Control of chaotic two-predator one-prey model with single state control signals
| Autor: | Uğur Erkin Kocamaz, Alper Göksu, Harun Taşkın, Yılmaz Uyaroğlu |
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| Rok vydání: | 2020 |
| Předmět: |
Lyapunov stability
Surface (mathematics) Lyapunov function Equilibrium point 0209 industrial biotechnology Computer science Chaotic 02 engineering and technology Nonlinear control Sliding mode control Industrial and Manufacturing Engineering symbols.namesake 020901 industrial engineering & automation Artificial Intelligence Control theory 0202 electrical engineering electronic engineering information engineering symbols Quantitative Biology::Populations and Evolution 020201 artificial intelligence & image processing State (computer science) Software |
| Zdroj: | Journal of Intelligent Manufacturing. 32:1563-1572 |
| ISSN: | 1572-8145 0956-5515 |
| DOI: | 10.1007/s10845-020-01676-w |
| Popis: | In this paper, the complex control dynamics of a predator–prey Lotka–Volterra chaotic system are studied. The main purpose is to control the chaotic trajectories of two-predator one-prey system which was introduced by Samardzija and Greller (Bull Math Biol 50(5):465–491. https://doi.org/10.1007/BF02458847 , 1988). Lyapunov based nonlinear control and sliding mode control methods are used. The other purpose of this paper is to present the sliding mode control performances under different sliding surface choices. Based on the sliding mode control and Lyapunov stability theory, four alternative sliding surfaces are constructed to stabilize the chaotic two-predator one-prey model to its zero equilibrium point. The focused control signals realize the control from only one state which provides simplicity in implementation. Numerical simulations are demonstrated to validate the theoretical analyses and compare the effectiveness of proposed controllers for the chaotic Samardzija–Greller system. |
| Databáze: | OpenAIRE |
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