Model-free control of Lorenz chaos using an approximate optimal control strategy

Shuai Li; Yangming Li; Bu Liu; Timmy Murray

doi:10.1016/j.cnsns.2012.05.024

Model-free control of Lorenz chaos using an approximate optimal control strategy

Shuai Li, Yangming Li, Bu Liu, Timmy Murray

Research output: Journal article publication › Journal article › Academic research › peer-review

35 Citations (Scopus)

Abstract

In this paper, we are concerned with model-free control of the Lorenz chaotic system, where only the online input and output are available while the mathematic model of the system is unknown. The problem is formulated from an optimal control perspective and solved using an iterative method. The convergence of the iteration and the stability of the control law are proven in theory. Simulations validate theoretical conclusions and demonstrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	4891-4900
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	12
DOIs	https://doi.org/10.1016/j.cnsns.2012.05.024
Publication status	Published - 1 Dec 2012
Externally published	Yes

Keywords

Bellman equation
Lorenz chaotic system
Model-free control
Principle of optimality

ASJC Scopus subject areas

Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.cnsns.2012.05.024

Cite this

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Model-free control of Lorenz chaos using an approximate optimal control strategy

Abstract

Keywords

ASJC Scopus subject areas

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