Adaptive inverse optimal control of a novel fractional-order four-wing hyperchaotic system with uncertain parameter and circuitry implementation
type: Item
instance of: scholarly article
title: Adaptive inverse optimal control of a novel fractional-order four-wing hyperchaotic system with uncertain parameter and circuitry implementation
zbMATH Open document ID: 1394.93143
DOI: 10.1155/2015/741307
author: Chaojun Wu
author: Gangquan Si
author: Ningning Yang
author: Yanbin Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6927136
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/741307
OpenAlex ID: W2017040490
Wikidata QID: Q59119783
cites work: Topological horseshoe analysis and circuit realization for a fractional-order Lü system
cites work: A note on the fractional-order Chen system
cites work: A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
cites work: Q3572079
cites work: On nonlinear control design for autonomous chaotic systems of integer and fractional orders
cites work: Chaos in fractional-order autonomous nonlinear systems.
cites work: Chaos in Chen's system with a fractional order
cites work: FOUR-WING ATTRACTORS: FROM PSEUDO TO REAL
cites work: A new type of four-wing chaotic attractors in 3-D quadratic autonomous systems
cites work: A novel non-equilibrium fractional-order chaotic system and its complete synchronization by circuit implementation
cites work: On chaos control and synchronization of the commensurate fractional order Liu system
cites work: Parameter identification and synchronization of fractional-order chaotic systems
cites work: Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control
cites work: Modified projective synchronization of fractional-order chaotic systems via active sliding mode control
cites work: Control of a class of fractional-order chaotic systems via sliding mode
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Anlogue realizations of fractional-order controllers.
cites work: Stabilization using fractional-order PI and PID controllers
cites work: Studies of store-induced limit-cycle oscillations using a model with full system nonlinearities
cites work: A novel fractional-order hyperchaotic system stabilization via fractional sliding-mode control
cites work: Constructive nonlinear control
cites work: High‐gain observers in nonlinear feedback control
cites work: New nonlinear controller for a class of chaotic systems based on adaptive backstepping fuzzy-immune control
cites work: Adaptive sliding mode control of uncertain chaotic systems with input nonlinearity
cites work: Robust nonlinear control design. State-space and Lyapunov techniques
cites work: Inverse optimal stabilization of a rigid spacecraft
cites work: Q4233638
cites work: Q3403756
cites work: Fractal system as represented by singularity function
cites work: Q3512856
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description: scientific article; zbMATH DE number 6927136