Robust control of disturbed fractional-order economical chaotic systems with uncertain parameters
type: Item
instance of: scholarly article
title: Robust control of disturbed fractional-order economical chaotic systems with uncertain parameters
zbMATH Open document ID: 1429.93262
DOI: 10.1155/2019/7567695
author: Song Xu
author: Hui Lv
author: Heng Liu
author: Aijing Liu
published in: Complexity
publication date: 2019-11-25T00:00:00Z
review text: Summary: This paper focuses on the robust control of fractional-order economical chaotic system (FOECS) with parametric uncertainties and external disturbances. The dynamical behavior of FOECS is studied by numerical simulation, and circuit implementations of FOECS are also given. Based on fractional-order Lyapunov stability theorems, a robust adaptive controller, which can guarantee that all signals remain bounded and the tracking error tends to a small region, is designed. The proposed method can be used to control a large range of fractional-order systems with system uncertainties. Fractional-order adaptation laws are constructed to update the estimation of adaptive parameters. Finally, the robustness and effectiveness of our control method are indicated by simulation results.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 7136338
describes a project that uses: Fractional Order Chaotic Systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/7567695
OpenAlex ID: W2982612033
Wikidata QID: Q126856158
cites work: Q4233638
cites work: Regularity of the solution to 1-D fractional order diffusion equations
cites work: Fractional-order nonlinear systems. Modeling, analysis and simulation
cites work: Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
cites work: Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
cites work: Adaptive backstepping output feedback control for a class of nonlinear fractional order systems
cites work: Fuzzy Adaptive Synchronization of Incommensurate Fractional-Order Chaotic Systems
cites work: Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional‐order chaotic systems
cites work: Lag projective synchronization of fractional-order delayed chaotic systems
cites work: Finite-time stabilizing a fractional-order chaotic financial system with market confidence
cites work: Multi-objective active control policy design for commensurate and incommensurate fractional order chaotic financial systems
cites work: On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system
cites work: A graph approach for fuzzy-rough feature selection
cites work: A dynamic IS-LM model with delayed taxation revenues
cites work: Chaotic attractors in incommensurate fractional order systems
cites work: New aspects of the adaptive synchronization and hyperchaos suppression of a financial model
cites work: Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Lyapunov functions for fractional order systems
cites work: Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system
cites work: Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system
cites work: Finite-time fractional-order adaptive intelligent backstepping sliding mode control of uncertain fractional-order chaotic systems
cites work: Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
description: scientific article; zbMATH DE number 7136338