Chaos Suppression in Forced Chaotic Systems by Innovative Sliding Mode Control
| Autor: | Franco Torelli, G. Piccinni, Gianfranco Avitabile |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
Chaos suppression Chaotic System Lyapunov Sliding Control Van der Pol oscillator 0209 industrial biotechnology Van der Pol oscillator Optimization problem Sliding Control Differential equation Computer science Lyapunov Chaotic 02 engineering and technology Sliding mode control symbols.namesake 020901 industrial engineering & automation Control theory 0202 electrical engineering electronic engineering information engineering Trajectory symbols 020201 artificial intelligence & image processing Chaos suppression Chaotic System Sensitivity (control systems) Electrical and Electronic Engineering |
| Zdroj: | IEEE Transactions on Circuits and Systems II: Express Briefs. 67:1424-1428 |
| ISSN: | 1558-3791 1549-7747 |
| DOI: | 10.1109/tcsii.2019.2935228 |
| Popis: | This brief introduces a procedure for suppressing the chaos based on an innovative sliding mode control. The procedure forces the system trajectory to track a sliding surface by means of a continuous control law. At the same time, the control signal must be able to drive the system to reach, asymptotically, the prefixed equilibrium condition. To perform this task, a novel tracking control algorithm is exploited. The latter involves the solution of a multi-objective optimization problem with the dynamic constraint expressed by system differential equations. This optimization process is solved by an innovative computational procedure based on Lyapunov and Sensitivity theory. In order to validate the proposed method, this was applied to the Van der Pol chaotic oscillator. The simulation results demonstrated that the chaotic behavior is completely removed and the resulting system is not affected by the chattering problem. |
| Databáze: | OpenAIRE |
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