Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation

Joint Authors

Wu, Chaojun
Si, Gangquan
Zhang, Yanbin
Yang, Ningning

Source

Mathematical Problems in Engineering

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-03-02

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Civil Engineering

Abstract EN

An efficient approach of inverse optimal control and adaptive control is developed for global asymptotic stabilization of a novel fractional-order four-wing hyperchaotic system with uncertain parameter.

Based on the inverse optimal control methodology and fractional-order stability theory, a control Lyapunov function (CLF) is constructed and an adaptive state feedback controller is designed to achieve inverse optimal control of a novel fractional-order hyperchaotic system with four-wing attractor.

Then, an electronic oscillation circuit is designed to implement the dynamical behaviors of the fractional-order four-wing hyperchaotic system and verify the satisfactory performance of the controller.

Comparing with other fractional-order chaos control methods which may have more than one nonlinear state feedback controller, the inverse optimal controller has the advantages of simple structure, high reliability, and less control effort that is required and can be implemented by electronic oscillation circuit.

American Psychological Association (APA)

Wu, Chaojun& Si, Gangquan& Zhang, Yanbin& Yang, Ningning. 2015. Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074626

Modern Language Association (MLA)

Wu, Chaojun…[et al.]. Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-15.
https://search.emarefa.net/detail/BIM-1074626

American Medical Association (AMA)

Wu, Chaojun& Si, Gangquan& Zhang, Yanbin& Yang, Ningning. Adaptive Inverse Optimal Control of a Novel Fractional-Order Four-Wing Hyperchaotic System with Uncertain Parameter and Circuitry Implementation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-15.
https://search.emarefa.net/detail/BIM-1074626

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1074626