CMAC-based supervisory control for nonlinear chaotic systems

Chih-Min Lin and Chiu-Hsiung Chen

Chaos, Solitons & Fractals, 2008, vol. 35, issue 1, 40-58

Abstract: This study proposes a supervisory control system based on a cerebellar-model-articulation-controller (CMAC) to resolve the tracking control problem of nonlinear chaotic systems. This CMAC-based supervisory control (CSC) system is composed of a CMAC and an H∞ supervisor. CMAC is a main tracking controller that is investigated to mimic a perfect control law and the H∞ supervisor is a supervisory controller that is developed to attenuate the effect of the approximation error between CMAC and the perfect control law. The gradient descent method and H∞ control technique are utilized to derive the on-line parameter tuning laws to achieve favorable tracking performance. Finally, the proposed CSC system is applied to control a Duffing–Holmes chaotic system and a chaotic Chua’s circuit. A comparison between a sliding-mode control and the proposed CSC for these nonlinear chaotic systems are presented. Simulation results show that the proposed CSC scheme can effectively achieve favorable control performance for nonlinear chaotic systems.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906004644
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:1:p:40-58

DOI: 10.1016/j.chaos.2006.05.025

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().