Stabilization of Nonlinear Systems with Dynamic Chaos

The stabilization problem for nonlinear autonomous systems with dynamic chaos is considered. The proposed control synthesis methodology is based on the control spectrum of Lyapunov characteristic exponents. The synthesized feedback control makes it possible to ensure stability of special points or a...

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Bibliographic Details
Published in:Automatic control and computer sciences 2021-05, Vol.55 (3), p.213-221
Main Authors: Budnik, S. V., Shashihin, V. N.
Format: Article
Language:English
Subjects:
Computer Science
Control stability
Control Structures and Microprogramming
Control systems
Feedback control
Nonlinear systems
Stabilization
Synthesis
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Summary:The stabilization problem for nonlinear autonomous systems with dynamic chaos is considered. The proposed control synthesis methodology is based on the control spectrum of Lyapunov characteristic exponents. The synthesized feedback control makes it possible to ensure stability of special points or a limit cycle in a closed-loop system. The parameters of the stabilizing control are determined by solving a Sylvester matrix equation. An example of using the proposed methodology to synthesize control for a Rössler system is described.
ISSN:0146-4116
1558-108X
DOI:10.3103/S0146411621030032