robust Control and Synchronization of Chaotic Systems with Actuator Constraints. In P. Vasant (Ed.), Handbook of Research on Artificial Intelligence Techniques and Algorithms (pp. 1-43). IGI Global. https://doi.org/10.4018/978-1-4666-7258-1.ch001

Chicago

Bousson, Kouamana, and Carlos Velosa. "Robust Control and Synchronization of Chaotic Systems with Actuator Constraints." In Handbook of Research on Artificial Intelligence Techniques and Algorithms, edited by Pandian Vasant, 1-43. Hershey, PA: IGI Global, 2015. https://doi.org/10.4018/978-1-4666-7258-1.ch001

Export Reference

Mendeley
Favorite

Abstract

This chapter proposes a robust control approach for the class of chaotic systems subject to magnitude and rate actuator constraints. The approach consists of decomposing the chaotic system into a linear part plus a nonlinear part to form an augmented system comprising the system itself and the integral of the output error. The resulting system is posteriorly seen as a linear system plus a bounded disturbance, and two robust controllers are applied: first, a controller based on a generalization of the Lyapunov function, then a Linear-Quadratic Regulator (LQR) with a prescribed degree of stability. Numerical simulations are performed to validate the approach applying it to the Lorenz chaotic system and to a chaotic aeroelastic system, and parameter uncertainties are also considered to prove its robustness. The results confirm the effectiveness of the approach, and the constraints are guaranteed as opposed to other control techniques which do not consider any kind of constraints.

Request Access

You do not own this content. Please login to recommend this title to your institution's librarian or purchase it from the IGI Global bookstore.